In Exercises 67-74, rewrite each expression in terms of the given function or functions. tan x + cot X 67. sec x + csc x 68. sin x ; cos x 1+ tan x csc x cos x 1 + sin x 1 69. + tan x; cos X 70. sin x cos x cot x; cot x cos X 1 + cos x 72. (sec x + csc x)(sin x + cos x) – 2 - cot x; tan x 1 71. 1 csc x cos x 73. csc x 1 - sin x -; sec x and tan x sin x" 1 + sin x 74. 1 + sin x sec x and tan x 1 - sin x

Q: Verify identity (csc x - cot x)2 =(1 - cos x)/(1 + cos x).

A: The given identity is csc x-cot x2 =1-cos x1 + cos x

Q: 1. + tan e cose 1. tan e cose

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

Q: Statement cotx (sec²x - 1) = = = cosx -(sec²x - 1) sinx cosx sinx cosx sinx sinx COS.X = tant…

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Q: n¹(tan(-)) 215. tan

A: Given problem:- tan-1tan-π6

Q: Verify the identity: tan x + 1/tan x = 1/(sin x cos x)

A: To verify: tan x+1tan x=1sinx. cosx

Q: tan 0 csc 0 cos 0 = 1

A: Given,           tanθcscθcosθ=1

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: sin x Verify: cot x + = csc x 1+cos x

A:

Q: sin tan - Vx² + 1

A:

Q: Prove tan x + cos x = sin x (sec x + cot x).

A: We have to prove the identity: tan x+cos x=sin x sec x+cot x We know the relation between…

Q: How do I subtract (sinϴ-1)/(cosϴ) - (cosϴ)/(sinϴ-1). Show work

A: We have given expression to subtract  Let, y=sinθ-1cosθ-cosθsinθ-1 y=sinθ-12-cos2θcosθsinθ-1 Using…

Q: 6) Verify tan x + cot x = sin(2x)

A: Simplification