Prove that cos(x)tan(x) divided by cosec(x)^2 equals cos(x)^3 divided by cot(x)^3

Question

Prove that cos(x)tan(x) / cosec(x^2) = cos(x)^3 / cot(x)^3

Answer 1

cosxtanx/cosecx^2=cosx^3/cotx^3

(cosx)(sinx/cosx)/(1/sinx^2)=cosx^3/(cosx^3/sinx^3)

(sinx)/(1/sinx^2)=(cosx^3sinx^3/cosx^3)

sinx^3=sinx^3