11a Use a half-angle formula to find sin( ) 12

Q: 3cos(6x) How can this value be converted to sin How much is it in sin?

A:

Q: V3 IF Sine =, And < 0 < n.Find the Value 0f Tan- Using Half Angle Of Sine Тan 1+ Cose

A:

Q: 12 3. (a) Use a middlesum with n = 4 to estimate cos(Vx + 4) dx. Make sure that your calculator is…

A: ∫-412cosx+4dx

Q: 9. Solve the following trigonometric equation. C. 2 cos x tan x = 2 cos x а. 2 cos x — 1 3D 0

A: according to the guidelines of company only 3 parts would be answered in this question to get solved…

Q: 9. Given sin 0 =, ? what is cos0? zV6 a. 7. 5V6 b. V6 2V7 с. 5V6 d. V12

A:

Q: 3 and x terminates in quadrant II. V10 Find sin 2x, cos 2x, and tan 2x if cosx=- sin 2x cos 2x %3D…

A:

Q: 11. Evaluate the exact value of each of the following trig e> a) tan-(-V3) b) sec (sin" (-))

A: Answer and explanation is given below

Q: 5) Use the trigonometric substitution to write the algebraic expression as a trigonometric function…

A:

Q: 41. | sin &r cos 5x dr

A: This integral can be done by using the trigonometric formula In the given question a=8x and b=5x…

Q: cos (x) = 0.7. If x and y are complementary, what is sin (y)? Submit

A:

Q: let sin A= -3/5 with A in the third quadrant. Find sin2A and the cos A/2

A: Trigonometric

Q: find sin(a+b) Tana = a in quadrant 3 Sin 6 = 15 6 in quadrant 2

A:

Q: 2n Consider the function y = 4 sin (x+)- 1. Wha 1. What is the period of the function?

A:

Q: 1+cos5x 4. Evaluate y'for y = and simplify the answer sin5x

A:

Q: V30 Let 0 be a quadrant I angle with Sin(0) 6. Find sin

A: We have to find sine angle

Q: V3 (c) arccos d) coin-1) 7Tt 8. Evaluate without a calculator: (a) sin 3 (b) tan

A:

Q: 3 Find the exact value of tan(2x) given sin(x) = х in -- quadrant III. А. 17/6 В. 19/6 С. 22/7 D.…

A:

Q: 45 F 28 53 What is the sin D of the triangle above? What is the sin E of the triangle above?

A: Given, A right angle triangle DEF with sides  DF = 45DE = 53EF = 28  We have to find the value of…

Q: dx If x2 - 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

A:

Q: Find Sin CatA) with a in quadrant II 13 Sin a=5 %3D COS B = 12 , with B in quandroint IV 13

A:

Q: /9—4х2 dx (Use Trigonometric Substitution) x2

A:

Q: Q3 Find the angles within the range -180<0<180 which satisfy the equation sin 30 = -2 cos 30.

A:

Q: 10. What should be the value of A so that S A• sin (6x²) dx = - cos(6x²) + C, ? A. x В. 2х С. Зх D.…

A:

Q: (g Suppose cos(a) = - and sin(a) is positive. 3 If the point (-2, y) is on the terminal side of the…

A: Given,           cosα=-23 and sinα is positive. Also, the point -2,y is on the terminal side of the…

Q: A3.-- LA = a/b * O cos cot sin sec tan

A: As per the instruction, we will be answering only the first question. For (3), Given:

Q: 1³ dx Evaluate / using the appropriate trigonometric substitution. Show your steps, and express the…

A: Let, Then we integrate using substitution

Q: nd the specified quantity. 7) Find the period of y = -5 sin 8x +

A:

Q: 11 T Find the exact value of sin

A: Topic-trigonometry

Q: 12. In the right triangle shown, find the sin a . B) vx-1 C) vi-x A) x D) I-x

A:

Q: 3. (a) e' cost (b) 3e2' sin 21

A:

Q: 2-5cos@ do sin e

A: Given integration is: ∫2-5cosθsinθdθ To find the value of integration.

Q: a Determining L{e-' sin 3t} leads to find: a, b, c. s2 +bs+c a=

A: We use Laplace transform formulas

Q: 1. Find all the angles between 0° and 360° with A. a sine of - B. a cosine of V2 C. a tangent of V3

A:

Q: 36-40. Find sin (s + t), given that sin s = and sin t = -- ,s in quadrant Il and t in quadrant IV.

A: Given sins=23sint=-13

Q: 11T Find sin exactly. 12

A:

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

A:

Q: 5. What is the sine ratio of zZ? 16 12 20

A: Given ,

Q: V14 Let 0 be a quadrant Il angle with sin(0) || 5 Find cos

A: The trigonometric identities can be used here, sin2(θ)+cos2(θ)=1 cos2(θ)=2cos2θ2-1

Q: need to prove the equation AC/BD = tan(theta - alpha) + cot(theta). I'm at a total loss for where…

A: Here we have to prove that ,  ACBD=tanθ-α+cotθ

Q: Exer. 15–16: Use half-angle formulas to find the exact values. 15 (a) cos 67°30' (b) sin 15° (c) tan…

A:

Q: 3) Solve the following for the angle 0 using CAST Rule, where 0 ≤ 0 ≤ 360 a) sine === √√3 b) cose =…

A: a) sinθ=-12 By CAST rule, sinθ is negative in 3rd and 4th quadrant, So here 180≤θ≤360. Since period…

Q: 7 - If æy + sin(e") + arcsin a = sin 1+ then what is the value of at (4, 0)? b) а) b) b. c) C d) d.…

A: Given: xy+siney2+sin-1x=sin1+π6

Q: 15 Find the exact value of the trigonometric expression given that sin(u) = - where 37/2 <u< 27, and…

A: given: sin(u)=-35 where 3π2&lt;u&lt;2π cos(v)=1517 where 0&lt;v&lt;π2 we have to find the exact…

Q: 8 C 17 15 A Find sin(8) in the triangle.

A: We have to find sin beta of the given triangle.

Q: 2. Evaluate the following using trigonometric substitution. Show all necessary solutions. 2/2 dx (c)…

A: We are given the integral : ∫12dxx24-x2 We need to evaluate this using trigonometric sub:stitution .…

Q: 4(cos 310° + i sin 310°)

A:

Q: 2. sin 8 = 42 P(0) is in the second quadrant

A: Given θ lies in the second quadrant We know that sinθ , cosecθ are positive in the second quadrant…

Q: Q1: Find the X- Value of the Trigonometric Equation. 5 sin? nx - 7sin nx cosnx + 10cos? nx = 4

A: Given trigonometric equation is                          5sin2nx-7sinnxcosnx+10cos2nx=4 The given…

Q: a) Use the formulas  sin(A + B) and sin(A - B) for toshow that sin A cos B = 1/2 [sin(A - B)+ sin(A…

A: a) Use the formulas  sin(A + B) and sin(A - B) for toshow that sin A cos B = 1/2 [sin(A - B)+ sin(A…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.