Question

Prove sin^3z*cos^2z=sin^3z-sin^5z

Answer 1

Left hand side
sin^3z × ( 1 - sin^2z ) = RHS
let sin z = y
y^3 × ( 1 - y^2 ) = RHS
y^3 - y^6 = RHS
sin^3z - sin^6z = RHS

the answer at RHS should be to the power of 6 . u better check it next time