Question

Find the exact value of the expression. If tan θ = 9, find the exact value of cot ((pi/2)-θ)

A. 8

B. 10

C. 1/9

D. 9

Answer 1

use tan(x)=sin(x)/cos(x); cot(x)=cos(x)/sin(x); cos (pi/2-x)=sin(x) ; sin(pi/2-x)=cos(x)

Answer 2

This is a double indirection kind of thing.
tan(x) = 1/cot(x)
tan(pi/2-x) = 1/tan(x)

Answer 3

So the inverse of the inverse is ?

Answer 4

D?

Answer 5

@telliott99