Simplify csc^2x-1/csc^2x

Question

I need it work out the identities and simplify. 

Answer 1

(csc²(x)-1)/csc²(x)

 

Identity:  csc(x) = 1/sin(x)

 

1/sin²(x) - 1      

---------------  =  1 - sin²(x) = cos²(x)                [Identity: sin²(x)+cos²(x)=1]

  1/sin²(x)