3em] \end{vmatrix}\) On expanding the above, ⇒ {cos 15°} {cos 15°} - {sin 15°} {sin 15°} On applying formula cos(A + B) = cos A cos B - sin A sin B = cos (15 + 15) = cos (30°) exact value of sin 75 + sin 15 Jika diketahui bahwa cos 1/2 theta=akar ( (x+1)/2x), operas Tentukan nilai dari sin 105+sin 15. Step by step video & image solution for What is value of expression 2(sin15^(@)+sin75^(@))^(2)? by Physics experts to help you in doubts & scoring excellent marks in Class 12 exams. Step 1. 2) Rewriting sin75. Ex 3. OR. The exact value of is . (3) and (4) we get, 2 sin 15° = √(1 + ½) – √(1 – ½) 2 sin 15° = (√3−1)/√2. 아래는 삼각형의 덧셈정리 Click here👆to get an answer to your question ️ the value of sin 15circ is Kesimpulan.So this won't get us the answer. Tentukan Nilai yang Tepat sin (75)+sin (15) sin(75) + sin(15) Sederhanakan setiap suku. Our results of sin15° have been rounded to five decimal places. (i) sin2 +sin275 cos236 +cos2.965926 sin(90)=1. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. Get Started. Q 4. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. CBSE Science (English Medium) Class 12. Tap for more steps √6 2 The result can be shown in multiple forms. Find the exact value of the expression. Pass; Skill Academy; Free Live Classes; Free Live Tests & Quizzes; Previous Year Papers; Doubts; Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . sin 15° = cos 15°. 아래는 삼각형의 덧셈정리 입니다. Explanation: sin15°cos75° + cos15°sin75° = sin(15° + 75°) = sin(90) = 1 Answer link martin23239 Mar 1, 2018 We have the answer: sin15∘cos75∘ +cos15∘sin75∘ = 1. The exact value of is . The exact value of sin(15) sin ( 15) is √6−√2 4 6 - 2 4. Hence the value of sin 75° = y = 0. Step 1. Trigonometri adalah cabang matematika yang mempelajari hubungan antara sudut dan panjang sisi segitiga.1. Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) 03:25.26179 . Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) Attend Special Counselling Seminars for IIT-JEE, NEET and Board Exams; Login +91. sin(75) + sin(15) = sin(45 + 30) + sin(45 – 30) We know that, sin(A + B) = sinA. Limits.3 Lakh Users 100 Questions 200 Marks 60 Mins Start Now Detailed Solution Download Solution PDF ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t Squaring on both sides, we get ⇒ sin 2 15° + cos 2 15° + 2sin 15°. Cite. Nilai eksak dari adalah . Tentukan nilai dari: a. Q. Exams SuperCoaching Test Series Skill Academy.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc Sin and Cos of 3°, 21°, 33°, 39°, 51°, 57°, 69°, and 87° each have two answers. Lượng giác. 1/2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Note: Since, cosine is an even function, the value of cos (-15°) = cos (15°).1. trigonometry. = 1. 9.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3.2588) of the point of intersection (0. $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Explanation: The expression given matches the pattern of the formula for sin(x + y). Nyatakan sebagai jumlah atau selisih kosinus, dan sederha As we know, ⇒ cos (A - B) = cos A cos B + sin A sin B ⇒ sin 15° sin 75° + cos 75° cos 15° ⇒ cos 75° cos 15° + sin 15&d. ⇒ 1 + 1/2 = t 2. sin A + sin B = 2sin{(A+B)/2}cos {(A-B)/2} so, 2(sin 15º+sin 75°) = 2×2 sin {(15+75)/2}cos {(15-75)/2} =4sin {90/2}cos {(-60/2)} =4sin 45° cos (-30°) we know. sin 75° + sin 15° = 2 sin 90° sin 60° O B. Trigonometry questions and answers. So, sin45 + sin15 = √2 + √2 − √3 2. .cos30 + cos45. Trigonometri adalah cabang matematika yang mempelajari hubungan antara sudut dan panjang sisi segitiga. Step 5. SSC CGL Result Out on 6th December 2023.. The formula states that sin(A− How to find the value of cos 15° - sin 15° using trigonometric formulas? Learn the solution and the concept behind it with BYJU'S, the best online learning platform for maths and science. cos 30°=√3/2. We will begin with the sum and difference formulas for cosine, so that we can find the cosine of a given angle if we can break it up into the sum or difference of two of the special angles. So. Textbook Solutions 13653. 1 + 2 tan2 θ + 2 sin θ sec2 θ, 0° θ 90°, is equal to. Evaluate the following and justify your answer. The exact value of is . Jawaban terverifikasi. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. Method 2: Another method to find the value of sin 15 degrees is join our group for asking your maths doubt pls click below link sin 15° sin 75° + cos 75° cos 15 Find the Exact Value sin(15) Step 1.elgna laiceps a fo elpitlum a sa ∘561 ezingocer t'nod I -- 561+ 03 . This year, SSC completely changed the exam pattern. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. The trigonometric identities can be used to represent sin 15° as follows: sin(180° - 15°) = sin 165°-sin(180° + 15°) = -sin 195° cos(90° - 15°) = cos 75°-cos(90° + 15°) = -cos 105° Simplify: sin 15° sin 75° + cos 75° cos 15° - YouTube join our group for asking your maths doubt pls click below link sin 15° sin 75° Trigonometry Simplify sin (75)cos (15)+cos (75)sin (15) sin(75) cos (15) + cos (75)sin (15) sin ( 75) cos ( 15) + cos ( 75) sin ( 15) Simplify each term. Kita gunakan rumus selisih cos ( α - β ) = cos α cos β + sin α sin β. Click a picture with our app and get instant verified solutions.387782 sin(90)=0.4 Partial Fractions; 9. Sports - 01. sin(30+45) sin ( 30 + 45) Áp dụng công thức tổng của góc. Replace A by 15° and B by 75°. 참고로 sinx = cos (90-x)입니다. 참고로 sinx = cos (90-x)입니다. Maths Tricks. Split into two angles where the values of the six trigonometric functions are known.2588 + 0.2.FDP daolnwoD )2/3(√ = t ⇒ . Prove that cos 105° + cos 15° = sin 75° − sin 15°. Exact Form: √6 2 Decimal Form: 1.) Not the exact question you're looking for? Post any question and get expert help quickly. Value of sin 15 in fraction form = √3 - 1 2√2. What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including geometry, calculus, engineering, and physics, to solve problems involving angles, distances, and ratios. Use app Login. cos 15°. Write the expression as a single trigonometric function. ⇒ 1 + sin 30° = t 2. The right rope hangs from the right wall at an angle of 75 degrees from the wall. 1 2cos(45)+cos(30)sin(45) 1 2 cos ( 45) + cos ( 30) sin ( 45) sin(75) +sin(15) Solve Evaluate 1.2 √3 + 1/2 √2 . c o s 15 o.22474487139158904 View solution steps Factor 214⋅51717⋅29⋅137⋅509⋅445318127 = 1 125000000000000002809310892394864 ≈ 1.1. Example 11 Find the value of sin 15°.Find the value of sin75 ° + sin15 ° Solution: sin (75) + sin (15) = sin (45 + 30) + sin (45 - 30) We know that, sin (A + B) = sinA. sin 75°: Now using the formula for the sine of the sum of 2 angles, sin ( A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees. Now, sin75∘ sin15∘ = sin75∘ cos(90∘ −15∘) = sin75∘ cos75∘, = tan75∘ = tan(45∘ + 30∘), = tan45∘ +tan30∘ 1 − tan45∘tan30∘, = 1 + 1 √3 1 − 1 √3.. 7 B. Step 5. sin(60−45) sin ( 60 - 45) Use the difference formula for sine to simplify the expression.707. Given trigonometric ratio: sin 75 ∘ sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘ Trigonometry Find the Exact Value sin (75)cos (15) sin(75)cos(15) The exact value of sin(75) is √2 + √6 4. Step 4. See Answer.cos30 sin(75) + sin(15) Simplify each term. Iklan. Step 6.3em] sin 15^\circ & cos 15^\circ \\[0. 0. Find the exact value of the expression cos 75°cos 15° - sin 75°sin 15° Rewrite the expression using a sum or difference formula Choose the correct answer below. cos 15° = sin 75° = 입니다. cos 15° . sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. The sin of 15 degrees equals the y-coordinate (0. Solve your math problems … cos(90° - 75°) = cos 15°-cos(90° + 75°) = -cos 165° Sin 75 Degrees Using Unit Circle. Enter a problem Cooking Calculators.tpircsnarT … 4 / )2√ – 6√( = 51 nis nad 4 / )2√ + 6√( = 57 nis ialin nakitnaggnem nagneD . Simplify each term. See Table 1. O A cos 75° cos 15º - sin 75° sin 15º = cos (75° -15°) cos 60° B. sin(75)cos(15) + cos(75)sin(15) Sederhanakan setiap suku.224744871 Quiz Trigonometry sin(75)+sin(15) Share Copy Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθcosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix To find the value of sin 75 degrees using the unit circle: Rotate 'r' anticlockwise to form a 75° angle with the positive x-axis. Click here👆to get an answer to your question ️ Evaluate sin 15^∘sec 75^∘. 三角函数是基本初等函数之一,是以角度(数学上最常用弧度制,下同)为自变量,角度对应任意角终边与单位圆交点坐标或其比值为因变量的函数。. As we know that, sin x cos y + cos x sin y = sin (x + y) ∴ sin 75° cos 15° + cos 75° sin 15° = sin (75° + 15°) = sin 90°. Pisahkan negasi. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. The exact value of is . 입니다. TCS Numerical Ability Question Solution - Find the value of sin 75° + sin 15° = ? or. We have to convert the associative angle using other formulas to simplify it. 1. Untuk menghitung nilai sin 75 sin 15, kita perlu memahami terlebih dahulu tentang trigonometri dan bagaimana sinus dapat dihitung. High School Math Solutions – Trigonometry Calculator, Trig Equations.2k points) trigonometric functions View Solution. In this video, we solve another math challenge problem: sin 75 + sin 15. M. If possible, find this product's exact value.5 D. Find the Exact Value sin (15 degrees ) sin(15°) sin ( 15 °) Split 15 15 into two angles where the values of the six trigonometric functions are known. … Simultaneous equation. = 0. ⇒ cos 15° = cos 375° = cos 735°, and so on. Salah satu fungsi trigonometri yang penting adalah fungsi sinus (sin). Serial order wise.2588 (approx) sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°). 2、sin75°. Click here👆to get an answer to your question ️ Prove that sin 75^∘ - sin 15^∘ = cos 105^∘ + cos 15^∘ . Tap for more steps Step 1. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. Step 3. What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including geometry, calculus, engineering, and physics, to solve problems involving angles, distances, and ratios. A concise two-deep answer would be preferred, and other simplifications are also welcomed.sinB ⇒ sin (75) + sin (15) = (sin45. Separate negation. Let u + v 2 = α and u − v 2 = β. sin 15 degrees = (√6-√2)/4. sin 75° + sin Explanation: For cos 15 degrees, the angle 15° lies between 0° and 90° (First Quadrant ). jika kalian menemukan soal seperti ini maka cara penyelesaiannya kalian bisa menggunakan rumus trigonometri yaitu Sin a + b di sini bisa kita Tuliskan rumusnya seen as a + b itu bisa dijabarkan menjadi sinus cosinus B ditambah dengan cosinus a b, maka dari itu disini kita mempunyai 75 ada di sini sih Nas 75 itu bisa kita Ubah menjadi Sina 45 ditambah 30 Maka hasilnya menjadi 45 dikalikan You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Cos15 o - sin15 o =? Q. View More. Dalam menghitung 2 sin 75 sin 15, kita mentransformasikan sin 75 dan sin 15 menjadi ekspresi matematika yang lebih sederhana dan akurat. Maka rumusnya ialah 2 Sin setengah a + b dikali cos setengah A min b tersebut kita aplikasikan konsep tersebut kesal tadi pertama tulis dulu Sin 75 derajat Calculati sin 15° + sin 75° - 4066098.22474487… The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan).4. Jawaban terverifikasi. Jika diketahui x+y=270 maka . 아래는 삼각형의 덧셈정리 Click here👆to get an answer to your question ️ the value of sin 15circ is Kesimpulan. Use a sum or difference identity to find an exact value of cot(5π 12). Click here👆to get an answer to your question ️ Prove that 2sin 75^o sin 15^o = 12. 421 2 2 silver badges 14 14 bronze badges Trigonometry Examples. sin195∘ = sin(45∘ +150∘) = sin45∘cos150∘ + cos45∘sin150∘ $\cos 105° + \sin 75°= \cos 105° +\cos 15°= \cos(60+45)+\cos (60-45)$ Check from the above given formulas, and you should get the same answer. View Solution. Given trigonometric ratio: sin 75 ∘. To obtain 15 degrees in radian multiply 15° by π / 180° = 1/12 π. = 1/4 ( √6 + √2 ) Demikianlah contoh-contoh soal trigonometri dan pembahasannya. We know by formulas that sin(A+B) = sinA. Q 5., in EXACT form Values of sin 15, cos 15, tan 15. Cancel the common factor of 1 sin 15° cos 75° + cos 15 ° sin 75 ° =sin(15°+75°)=sin(90)=1.304811 sin(75)=-0. Tonton video. The exact value of is . Ekspresi sin 2x cos 2x ekuivalen dengan ekspresi . sin 75° + sin 15° = 2 sin 45° sin 30° O E. Parentheses will be used to create non-ambiguous expressions. Tap for more steps 1 1 Answer (Detailed Solution Below) Option 3 : √ (3/2) Free Tests View all Free tests > Free SSC CGL: Full Mock Test 4. Trigonometry. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. In a previous post, we learned about trig evaluation.414. Split into two angles where the values of the six trigonometric functions are known.9659) of unit circle and r. The exact value of is . so, = 4sin 45° cos 30° we know. 02:45. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 Terdapat soal sebagai berikut nilai dari sin 75 derajat + sin 15 derajat adalah untuk menyelesaikan soal tersebut kita gunakan konsep penjumlahan trigonometri yaitu jika ada sin a + sin b. can be obtained using. Apply the difference of angles identity. These ratios help us in finding angles and lengths of sides of a right triangle. Download Solution PDF. Standard XII.9659258. Step 2. Jawaban Nilai sin 75 sin 15. Share.sinB and, sin (A - B) = sinA. Jika anda membutuhkan rumus-rumus singkatnya, anda bisa Consider a equilateral triangle bisected: From this we see: #cos 60^@ = "adjacent"/"hypotenuse" = 1/2# #sin 30^@ = "opposite"/"hypotenuse" = 1/2# Find the Exact Value sin(15)cos(15) Step 1. Step 6. sin 45° = 1/√2. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge Sin15, Sin75, Cos15, Cos75, Sin18, Sin36, Sin54, Sin72, Cos18, Cos36, Cos54, Cos72 trigonometrik değerleri tablodadır (nedir).

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Now we got, from (2) sin 15° – cos 15°= -√(1 – sin 30°) … (4) Adding eq. The exact value of is . 4 În trei luni la teatrul ,,Luceafărul" s-au realizat 54 728 de bilete. 1、sin15°. Tap for more steps 0. Serial order wise. sin 75 cos 75 . Tentukan nilai dari 2sin 75cos 15. sin 75° = cos (15° + 75° ) = cos 90° = 0 [since cos (A + B) = cos A. matematykaszkolna. The SSC CGL Eligibility is a bachelor’s degree in the concerned discipline. 3.15.258819 sin(30)=0. În prima lună s-au realizat 21 936 bilete, iar în a doua lună de 3 ori mai puţ … Today's Puzzle. = (根号2+根号6)/4. Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) 03:25. The exact value of is . Step 6.cos 15° = t 2 Ahorra: 1,15 € (5 %) Los 21,75 € 21, 75 € Mientras otros cuerpos sin vida y vaciados de sangre aparecen en la ciudad, un equipo de rodaje graba un episodio para una nueva serie documental de Netflix y un senador preocupado por su reelección presiona al FBI para que resuelva la situación lo antes posible. Tonton video. Nilai eksak dari adalah .H. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45 Now the sum formula for the sine of two angles can be found: sin(α + β) = 12 13 × 4 5 +(− 5 13) × 3 5 or 48 65 − 15 65 sin(α + β) = 33 65 sin ( α + β) = 12 13 × 4 5 + ( − 5 13) × 3 5 or 48 65 − 15 65 sin ( α + β) = 33 65. Step 2. Calculate s i n 15 o. =sin45°cos30°-cos45°sin30°. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. sin 15° Multiply and divide by 2, we get = \(\dfrac 12\) 2. Start with the definition of cotangent as the inverse b. Iklan. Doubtnut is No.sin30) + (sin45.cosB+sinB. cos B - sinA . dxd (x − 5)(3x2 − 2) Integration. We know by formulas that sin(A+B) = sinA.866025 sin(75)=0. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Question Papers 1978.500000 sin(45)=0. 입니다. Apply the difference of angles identity. Nilai eksak dari adalah . cos 15° = cos ( 45° - 30° ) = cos 45 cos 30 + sin 45 sin 30. The value will be expressed as requested; i. Step 2. Ketuk untuk lebih banyak langkah Penjawab soal matematika gratis menjawab soal pekerjaan rumah aljabar, geometri, trigonometri, kalkulus, dan statistik dengan penjelasan langkah-demi-langkah, seperti Constitution of India MCQ Cost Accounting MCQ. Herdianira.. Recall that there are multiple angles that add or The value of Δ = ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣ is[2 marks] View Solution. sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) The exact value of sin(30) sin ( 30) is 1 2 1 2. sin 75° + sin 15° = 2 cos 45° sin 30° OF. We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. Rewrite given expression as a sum or difference, then simplify if possible. 也可以 Answer: sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° = 2. or, sin 15° – cos 15° = – √2/2. Follow answered Jun 16, 2021 at 13:46. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. . What is trigonometry used for? Trigonometry is used in a variety of fields and … In this comprehensive trigonometry tutorial, we delve into the world of compound angles and demonstrate how to calculate the values of sin (75) and sin (15) … sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2. Sudut A dan sudut B Nilai dari sin 255 adalah .22 sin(75°) - sin(15°) ≈ 0. Note: we can also convert $\sin 15$ into $\cos 75$. Here is an example of using a sum identity: Find #sin15^@#. 2 * (0. 2. =sin (45°-30°). Given: Expression = sin75° + cos15° Concepts used: sin (A + B) = sinA cosB + cosA sinB Calculation: ⇒ sin75° + cos15° = sin75° +.2 Systems of Linear Equations: Three Variables; 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables; 9. Since cosine function is positive in the first quadrant, thus cos 15° value = (√6 + √2)/4 or 0. Split into two angles where the values of the six trigonometric functions are known.3, 5 (ii) → Ask a doubt. oblicz sin75°.988032 sin(45)=0. sin 75° + sin 15° = 2 cos 90° sin 60° O c. Salah satu fungsi trigonometri yang penting adalah fungsi sinus (sin). $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to … Sin 15 degrees is the value of sine trigonometric function for an angle equal to 15 degrees. One is longer, but the Sqrt's are nested only two deep; one is more concise but the Sqrt's are three deep. I want this answer: SINE TABLE : sin(0)=0. Step 7. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. sin B] The sum-to-product formulas allow us to express sums of sine or cosine as products.1 Systems of Linear Equations: Two Variables; 9. O A. Important Solutions 7569.000000 sin(15)=0. Prove the identity. View Solution. 3rb+ 1.sin30) = 2sin45. To find the value of sin 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a … The value of sin 15 degrees in decimal is 0.4 2√ + 6√ si )51(soc fo eulav tcaxe ehT )51(soc 4 6√ + 2√ spets erom rof paT . Step 4. sin 15° Multiply and divide by 2, we get = 1 2 2. Evaluate ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. For example, with a few substitutions, we can derive the sum-to-product identity for sine. cos 75 + cos 15 sin 75 cos Using fundamental theorem of determinant, ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0, [using sum to product formula] Find: sin 75 deg Answer: sin 75 = +- sqrt(2 + sqrt3)/2 Call sin 75 = sin t --> cos 150 = cos 2t On the trig unit circle, cos (150) = cos (180 - 30) = - cos 30 View Solution. 와. Tentukan Nilai yang Tepat sin(15 derajat ) Step 1. cos50 ∘ cos5 ∘ + sin50 ∘ sin5 ∘ = cos(50 ∘ − 5 ∘) = cos45 ∘ = √2 2. Tap for more steps 2 +√3 4 + 2−√3 4 2 + 3 4 + 2 - 3 4 Simplify terms. Find the EXACT value of sin(15°) using a sum or difference formula.16. Differentiation. Example 4. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.cosB + cosA. View Solution. The whole trigonometric functions and formulas are designed based on three primary ratios. If we can find (think of) two angles #A# and #B# whose sum or whose difference is 15, and whose sine and cosine we know. cos ( α + β ) = cos α cos β − sin α Sa se calculeze: A)sin 75; - 612819.25881. 150∘ = 5 × 30∘ and sin150∘ = 1 2 and cos150∘ = − √3 2. Step 5. Answer: Using the values of $\sin 75$ and $\cos 75$ we can compute the value of the product $\sin 75 \cos 75. Transcript. Ketuk untuk lebih banyak langkah √2 + √6 4 + √6 - √2 4.$ As we know from above that sin 75 = (√3+1)/2√2 and cos 75 = (√3-1)/2√2, so we get that . Trigonometry .
 Also there can be many ways to find out the values
. so, =4×1/√2 × √ cos (A + B) = cos A cos B - sin A sin B. MCQ Online Mock Tests 43. Tap for more steps Step 1. Step 3. Introduction to Systems of Equations and Inequalities; 9. sin (90° + x) - sin (90° — 2) = 0. 1 2cos(45)+cos(30)sin(45) 1 2 cos ( 45) + cos ( 30) sin ( 45) The exact Find the value of given trigonometric ratio. = 1/4 √6 + 1/4 √2.707107 sin(60)=0. Textbook Solutions 24549. . Evaluate: cos 15 ° sin 15 ° sin 75 ° cos 75 ° Q. Hasilnya dapat ditampilkan dalam beberapa bentuk. ∴ sin 15° = (√3−1)/2√2. Find the Exact Value sin(75)cos(15) Step 1.cosB+sinB. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. Maka rumusnya … \sin (75)\cos (15) en. The exact value of is . Tonton video. Click here:point_up_2:to get an answer to your question :writing_hand:find the answer sec 2 10 cot 2 80cfrac sin 15 cos. … The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. Trig Functions are FUNCTIONS and proper functional notation should always be used.650288 sin(30)=-0.1. Hence the value of sin 75° = y = 0. Domain and Range of Trigonometric Ratios. Step 5. Note: We could also find the sine of 15 degrees using sine (45° − 30°). Recall that formula: sin(x + y) = sinxcosy +cosxsiny. Combine fractions. sin (75°) cos (159) + cos (75°) sin (15°) sin (75°) cos (15°) + cos (75°) sin (15°) = | (Type an exact answer, using radicals as needed. =1/2 x 根号2/2 +根号3/2 x 根号2/2. Tap for more steps 1 4 - 1 4. In this comprehensive trigonometry tutorial, we delve into the world of compound angles and demonstrate how to calculate the values of sin(75) and sin(15) us Ask Question Asked 9 years ago Modified 9 years ago Viewed 2k times 3 Steps I took: 1) Finding the value of the left hand side sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2 sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2 So, sin45 + sin15 = √2 + √2 − √3 2 2) Rewriting sin75 Split 75 75 into two angles where the values of the six trigonometric functions are known.pl. These ratios are Sine, cosine, and tangent in trigonometry. Then, Evaluate the following and justify your answer. Show transcribed image text. 0. cos 15° We know that sin 2θ = 2 sin θ cos θ = 1 2 × sin 2 (15°) = 1 2 × sin (30°) = 1 2 × 1 2 = 1 4 Values of Sin 15, cos 15 ,tan 15 ,sin 75, cos 75 ,tan 75 of degrees can be easily find out using the trigonometric identities. Step 1.2588) of unit circle and r. 참고로 sinx = cos(90-x)입니다. 8 C. View Solution. sin 15° = cos 75° =. Related Symbolab blog posts. Use integers or fractions for any numbers in the expression. cos(75)cos(15) - sin(75)sin(15) Simplify each term. ⇒ sin 2 15° + cos 2 15° + 2sin 15°. Step 8.3. 7 B. I don't know how to combine trigonometric ratios to equivalencies. So, sin 15° – cos 15° < 0. Determine the sign using the half angle: Positive (+) if the half angle lies on the 1st or 2nd quadrants; or. Jawaban Nilai sin 75 sin 15.Previous video in this series: video in this series: Once you know the general form of the sum and difference identities then you will recognize this as cosine of a difference. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following determinants beginvmatrix cos15circ sin15circ sin75circ. Solve. In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. cos (-x)=cos x. To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. Prize & Rules. . Tap for more steps Multiply √6−√2 4 ⋅ π 180 6 - 2 4 ⋅ π 180. Expand Using Sum/Difference Formulas sin (15) sin(15) sin ( 15) First, split the angle into two angles where the values of the six trigonometric functions are known.2588, 0. Step 5.). Walkins. Understand methods to find the value of sin 15 degrees with examples and FAQs. Note: we can also convert $\sin 15$ into $\cos 75$. The exact value of is . 3.2. #sin(A-B)=sinAcosB-cosAsinB# We might notice that #75-60=15# so #sin15^@=sin(75^@-60^@)=sin75^@cos60^@-cos75^@sin60^@#. The exact value of is . Pull terms out from under the radical. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. Question 3: Find the value of sin(120°) Solution: We can write 120° as (180° - 60°), So, sin(120°) = sin(180° - 60°) ⇒ sin 15° + sin 75° = sin 15° + cos 15° = t.000000 sin(15)=0. Q 5. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity.1. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of … The value of the expression $2{{\left( \sin 15+\sin 75 \right)}^{2}}$ is 3. \sec ^2 \theta-\tan ^2 \theta=1 sec2θ−tan2θ = 1. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30) 解答过程如下:.258819045. a si tu cu transformarea sumei in produsgasesti formula pe neteu n-am invatat-o niciodata si am promovat bine mersinu o sa itidea la BAC asa cevasau faci cu sin (45-30)+sin(45+30) astase face mai usor si dac ar trebuisa o fac far acces la formule , pe calea asta as merge Sin15, Sin75, Cos15, Cos75, Sin18, Sin36, Sin54, Sin72, Cos18, Cos36, Cos54, Cos72 trigonometrik değerleri tablodadır (nedir). . The value of cos15∘ +sin15∘ cos15∘ −sin15∘ is.3. View Solution. Example 3 Find , and , if , and and are the first quadrant angles. 7 Min.cosB + cosA. Bagi menjadi dua sudut di mana nilai dari enam fungsi trigonometrinya diketahui. Example 3: Find the value of 5 sin(15°)/7 cos(75°). Question: 3. =sin (30°+45°). Step 5. If you want sine 15° with higher accuracy, then use the Here, we have to find the value of sin 75° cos 15° + cos 75° sin 15°. The left rope hangs from the left wall at 50 degrees from the wall. sa etirweR . Chapter 3 Class 11 Trigonometric Functions.

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nilai sin 15° + sin 75° per cos 15° - cos 105° adalah. sin75 = sin(45 + 30) = … Split 75 75 into two angles where the values of the six trigonometric functions are known.732 and √2 = 1. {8x + 2y = 46 7x + 3y = 47. 17 mar 12:14. Here, we have to find the value of cos 75° cos 15° - sin 75° sin 15°. oblicz sin75° sellinka: Posługując sie wzorem sin (α +β)= sinαα ×cosβ + cosα × sinβ oblicz sin 75 stopni. Tap for more steps √2 + √6 4 ⋅ √6 + √2 4 Multiply √2 + √6 4 ⋅ √6 + √2 4. 15 +180 will work, if you know sin15. Figure 2 The Unit Circle.9659 (approx). Ketuk untuk lebih banyak langkah √6 2. T 1,T 2, and T 3 are the (positive) magnitudes of the tension force in each string. Sederhanakan suku-suku. Separate negation. Find the Exact Value sin(15) Step 1. 12 Maret 2022 07:33. . Download Solution PDF. Using the trigonometric identity, cos 90° = 0 Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ .9659) of the point of intersection (0. cos 15° = sin 75° =. 01:58.2588, 0. Find the exact value of sin15∘ sin 15 ∘. Tonton video. Example 11 Find the value of sin 15°.9659, 0. Tap for more steps (√2 + √6)(√6 + √2) 16 Here is another Method to prove the Result : Observe that the Exp. Important Solutions 1004.sinB .54soc - 03soc. sin 15° = 1 2 2. What is value of expression 2(sin 15º+sin 75°)? Solution:--we know that. Step-by-step explanation: Given : Sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° To Find : The value of Sin^2 15° + sin^2 30° + sin^2 45° +sin^2 60° +sin^2 75° Solution : We know that, sin²a + sin²b = 1, where a + b = 90°. Let's see how we can do that step by step.enilpicsid denrecnoc eht ni eerged s'rolehcab a si ytilibigilE LGC CSS ehT . I got 2 * (sin 15 + sin 75) 2 . Evaluate the following and justify your answer. Question. It is important that topic is mastered before continuing Read More. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. Syllabus.9659 (approx) To find the value of sin 15 degrees using the unit circle: Rotate 'r' anticlockwise to form a 15° angle with the positive x-axis.9659) 2 This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). cos 75° cos 15" - sin 75°sin 15sin (750 - 159) sin 60° OC, cos 75 Another way to solve the Example 2 is to note that 15° = 90° - 75° and then to apply the formulas for the complementary angle and to use results of the Example 1: cos(15°) = sin(75°) = , sin(15°) = cos(75°) = , tan(15°) = cot(75°) = 1/tan(75°) = . sin 15° = cos 15°. Terapkan identitas beda sudut. Join BYJU'S Learning Program. Karnataka Board PUC PUC Science 2nd PUC Class 12. Những bài toán phổ biến. Expert-verified. Sum formula for cosine.5. The value of the expression $2{{\left( \sin 15+\sin 75 \right)}^{2}}$ is 3. 8sin15cos15 b. Find the answer sec 2 10 − cot 2 80 + sin 15.2588 + 0. The Tier-1 Examination was conducted from 14th July 2023 to 27th July 2023. I got 2 * (sin 15 + sin 75) 2 . sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) The exact value of sin(30) sin ( 30) is 1 2 1 2. To find the value of sin 75 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 75° angle with the positive x-axis. You can obtain the values from a table and then work out the arithmetic.71 How to solve Using angle sum and difference identities, we can calc… cos(15)cos(75) - sin(15)sin(75) Simplify each term. ⇒ sin(15°) = cos(75°) sin 15° = cos 75° =.cosA 2(sin 15+ sin 75)^2 . In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. Similar Questions. Apply the difference of angles identity.8 Solving Systems with Cramer's Rule Trigonometri Contoh. Split into two angles where the values of the six trigonometric functions are known. Co-ordinate geometry. Now, let A = 30 ° then, A 2 = 30 ° 2 = 15 ° and from the above equation we get, sin 15 ∘ + cos 15 ∘ = ± 1 + sin 30 ∘ Similarly, for all values of the angle A , sin A 2 - cos A 2 2 = sin 2 A 2 + cos 2 A 2 - 2 sin A 2 cos A 2 = 1 - sin ( 2 × A 2 ) [ ∵ sin 2 θ + cos 2 θ = 1 a n d sin 2 θ = 2 sin θ c o s θ ] = 1 - sin A Write the given expression as a single trigonometric function. MCQ Online Mock Tests 22. 9. 1) A mass of m=10−kg hangs by the combination of ropes shown in the figure.2k points) trigonometric functions View Solution. To calculate the sine of a half angle sin (x/2), follow these short steps: Write down the angle x and replace it within the sine of half angle formula: sin (x/2) = ± √ [ (1 - cos x)/2].850904 sin(60)=-0. If we divide the numerator of the value of sin 15 in fractional form with its denominator we will get a decimal number. The sin of 75 degrees equals the y-coordinate (0. Guides. $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). Expanding the determinant, we get . The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Бесплатное решение математических задач с поэтапными пояснениями поможет с домашними заданиями по алгебре, геометрии, тригонометрии, математическому анализу и статистике подобно репетитору по математике..9659) 2 This video works to determine the exact value for the sine of 15 degrees in two different ways: using the difference formula for sine and using the half-angl The values of the given problems are: sin(75°) + sin(15°) ≈ 1. As we know that, cos x cos y - sin x sin y = cos (x + y) ∴ cos 75° cos 15° - sin 75° sin 15° = cos (75° + 15°) = cos 90°. Chapter 3 Class 11 Trigonometric Functions. Step 8. Question: Find the value of sin 75 cos 75. In this solution the following will be strictly adhered to: 1. Sin 15degrees = sin (1/12 × π).9659) of the point of intersection (0. Step 7. We would like to show you a description here but the site won't allow us. Lets explore few ways Value of sin 15 degrees Method 1 ( using sin 30) Solution Find the value of given trigonometric ratio. sin 15° = cos 75° = 와 . sin75-cos75=sin75-sin15=2cos (75+15)/2sin (75-15)/2=2cos45sin30=√2/2. The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). Diketahui cos A=5/3 dan cos B=13/12. SINE TABLE : sin(0)=0. Separate negation.5 D. Ask Unlimited Doubts; Video Solutions in multiple languages (including Hindi) Video Lectures by Experts; Free PDFs (Previous Year Papers, Book Solutions, and many more) Attend Special Counselling Seminars for IIT-JEE, NEET and Board Exams; Login +91. 2cos^2 (15)-1. trigonometry. Subham Karmakar Subham Karmakar. This year, SSC completely changed … Calculati sin 15° + sin 75° - 4066098. MH. We know that √3 = 1. \sin 8 x \cos 7 x-\cos 8 x \sin 7 x sin8xcos7x−cos8xsin7x. cos (15° + 75°) = cos 15° cos 75° - sin 15° cos 75° ⇒ cos 90° = cos 15° cos 75° - sin 15° cos 75° So, substituting it, we get. Start Test. These formulas can be derived from the product-to-sum identities. on the L. Now write it in the reverse direction: Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step The value of sin 15° will be positive because 15° lies in the first quadrant. sin 15° = sin (45° – 30°) = sin 45° cos 30° – cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ( (√3 − 1)/2) = (√𝟑 − 𝟏)/ (𝟐√𝟐) Next: Example 12 → Ask a doubt. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. sin 75° + sin 15° = 2 sin 45° cos 30° OD. Step 4. cos 15° cos 75° - sin 15° sin 75° 4. Click here:point_up_2:to get an answer to your question :writing_hand:12 what is value of expression 2 left sin 15 circ.cosB – cosA. Tap for more steps Step 1. Sin 15 degrees can also be expressed using the equivalent of the given angle (15 degrees) in radians (0. We now find the sine of 36°, by first finding the cos of 36°. Split into two angles where … The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). sin(45−30) sin ( 45 - 30) Separate negation. I don't know how to combine trigonometric ratios to equivalencies. Squaring on both sides, we get. … sin 2θ = 2 sin θ cos θ . (sin75度+cos75度)/ (sin75度-cos75度)=√6/2 / √2/2=√3. Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin SSC CGL Result Out on 6th December 2023. (i) sin215 +sin275 cos236 +cos254. sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B. sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2. The sin of 15 degrees is (√6-√2)/4, the same as sin of 15 degrees in radians.1. sin 15° = sin (45° - 30°) = sin 45° cos 30° - cos 45° sin 30° = 1/√2 × √3/2 −1/√2 × 1/2 = 1/√2 ( (√3 − 1)/2) = (√𝟑 − 𝟏)/ (𝟐√𝟐) Next: Example 12 → Ask a doubt.5 Matrices and Matrix Operations; 9. Nilai dari 2sin 67,5cos 67,5=. Nilai dari cos 75 cos 15-sin 75 sin 15 adalah . Untuk menghitung nilai sin 75 sin 15, kita perlu memahami terlebih dahulu tentang trigonometri dan bagaimana sinus dapat dihitung. .cos 15° = t 2. ∫ 01 xe−x2dx. x→−3lim x2 + 2x − 3x2 − 9. = 1/2 √2 . Formula used : (i) cos(A + B) = cos A cos B - sin A sin B. 17 mar 12:16. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. Prove that the given identity is true. 2 * (0. ⇒ sin(75) + sin(15) = … Find the Exact Value sin(75)+sin(15) Step 1. The sin of 75 degrees equals the y-coordinate (0. Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember Surabaya. Click a picture with our app and get instant verified solutions. Concept Notes & Videos 720. Tap for more steps √2 + √6 4 + √6 - √2 4 Simplify terms. 와. Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat. Placement Papers. You can obtain the values from a table and then work out the arithmetic. Ketuk untuk lebih banyak langkah Sederhanakan suku-suku. Question: Express the sum as a product. Shortcuts & Tips. 8 C. sin 75° + sin 15° Choose the correct answer below. But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. Terdapat soal sebagai berikut nilai dari sin 75 derajat + sin 15 derajat adalah untuk menyelesaikan soal tersebut kita gunakan konsep penjumlahan trigonometri yaitu jika ada sin a + sin b. The exact value of is .sinB and, sin(A – B) = sinA. . Mathematics. Join / Login. cos 75° - sin 15° .S. Nah untuk yang seperti ini itu ada komosta Sendirinya lagi sin a ditambah B = Sin a * cos B + cos a * sin B pertama-tama kita cari Sin 5 + 35 dulu karena telah kita dapat sin75 ini baru kita bisa masukkan ke sini karena untuk sudah sampai 5 derajat Jika ini kita pecah lagi dia itu jadi 3 jadi 45 + 90 Tapi ngomongnya itu hanya seperti ini maka Get the Free Answr app. Concept Notes & Videos 386 Syllabus. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘.∘51nis ∘57nis no odnedivid-odnenopmoc . sin 15°. We have to convert the associative angle using other formulas to simplify it.893997 but this table is wrong when I checked it with the standard table. cos ( α + β ) = cos α cos β − sin α sin β. Tìm Giá Trị Chính Xác sin (75 độ ) sin(75°) sin ( 75 °) Chia 75 75 thành hai góc trong đó các giá trị của sáu hàm lượng giác cơ bản đã biết. … Split 75 75 into two angles where the values of the six trigonometric functions are known. Dengan menggantikan nilai sin 75 = (√6 + √2) / 4 dan sin 15 = (√6 - √2) / 4 ke dalam Transcript. cos 15° = sin 75° =. Q 5. Stay updated with the Mathematics questions & answers with Testbook. Agriculture MCQ Statistics MCQ. =(根号6-根号2)/4. Hence the value of sin 15° = y = 0. Add and . 20 Ques. Tap for more steps Combine fractions. 45 +150 -- I note that 150 is divisible by 30, so I should know the sine and cosine of 150∘. Step 6. BUT we don't know sine and cosine of #75^@#.7 Solving Systems with Inverses; 9. Dalam trigonometri, sin 75 dan sin 15 adalah nilai sinus dari sudut 75 derajat dan 15 derajat. cos 15°. Step 7. Tap for more steps Step 1. But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. We will substitute the values of √3 and √2 in the above fraction.1. Step 5. ⇒ sin75∘ sin15 Maths Math Article Value Of Sin 15 Value of sin 15 Value of sine 15 degrees can be evaluated easily. sin(75°) = (√(3)+1) / (2√2) And, cos(75°) = cos(45° + 30°) We also have a compound angle formula for cosine function, Thus, sin(15°) = 0. Step 3. Step 1. The exact value of is . More. Time Tables 20. 17 mar 13:12.2. In this case, 15 15 can be split into 60 −45 60 - 45.6 Solving Systems with Gaussian Elimination; 9. Solution: Using trigonometric identities, we know, sin(15°) = cos(90° - 15°) = cos 75°.cosB - cosA. View Solution. Calculation: Given: sin 15° sin 75° = sin 75° sin 15° = sin (90° - 15°).9659) of unit circle and r.cosA 2(sin 15+ sin 75)^2 . . Add and .e.