How do I do this problem?

Question

(cot x + csc x) (cot x - csc x)

Answer 1

cot^2x - csc^2x

Answer 2

When in doubt, do them all in sin and cos.

and alway remember cos^2(x) +sin^2(x) = 1

The answer then may be simplified to

( cos^2(x)-1 ) / sin^2(x)  = -1  

Answer 3

Is  like

(a + b) (a - b) = a^2 - b^2

so  the  answer  is

cot^2 x - csc^2 x