How do you do this?

Question

1-sin^2x/csc^2 x-1

Answer 1

multipy numerator and denominator by sin^2

sin^2 (1-sin^2)/(1-sin^2)=sin^2 x

Answer 2

or, you could just convert it to

cos^2/cot^2 = cos^2 * tan^2
= cos^2*sin^2/cos^2 = sin^2