From the list below find the expression, identical to the given. tan 4x sin 8x + sin 3x cos 3x + cos 8x sin 5x + sin 3x cos 3x + cos 5x sin x + sin 3x cos 3x - cosx sin 3x + sin 3x cos 3x - cos 3x sin 6x – sin 3x cos 3x + cos 6x

Q: Find the expression , identical go Cat (9x) the given a. sin 46x) - sinx Cos x - sin(16x) b. cos…

A: Expression of cot(9x) : See all the options And use the trigonometric formula .

Q: The expression sin(3z) cos (2z)- cos (3) sin (2z) is equal to cos (5z) sin z cos z O sin (5z)

A: Trigonometry Addition Formulas The following are the trigonometric addition identity formulas for…

Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 12 cos(x) = 13 csc(x) < 0 sin(2x) =…

A:

Q: Write the expression sec(0) tan(0) in terms of cos(0) and sin(0). 1 cos(0) O sin(0) cos (0) O sin(0)…

A: We have to write the given expression in terms of cos and sin.

Q: B) Prove that: 1-tan? 0 cos? 0 – sin? 0 - 1+tan? 0

A: Such identities can be proved by taking one side of the identity and proving it as equivalent to the…

Q: Evaluate without using a calculator: 7.1 sin 150° 7.2 cos 300° 7.3 tan 390° 7.4 cos 210° + sin 120°

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which of the following is equivalent to sin 0 tan 0 csc 0 for all values of 0 for which sin 0 tan 0…

A:

Q: Find the exact value of sin 5π/12 using the fact that 5π/12 = π/6 + π/4.

A:

Q: Which expression is equal to sec⁡xsin⁡xcot⁡x+tan⁡x using identities? sin^2x cos^2x -cos^2x

A: As per your question no any option matched...but for x=0 one option is satisfying...and that option…

Q: Show that the following is true. sin(x - ) We begin on the left side of the equation by using a…

A:

Q: True or false: If tan 3x = any integer n. + nn for 4 1, then x = %3D

A:

Q: Find the exact value of the expression. 5x sin COS COs sin 12 12 12 12 兀 sin 12 COS 12 sin Cos 12 12

A:

Q: 4. Given that V2 – v2 sin 22.5° find an exact expression for tan 22.5°. 2.

A:

Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: Prove the identity. 1 2. = cos x tan x 2 csc 2x Choose the sequence of steps below that verifies the…

A: Given identity can be solve with basic trignometric relations.

Q: Verify the identity. 2 sin(x) cos(x) = 1 (sin(x) + cos(x))2 - 1

A:

Q: True or False sin ( 20) has two equivalent forms: 2 sin 0 cos 0 and sin² 0 – cos 0

A: Given statement is, sin2θ has two equivalent forms: 2sinθcosθ and sin2θ-cos2θ.   The objective is to…

Q: Simplify - 2sin(2 – x)cos(2r + 1). O cos(x + 3) – cos(3x – 1) O sin(1 – 3x) – sin(x +3) O sin(3x –…

A:

Q: 8. Simplify: cos(5x) cos(2x) + sin(5x) sin (2x) B) sin (5x) cos (7x) C) sin(3x) D) cos(3x) CoS

A:

Q: Write the expression as one involving only sin 0 and cos 0. sin 20 - cos 0 Choose the correct answer…

A: Given sin2θ-cosθ

Q: B) Prove that: cos? 0 – sin? 0 1-tan? 0 =- 1+tan? 0

A: B)cos2θ-sin2θ=1-tan2θ1+tan2θRHS1-tan2θ1+tan2θ

Q: Simplify. 1+ sin 2x+ cos 2x COS X O A. 2(sinx+ cos x) O B. 2 tan x O C. 2 cot x O D. 2(sin x- cos x)

A: We have to silmplify

Q: Find sin(2x), cos(2x), and tan(2x) from the given information.   sin(x) =  5 13,   x in Quadrant I…

A:

Q: Verify the identity. (Simplify at each step.) 6 cos (T/2) – x 6 tan x sin (1/2) – x 6 cos (u/2) – x…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) =  12 13,   csc(x) < 0…

A: We shall use the trigonometry identities   Sin2x +cos2x =1 Sin2x= 2sinx Cosx   Cos2x= 1- 2sin2x…

Q: Which expression is equal to sin^4⁡x−cos^4⁡x / sin^2⁡x−cos2^⁡x using identities?   −1   2   1…

A: Topic- trigonometry

Q: Verify the identity. 1- sin 0 cos e cos 0 1- sin 0 =2 sec e To verify the identity, start with the…

A: We can verify the identity as below using trigonometric formulas.

Q: 3. Which expression is equal to O - cos²x sin² x O - sin²x O cos²x secx sin x cotx+tan x using…

A:

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: A cos?2x=1– sin2x 1+ cos4x & 2…

A:

Q: hereof. Simplify each expression. Show any work. sec x 3. CSC X 5. cos 2 0 (1 + tan 2 0) 1. sin 0…

A:

Q: Simplify the expression cos^2⁡x/1−cos^2⁡x A sin^2⁡x B cot^2⁡x C cos^2⁡x D tan^2⁡x

A:

Q: Express the sum or difference as a product. 1. cos 9x/2 + cos 7x/2 2. sin 4x - sin 6x

A: 1) Use the identity for summation,

Q: cos [arctan(-4/3) - arcsin(3/5)] b.  tan [arctan (5/6) + arcos (5/13)]

A:

Q: Find the exact value of the following expression. 11x tan 6. 4 + tan 6. tan 4 E. 11T 1 tan tan 6. 4…

A:

Q: Listed below are identities for cos 2x and sin 2r: cos 2x = 1 cos x -1 sin'x %3D sin 2r = 2 cos x…

A:

Q: Which is equal to (sin⁡x+cos⁡x)^2+(sin⁡x−cos⁡x)^2 using identities?   −2   1   2   −1

A: We have to find

Q: Simplify. 1+ sin 2x + cos 2x cos X O 2 cot x O 2 tan x 2(sin x + co x) 2(sin x - cos x)

A: Given: 1+sin2x+cos2xcosx

Q: Show that the following is true. sin(x-플) We begin on the left side of the equation by using a…

A: We have to show

Q: Match the equivalent expressions. o tan(x) O cot(x) o sec (x) O 1– cos (x) a. sin"(x) + cos (x) b.…

A: topic - trigonometric identities

Q: (a). Find a common denominator for COSX |- COSX and 1- COS x COS x –COS X COSX = cosx-coseX COS X…

A: a To find a common denominator for 1cos x and cos x1-cos x.b To expand cos x+tan x2 and to simplify.

Q: Verify the identity by converting the left side into sines and cosines. sec(x) – cos(x) = sin(x)…

A: The given identity is secx-cosx=sinxtanx   identity used: 1-cos2x=sin2x

Q: Find the exact value of the expression. a. tan(sin^−1(2/3) − cos^−1(1/3)) b. sin(cos^−1(3/4) −…

A:

Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A None 1- cos4x…

A:

Q: Which expression is equal to sin^4⁡x−cos^4⁡x / sin^2⁡x−cos^2x using identities?   −1   2   1…

A: The given expression is .sin4x-cos4xsin2x-cos2x Use identities a2-b2=(a-b)(a+b), where a and b are…

Q: Prove the identity. 9 sin(x- y) cos(x) cos(y) 9 tan(x) – 9 tan(y) Use a Reciprocal Identity, and…

A:

Q: Rewrite sin(x+5π4)sin(x+5π4) in terms of sin(x)sin(x) and cos(x)cos(x) using one of the following…

A: To rewrite sinx+5π4 in terms of sin(x) and cos(x) using sum/ difference identities.

Q: 1. Verify the expression cos(x) + sin x tan x = secx.

A: Given, cos x + sin x tan x = sec x

Q: What is the simplified form of cos 10r-cos 4x sin 10x+sin 4x O -cot(7x) O -tan(7x) O tan(7x) O no…

A: SOLUTION-

Q: To evaluate sin 2x cos 2x dx , the identities to be used is/are: sin4x , 1+ cos4x A 2 2 ® cos?2x=1-…

A: To find The identities to be used.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.