Simplifying Trig Expression

Question

Simplify csc^2x-1/cot^2x 

Answer 1

OK.

 

csc²x = cot²x + 1,  from the Pythagorean identities.

 

Therefore, csc²x - 1 = cot²x.

 

Substitute:  (csc²x - 1)/cot²x = cot²x/cot²x = 1

 

I hope this helps.