24. Use basic identities to simplify: tan z cos - csc z + sec a cos T 25. Use a sum or difference identity to find the exact value of cos

Q: То evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare cos²2x=1 – sin²2x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which expression is equal to + tan x using identities? tan x 1. sin x COS sin r cos e O sin z cos

A:

Q: Which expression is equal to tan cot sec t COS e using identities? O sin z COS E O 1 O-1

A: We have to check

Q: 2) Use the fundamental identities to simplify the expression: (1 – cos? x)(csc x).

A:

Q: Given that cos(x)=−1/2, what is cos(−x)?

A: Topic :- Trigonometry Answer cos(-x)= -1/2

Q: If sin A = 5 with A in QI , find Cos Cos Cos Cos cos CoS

A:

Q: 1. Explain the steps in verifying that the following equation is an identity. cos x sec x + tan x =…

A:

Q: Prove the given identity: 1- cos?x = sinxcosx tanx

A:

Q: If sin A = with A in QII, find Cos 9 cos Cos COS Cos Cos 스2

A: cos2A +sin2A =1 cos(2A)=2 cos2A -1

Q: Prove the following identity: sin(2a) tan(a) 1+ cos(2a) 1 sin(2a) 1+ cos(2a) ||

A:

Q: Use the following information to determine cos(2x). tan(x) = -4 and cos(x) is positive %3D Answer…

A: 1+tan2x=sec2x cos(2x) = 2cos2x-1

Q: Establish the identity. sin (a + B) = tan a + tan B cos a cos

A:

Q: Which of the following is equivalent to cos B(tan-ß + 1) for all values of B for wh cos B(tan-ß + 1)…

A:

Q: Analyze the following identities. a) cos¹0 - sin¹0 = cos 20 COS b) (sin x + cos x)² = 1 + sin 2x

A:

Q: sin² e – cos e tan 0- cot e = sin e cos e

A: A) sin2θ-cos2θsin θ cosθ=sin2θsin θ cosθ-cos2θsin θ cosθ=sin θ cosθ-cos θsin θ =tan θ- cot θ

Q: Show that the following statement is an identity by transforming the left side into the right side.…

A:

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in…

A:

Q: Given that cos(x)=0.61, what is cos(−x)?

A: We will solve the problem

Q: Prove the following identities sinθ+cotθcosθ=cscθ sinθ(cscθ-sinθ)=cos2θ

A:

Q: Use the addition formula to derive the identities. (a) cos(x – ;) = sin x (b) sin(x – 5) COS x kIN…

A: Addition formula are as follows: sin(A + B) = sin A cos B + cos A sin B sin(A − B) = sin A cos B −…

Q: / Find the value of the following: 1) cos (tan- 1) 2) sin (sin-) -1 3) tan (cos n) cos (sin-1) 4)

A:

Q: Use the fundamental identities to simplify the expression. csc e(sin e + cos 0) Select one: O a. sec…

A:

Q: Which expression is equal to csc x cos x cot x using identities? -

A: Some of the basic trigonometric identities are, sin2x+cos2x=1 cscx=1sinx cotx=1tanx Given…

Q: Prove the following identity:  1) sinθ cotθ = cosθ

A:

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in…

A: To verify the identity sinxcotx=cosx.

Q: Which value for 0 is a counter example to sin² 0 + cos² 0 = tan²0 as an identity? O O | સ sin² 0 +…

A:

Q: Given that cos(x) = 0.75, what is cos(-x)? Provide your answer below: cos ( – x) =

A:

Q: Which of the following identities is FALSE? O tan? 0+1= csc2 e CSC O tan 0 sin 0 cos e O sin 0+ cos…

A:

Q: Prove the identity on a separate sheet of paper. tan 6+ sin e cos 2 tan e

A: In this question we have to prove the following identity.

Q: Show that the following statement is an identity by transforming the left side into the right side.…

A:

Q: Verify the following identity: sin 20 – tan 0 tan 0 cos 20

A: To verify the identity: sin 2θ-tan θ=tan θ cos 2θ

Q: 8. Verify the identity: 1- cos h sin? h h h(1 + cos h)

A: To verify:1-coshh = sin2hh1+coshUseful for the question:  sin2x + cos2x = 1a2 - b2 = a-ba+b

Q: 5. Use a half-angle identity to find the exact value of sin cos x = 12

A: To find the value of sin

Q: Verify the following identities: sin 20 – tan 0 tan 0 cos 20

A: Solved below

Q: Use the following information to determine cos(2x). cos(x)=3/4 and sin(x) is positive.

A:

Q: 10) Verify that the equation is an Identity. (tan? x+1)(cos? x-1) = - tan? x 11

A: We have to find out

Q: cos s e + cscOsind| 2. sin²e

A: To simplify cos2θsin2θ+cscθsinθ

Q: Give the following identity      sin^2 θ + cos^2 θ = 1 derive the following      1+cot^2 θ=csc^2 θ…

A:

Q: Use the appropriate reciprocal identity to find the exact value of sec 0 for the given value of cos…

A: We have the reciprocal identities,                 cosx=1secxsinx=1cosecxtanx = 1cotx Here we have…

Q: Use the following information to determine sin(2x). cos(x)=−1/4 and sin(x) is positive.

A: Given: cosx=-14 and sinx is positive, To determine: The value of sin2x.

Q: Express as a sum or difference:4 sin 3 θ cos 7 θ

A: Consider the provided expression, 4sin3θcos7θ Express as a sum or difference. Use the formula of…

Q: Verify the identity. tan 8. cos 8. csc 0=1 Which of the following four statements establishes the…

A: Given Data: Proof: tanθ·cosθ·cscθ=1 The conversion of tangent function to sine and cosine function…

Q: Verify (cos(a+b))/ (cos a cos b)=1-tan a tan b.

A:

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in…

A:

Q: a. Apply the formula for cos (A - B) to the identity sin x = cos(pai/ 2 - x) to obtain the addition…

A: a). Obtain the addition formula for sin(A+B) using the identity as follows.

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Q: Use the equivalent forms of the first Pythagorean identity. = and 0 terminates in QII. 2 Find cos 0…

A:

Q: Verify the identity. sin(0) 1 - cos(e) csc(e)cot(e)

A: Given,

Q: ) 1- Given that a = sin Find cos x, tan x, cot x, secx and csc x ?

A: This is a problem related to the trigonometric ratio. We will find out value of alpha in degree and…