Lớp 11. Class 11 MATHS TRIGONOMETRIC FUNCTIONS. 1) A mass of m=10−kg hangs by the combination of ropes shown in the figure.
cos30 Solution | cos 15 ∘ sin 15 ∘ sin 75 ∘ cos 75 ∘ | = cos 15 ∘ cos 75 ∘ − sin 15 ∘ sin 75 ∘ = cos ( 15 ∘ + 75 ∘) [ ∵ cos A cos B − sin A sin B = cos ( A + B)] = cos 90 ∘ = 0 ⇒ | cos 15 ∘ sin 15 ∘ sin 75 ∘ cos 75 ∘ | = 0\] Concept: Applications of Determinants and Matrices Is there an error in this question or solution? Q 43 Q 42 Q 44 Solution Verified by Toppr Using fundamental theorem of determinant, ∣∣ ∣cos15o sin15o sin75o cos75o∣∣ ∣ =cos15ocos75o −sin150sin75o = cos(75o+15o) =cos90o =0, [using sum to product formula] We have used the Fundamental theorem of determinant is ∣∣ ∣a b c d∣∣ ∣ =ad −bc Was this answer helpful? 3 Similar Questions Q 1 Evaluate lim x→0(32x−1 23x−1) Solution Verified by Toppr Was this answer helpful? 0 0 Similar questions Prove that sin105 ∘+cos105 ∘=cos45 ∘. . Упростим каждый член.B °09 nis = )51 + *57(nis= *51 nis*57 soc + "51 soc 57 nis . Evaluate: cos 15 ° sin 15 ° sin 75 ° cos 75 ° Q. Tap for more steps √2 + √6 4 cos(15) The exact value of cos(15) is √6 + √2 4. . Chapter 3 Class 11 Trigonometric Functions. 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. Precalculus. Find MCQs & Mock Test. sin 15 ° cos 75 ° + cos 15 ° sin 75 ° tan 5 ° tan 30 ° tan 35 ° tan 55 ° tan 85 ° Q. cos(150) cos ( 150) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. JEE Main 2024 Test Series Simplify: sin 15° sin 75° + cos 75° cos 15° - YouTube join our group for asking your maths doubt pls click below link sin 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.9659 (approx) The value of (cos 75 ∘ − cos 15 ∘) 2 + (sin 75 ∘ − sin 15 ∘) 2 is Q. The exact value of cos(45) cos ( 45) is √2 2 2 2. Ketuk untuk lebih banyak langkah √2 + √6 4 + √6 - √2 4. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 Step by step video, text & image solution for Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. sin(75)cos(15) + cos(75)sin(15) Sederhanakan setiap suku. cos 75° cos 15" - sin 75°sin 15sin (750 - 159) sin 60° OC, cos 75 cos 15° . cos 15° = sin 75° =.sin(75)cos(15) The exact value of sin(75) is √2 + √6 4. `(sin 75^(@) -sin 15^(@))/(cos 75^(@) +cos 15^(@) ) =(1)/(sqrt(3))` sin15°の求め方の解説です。 $\sin 15^{\circ}$ 求め方1 $15^{\circ}$と$75^{\circ}$の三角形ABCにおいてACを$a$とおく。 Click here 👆 to get an answer to your question ️ sin75°-sin 15°\cos75°+cos15° Ikut Bimbel online CoLearn mulai 95. Serial order wise. sin B] ← Prev Question Next Question →. View More. sin 75-sin 45. Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. tan720 ∘−cos270 ∘−sin150 ∘cos120 ∘= 41 ii. Math notebooks have been around for hundreds of years. trigonometry. NCERT Solutions. (3) and (4) we get, 2 sin 15° = √(1 + ½) - √(1 - ½) 2 sin 15° = (√3−1)/√2. Explanation: The expression you provided, (cos 45°)(cos 30°) − (sin 45°)(sin 30°), can be rewritten using the identity of the View Solution. Ketuk untuk lebih banyak langkah √6 2. Method 2: Another method to find the value of sin 15 degrees is given below. MCQ Online Mock Tests 22. dash06drj is waiting for your help. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘. Terapkan identitas penjumlahan sudut-sudut. sin 30 sin 15 - cos 30 cos 15 Hallo Bobarius, kakak bantu jawab yah :) a. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다.id yuk latihan soal ini!sin 75 cos 15 + cos 75 s 75 languages. cos 75° - sin 15° . MCQ Online Mock Tests 43. . = 0. Jika diketahui bahwa cos 1/2 theta=akar ( (x+1)/2x), operas Tentukan nilai dari sin 105+sin 15. It is important that topic is mastered before continuing 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. . Important Solutions 7569.a : irad kaske ialin halgnutih ,rotaluklak nakanuggnem apnaT . View Solution. We know by formulas that sin(A+B) = sinA. Now, if in the reverse direction of that formula, we let: x = 15∘ and y = 75∘; we get: sin15∘cos75∘ + cos15∘sin75∘ = sin(15∘ + … What is the value of sin(75)cos(15)+cos(75)sin(15) ? The value of sin(75)cos(15)+cos(75)sin(15) is 1 \displaystyle{4}{\sin{{\left({21}^{\circ}\right)}}}{\cos{{\left({21}^{\circ}\right)}}}={2}{\sin{{\left({42}^{\circ}\right)}}}\approx{1. Textbook Solutions 13653. Untuk menyelesaikan soal ini kita menggunakan rumus: sin A cos B = 1/2 [sin (A+B) + sin (A-B)] Diketahui: sin 90° Pembahasan: sin 75° cos 15°= 1/2 [sin (75°+15°) + sin (75°-15°)] =1/2 [ sin 90°+ sin 60°] =1/2 [ 1 + ( (akar 3)/2)] =1/2 + ( (akar 3)/4) = (2+ (akar 3))/4 Jadi, nilai dari 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°) = .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. Step 6. Agriculture MCQ Statistics MCQ. CBSE Science (English Medium) Class 12. Q 4.sin30) + (sin45. Tap for more steps Trigonometry Examples Popular Problems Trigonometry Simplify cos (15)cos (75)-sin (15)sin (75) cos(15)cos(75) - sin(15)sin(75) Simplify each term. Apply the sum of angles identity cos(x+y) = cos(x)cos(y)−sin(x)sin(y) cos ( x + y) = cos ( x) cos ( y) - sin ( x) sin ( y).3, 5 (ii) → Ask a doubt. see below cos 15^@=cos(45^@-30^@) =cos45^@cos30^@+sin45^@sin30^@ =sqrt2/2* sqrt3/2+sqrt2/2 *1/2 =sqrt6/4+sqrt2/4 =(sqrt6+sqrt2)/4 How do you use the sum and difference identities to find the exact value of cos 75? How do you evaluate #sin(45)cos(15)+cos(45)sin(15)#? \sin (75)\cos (15) en. Courses for Kids. 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. But the best way is to solve this graphically. Download Solution PDF. Question: Solve for the value of A. Serial order wise. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Calculate s i n 15 o. Spinning The Unit Circle (Evaluating Trig Functions ) If you've ever taken a ferris wheel ride then you know about periodic motion, you go up and down over and over Read More. 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. jika kita melihat soal seperti ini maka bisa kita gunakan rumus trigonometri cos Alfa ditambah cos Beta = 2 cos setengah dikali alfa + beta dikali cos setengah dikali Alfa Min beta dan juga kita gunakan rumus trigonometri Sin Alfa dikurang Sin beta yaitu 2 cos setengah dikali alfa + beta dikali Sin setengah Alfa Min beta disini kita punya soal cos 75 … Constitution of India MCQ Cost Accounting MCQ. cos B - sinA . Given: Expression = sin75° + cos15° Concepts used: sin (A + B) = sinA cosB + cosA sinB Calculation: ⇒ sin75° + cos15° = sin75° +.
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3em] sin 15^\circ & cos 15^\circ \\[0. Chapter 3 Class 11 Trigonometric Functions.2. Tap for more steps 1 4 - 1 4 Combine fractions. \sec ^2 \theta-\tan ^2 \theta=1 sec2θ−tan2θ = 1. $\sin 15^{\circ}=\dfrac{\sqrt{6}-\sqrt{2}}{4}$ $\cos 15 sin15度とcos15度は三角形の相似に着目して計算することができます。 tan15度は直角三角形と角の二等分線定理を使って図形的に計算できます。 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] Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . Tentukan nilai dari soal-soal berikut. report flag outlined. We … It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. Solve. Нажмите для увеличения количества этапов Точное значение : . Choose the correct answer below. You write down problems, solutions and notes to go back Read More.soc 51 nis carfc08 2 toc 01 2 ces rewsna eht dnif:dnah_gnitirw: noitseuq ruoy ot rewsna na teg ot:2_pu_tniop:ereh kcilC . 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。. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Tentukan Nilai yang Tepat sin (75)+sin (15) sin(75) + sin(15) Sederhanakan setiap suku.3em] sin 15^\circ & cos 15^\circ \\[0. Ex 3. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. Transcript.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°) Find the value of given trigonometric ratio.000/bulan.5 D. Follow answered Jun 16, 2021 at 13:46.2588) of unit circle and r.2. . Anarâškielâ The following table lists the sines, cosines, and tangents of multiples of 15 degrees from 0 to 90 degrees. Use app Login. Mathematics. So this won't get us the answer. Given trigonometric ratio: sin 75 ∘. soal2. = 1. (sin75度+cos75度)/ (sin75度-cos75度)=√6/2 / √2/2=√3.com.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°) Find the value of given trigonometric ratio. In these definitions, the terms opposite, adjacent, and hypotenuse refer to the $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). Không dùng máy tính, tính giá trị của các biểu thức: A = cos 75° cos 15°; B = sin 5π 12 cos 7π 12 sin 5 π 12 cos 7 π 12. . < Trigonometry. 8 C. \sin (75)\cos (15) en.2588 (approx) Trigonometry Examples. Hence the value of cos 15° = x = 0. Replace A by 15° and B by 75°. Related Symbolab blog posts. sin 75° = cos (15° + 75° ) = cos 90° = 0 [since cos (A + B) = cos A. So, sin 15° cos 15° = (1/2) sin (2*15°) = (1/2)sin 30° Q. Find the exact value of the expression. Concept Notes & Videos 386 Syllabus. the expression is equivalent to the cosine of the difference of two angles identity, rewriting as cos(45°-30°) or cos 15°.0[\\cric\^51 nis & cric\^51 soc }xirtamv{nigeb\(\ evah eW . Упростить sin(15)cos(75)+cos(15)sin(75) Step 1. El valor exacto de es . 8rb+. The value of Δ = ∣ ∣ ∣ cos 15 ∘ sin 15 ∘ sin 75 ∘ cos 75 ∘ ∣ ∣ ∣ is Sederhanakan sin(75)cos(15) Step 1. 「 1 5 ∘ 15^{\circ} 1 5 ∘ , 7 5 ∘ 75^{\circ} 7 5 半角の公式より cos 3 0 ∘ = 1 − 2 sin 2 1 5 ∘ \cos 30^{\circ} = 1 - 2 \sin^2 15^{\circ} cos 3 0 Nyatakan 2 cos 75° cos 15° ke dalam bentuk jumlah atau selisih, kemudian tentukan hasilnya. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following determinants beginvmatrix cos15circ sin15circ sin75circ. sin(30+45) sin ( 30 + 45) Apply the sum of angles identity. For example, with a few substitutions, we can derive the sum-to-product identity for sine. Also there can be many ways to find out the values. A sin (15) - B cos (60) = 0 A cos (30)-B sin (75) + 50 = 0. 3 cos 105° cos 15°. 05/07/2023 1,500. simplify\:\frac{\sin^4(x)-\cos^4(x)}{\sin^2(x)-\cos^2(x)} simplify\:\frac{\sec(x)\sin^2(x)}{1+\sec(x)} \sin (x)+\sin (\frac{x}{2})=0,\:0\le \:x\le \:2\pi. Hence the value of sin 15° = y = 0.2. These are defined for acute angle A below: adjacent opposite hypotenuse sin ( A) = opposite hypotenuse cos ( A) = adjacent hypotenuse tan ( A) = opposite adjacent A B C. We have to convert the associative angle using other formulas to simplify it. Concept Notes & Videos 720. Tap for more steps 1 It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. Because Sin A and Cos A graphs are jika dapat pertanyaan seperti ini ada 1 rumus yang kita gunakan untuk menyelesaikannya rumus itu adalah 2 Sin a * cos B = Sin a ditambah B ditambah dengan Sin a + b sekarang tidak subtitusikan 75 derajat dengan A dan 15 derajat dengan b dalam pertanyaannya tidak akan dapat 2 Sin a * cos b c lihat dia sama dengan rumus yang saya sudah berikan maka akan = Sin a + b = Sin a + b kita subtitusikan Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan). The values of sine and cosine of 30, 45, and 60 degrees are derived by analysis of the 30-60-90 and 90-45-45 triangles. Tap for more steps 1 4 - 1 4 Combine fractions. soal2. Related Symbolab blog posts. 입니다. To properly use the above identities, we should think of two numbers a and b that are easy identities for us to use. Sin 75⁰ cos 15⁰ Rumus yang kita gunakan yaitu : 2 sinA cos B = sin(A+B) + sin(A-B) Sehingga, Sin 75⁰ cos 15⁰ = ½ (sin(75+15) + sin(75-15) = ½ (sin 90 + sin 60) = ½ (1 + ½*akar(3)) = ½ + ¼*akar(3) Jadi, sin 75° cos 15° = ½ + ¼*akar(3) b.cos30 - cos45.2. Rewrite given expression as a sum or difference, then simplify if possible. Prove that cos 105° + cos 15° = sin 75° − sin 15°. jika mendapat soal seperti ini maka penyelesaiannya adalah disini terdapat soal nilai dari sin 75 derajat cos 15 derajat adalah kita bisa menggunakan rumus untuk 2 Sin a cos B bentuknya akan menjadi a + b + Sin a kurang bSelanjutnya kita lihat pada soal bentuk soal ini adalah hanya Sin a cos b maka dapat kita ubah bentuknya menjadi setengah Sin a + … join our group for asking your maths doubt pls click below link sin 15° sin 75° + cos 75° cos 15 Jawab: Penjelasan dengan langkah-langkah: soal1. Simplify cos (75)^2-sin (75)^2. sin 75 cos 15 – cos 75 sin 15 = = sin(75 – 15) = sin 60 = 1/2 √3. sin(75)cos(15) + cos(75)sin(15) Sederhanakan setiap suku. Nilai eksak dari adalah . cos(2⋅75) cos ( 2 ⋅ 75) Multiply 2 2 by 75 75. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 Step by step video, text & image solution for Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. sin 75° = cos (15° + 75° ) = cos 90° = 0 [since cos (A + B) = cos A. Blog Koma - Rumus dasar sudut ganda trigonometri salah satunya bisa kita gunakan untuk Menghitung Nilai sin dan cos 15 derajat yang akan kita bahas pada artikel ini. Sederhanakan suku-suku. The sin of 75 degrees equals the y-coordinate (0. Subham Karmakar Subham Karmakar. View Solution. . 從幾何定義中能推導出很多三角函數的性質。例如正弦函數、正切函數、餘切函數和餘割函數是奇函數,餘弦函數和正割函數是偶函數 。 正弦和餘弦函數的圖像形狀一樣(見右圖),可以看作是沿著坐標橫軸平移得到的兩組函數。 Sine and Cosine of Complementary Angles. Karnataka Board PUC PUC Science 2nd PUC Class 12. . . sin 75+sin 15 b.cos a Trig table --> sin 45 = sqrt2/2 and cos 30 = sqrt3/2 sin 30 = 1/2, and cos 45 = sqrt2/2 There for: sin (45 - 30) = sin 15 = (sqrt2/2)(sqrt3/2) - (sqrt2/2)(1/2) = = sqrt2/4(sqrt3 - 1) Split 75 75 into two angles where the values of the six trigonometric functions are known. 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 The cofunction identities are summarized in Table 7. To find the value of cos 15 degrees using the unit circle: Rotate 'r' anticlockwise to form 15° angle with the positive x-axis. Tap for more steps Consider a equilateral triangle bisected: From this we see: #cos 60^@ = "adjacent"/"hypotenuse" = 1/2# #sin 30^@ = "opposite"/"hypotenuse" = 1/2# sin15° cos75° + cos15° sin75° = sin (90° - 75°) cos75° + cos(90°- 75°) sin75° = cos75° cos75° + sin75° sin75° = cos 2 75° + sin 2 75° = 1 Question: Find the exact value of the expression sin 75° cos 15° + cos 75° sin 15 Rewrite the expression using a sum or difference formula.9659, 0. Example 3 Find , and , if , and and are the first quadrant angles. Упростим каждый член. Study Materials. Split 75 75 into two angles where the values of the six trigonometric functions are known. Lets explore few ways Value of sin 15 degrees Method 1 ( using sin 30) Find the value of sin75 ° + sin15 ° Solution: sin (75) + sin (15) = sin (45 + 30) + sin (45 - 30) We know that, sin (A + B) = sinA. These formulas can be derived from the product-to-sum identities.cosB - cosA. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan).r dna elcric tinu fo )8852.. The 17th century French mathematician Albert Girard made the first published use of the abbreviations sin, cos, and tan in his book Trigonométrie. Trigonometry. We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0. Tap for more steps √6−√2 4 cos(15) 6 - 2 4 cos ( 15) The exact value of cos(15) cos ( 15) is √6+√2 4 6 + 2 4. sin 75 cos 15* + cos 75' sin 15º = cos (75* + 15°) = cos 90 OD sin 75 Trigonometry questions and answers. SSC CGL Result Out on 6th December 2023. Divide en dos ángulos donde se conozcan los valores de las seis funciones trigonométricas.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 3.2.2. Sudut A dan sudut B Nilai dari sin 255 adalah . 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. The SSC CGL Eligibility is a bachelor's degree in the concerned discipline. Similar Questions. Nilai dari sin 105 + cos 105 adalah . \sin 8 x \cos 7 x-\cos 8 x \sin 7 x sin8xcos7x−cos8xsin7x. 아래는 삼각형의 덧셈정리 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.cosA The value of sin (75)cos (15)+cos (75)sin (15) is 1 © Course Hero Symbolab 2023 true View solution steps Quiz Trigonometry cos(75) =sin(15) Similar Problems from Web Search What is 1 − sina − cos a as a product? Trigonometry Examples Popular Problems Trigonometry Find the Exact Value cos (75)cos (15) cos (75)cos (15) cos ( 75) cos ( 15) The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4. the SSG has released the revised result for the exam held on the 26th and 27th of October 2023. The sum-to-product formulas allow us to express sums of sine or cosine as products. Tap for more steps √2 + √6 4 ⋅ √6 + … \sin (x)+\sin (\frac{x}{2})=0,\:0\le \:x\le \:2\pi \cos (x)-\sin (x)=0 ; 3\tan ^3(A)-\tan (A)=0,\:A\in \:\left[0,\:360\right] \sin (75)\cos (15) \sin (120) \csc (-\frac{53\pi }{6}) prove\:\tan^2(x) … sin (75)cos (15) Algebra Pre Calculus Calculus Functions Linear Algebra Trigonometry Statistics Physics Finance Economics Go Examples Related Symbolab blog posts High … sinxcosy +cosxsiny = sin(x +y). Tentukan nilai \sin 75\cos 15-\cos 75\sin 15 sin75cos15−cos75sin15. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more.sinB ⇒ sin (75) + sin (15) = (sin45.cos b - sin b. The sine of an angle in a right triangle is the ratio of the side opposite the angle to the hypotenuse.) Not the exact question you're looking for? Post any question and get expert help quickly. Here's the best way to solve it. 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 1.
sin75-cos75=sin75-sin15=2cos (75+15)/2sin (75-15)/2=2cos45sin30=√2/2
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