Question

Question #94009

Answer 1

`LHS=cot^3t/csct`

`=(cos^3t)/(sin^3tcsct)`

`=(cost*cos^2t)/sin^2t`

`=(cost*(1-sin^2t))/sin^2t`

`=cost*(1/sin^2t-sin^2t/sin^2t)`

`=cost*(csc^2t-1)=RHS`

Verified