Question

Find a numerical value of one trigonometric function of x for csc x =sin x tan x + cos x. a. sin x =0 c. sin x =1 b. cot x +0 d. cot x =1

Answer 1

d. cot x =1

Explanation:

The equation contains undefined values for x=0 or π/2. The only answer choice that corresponds to something different is ...

d. cot x = 1

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This condition is true for x = π/4. Then the equation becomes ...

csc(π/4) = sin(π/4)tan(π/4) +cos(π/4)

√2 = (√2/2)(1) +(√2/2) . . . true