Express cot^2 x-1 / csc^ x in terms of sin x?

Question

Express
cot^2 x-1
csc^ x
in terms of sin x

Answer 1

Assuming the question is:-
(cot ² x - 1) / cosec ² x
(cos ² x / sin ² x - 1) / (1 / sin ² x)
[ (cos ² x - sin ² x) / sin ² x ] (sin ² x)
cos ² x - sin ² x
1 - 2 sin ² x

Answer 2

Given that the expression you show may be cot^2 x-1 / csc^2 x, I take leave to deem the answer should be 1-2*sin^2 x.

Answer 3

Short answer -- use your Trig identities and convert the csc term into sin.