We have to try to verify the identity -- [tex] \dfrac{Cot^3t}{csct} = cost(csc^2t-1)[/tex]
[tex]cost(csc^2t - 1) [/tex]
[tex]cost(cot^2t) [/tex]
[tex]cost( \dfrac{cos^2t}{sin^2t} ) [/tex]
[tex]\dfrac{cos^3t}{sin^2t} [/tex]
[tex]sin^2t \neq csct[/tex]