4. Use the power-reducing formulas to write sin?xcos²x in terms of the first powers of cosine.

Q: 4. Apply half-angle formula to find a. cos 15° b. sin 15° C. COS

A: Given: cos15∘, sin15∘, cos5π8 We know that cos2x=cos2x-sin2x…

Q: If r=In(sin2r), then dr is equal to

A:

Q: Solve the following trigonometric equation 2sin^(2)x-tanx=0

A: Explanation of the solution is given below...

Q: 6. If sin a = -1, what is cos a?

A: The trigonometric functions include 6 functions. The trigonometric terms can be calculated using the…

Q: Given sin b=5/13 in qii,find the exqct value of sin(2B)

A: Given that         sinB = 5/13 , where B is in Q II.      We have to find the value of sin2B.

Q: Given sine = -5/13 and cose < 0, determine tane O -12/5 O 12/5 O 5/12 O -5/12

A: Solution ) sin(thetha) = -5/13 and cos(thetha) &lt;0 Sin thetha is ( - ) and cos (thetha) &lt;0 that…

Q: Use the addition formulas to derive the identity. 25) COS sin x 25) %3D

A:

Q: Give the exact value of sin (cos ()). 3

A: The objective is to find the exact value of the trigonometric function.

Q: if sinθ= 2/√5, and θ terminates in QII, find cosθ.

A:

Q: Suppose that cos B = 0.68. What is the value of sin(æ)? %3D

A: Given cos β =0.68

Q: 1. Evaluate the value of sin (Arctan(-4/3) + Arccos(-5/13))

A:

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

A:

Q: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

Q: Find the missing value to the nearest whole number. sin 17° = = %3D OA 1 ов 2 OC 7 OD.-7

A: We have to find x

Q: O do 5 sin cos de Sin ³0 + 3sing-4

A: Given that ∫5 sin θ cos θsin2θ + 3 sin θ-4dθ We can solve this by using substitution method. Needed…

Q: 2) Use a double-angle formula to simplify: sin (10z) cos (5r)

A:

Q: 167 Give the exact value of sin 3

A:

Q: If sin B = −1/3 with B in QIII, find tan (B/2).

A:

Q: Evaluate sin(9æ)cos(3x)dæ.

A:

Q: 12 what is the value of sec 13 (a+ If sin a 13 and cos a

A: Given,            sinα=513 and cosα=1213To find : secα+π4

Q: 4. Determine the exact value of Sin 120*

A: As we know from the trigonometric identity; sin90+θ=cosθ   The given expression is: sin120°

Q: Use the fact that sin (38) 0.6157 to complete the expression. 22 cos() 0.6157

A: We have to use the fact  sin(38°) ≈ 0.6157 to complete the expression  cos(.... °) ≈ 0.6157

Q: Find sin 2x, cos 2x, and tan 2x if sin xD and x terminates in quadrant I.

A:

Q: 2) Use the addition or subtraction formula to find the exact value of the expression sin 285°

A: Find the exact value

Q: If sin A= -4/5 with A in QIII, find cos A/2

A:

Q: Use an Addition or Subtraction Formula to simplify the equation. cos(θ) cos(2θ) + sin(θ) sin(2θ) =…

A: Use an Addition or Subtraction Formula to simplify the equation. cos(θ) cos(2θ) + sin(θ) sin(2θ) =…

Q: What is the value of sinh (In 2 +i)?

A:

Q: 6 If csc B =6, e in Q2, find Sin(20) with

A:

Q: If sin18 = 0.309, determine the value of cos 72

A:

Q: 1. Use the sum or difference formula to find the exact answer for sin(255°).

A: Solve

Q: a) sin(27-a)=? x)%3D?

A:

Q: Find sin 2x, cos 2x, and tan 2x if cosx = and x terminates in quadrant 17

A:

Q: - Find the value of each of the following: 4T Cos 3 sin(-30°) , ,sec(165°)

A: as per our guidelines, i can answer only one equation with three subparts. To know rest, please re…

Q: Find sin 2x, cos 2x, and tan 2x if tanx= and x terminates in quadrant II. 12

A: In second quadrant sin is positive and cos is negative

Q: Noel claims to have found a solution to the equation sin 101 x + cos99 2022. Which statement below…

A: Given that: sin101x+cos99x=2022

Q: 4 The value of [ cos* 30 sin° 60 de is

A: We need to calculate the given definite integral for which we will use the substitution.

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A: The key step to solve this question is use the formula- Cos2x=(1+cos(2x))/2

Q: 10. Show that if A ia an acute angle, sin²A+ cos² A = 1

A: This can be solved using triangle

Q: 1. Suppose that cos = 0.68. What is the value of sin(=)? Explain.

A: First we assume cos(α)=0.68cos(α)= 68100 we know that  cos(θ)=adjacenthypotenuseLets mark the…

Q: Show that 7 sin? xdx L? cos? ædr I|

A:

Q: Find sin(2θ), if cosθ=24/25 and θ lies inquadrant IV.

A:

Q: Simplify: cos^4 A − sin^4 A

A: In this question, we need to simplify cos4 A -sin4 A.

Q: If sec A = √10 with 0° ≤ A ≤ 90°, find sin 2A and sin A/2

A:

Q: Use an appropriate identity to find the exact value of the expression. sin (165°) -N2Wa+1) 4

A: Consider the given expression: sin (165°)

Q: 2-Simplify first, then determine the exact value. (sin7n/24 + cos7a/24)2

A:

Q: sin(2t) cos(3¤

A:

Q: Solve for tan(A-B) if Sin(A)=4/5 and A is in Q1 and if Cos(B)=-7/25 and is in Q3

A: In the first quadrant all trigonometric ratios are positive, so cosA and tanA will be positive.…

Q: What is the exact value of sin(67.5°)cos(22.5°)?

A:

Q: 7T, enter the exact value of each. 4 If 0 - An exact answer requires a radical or fraction. No…

A: T