express (sin\theta -sin^(3)\theta )/(cos^(3)\theta ) as a single trigonometric ratio

Question

express (sin\theta -sin^(3)\theta )/(cos^(3)\theta ) as a single trigonometric ratio

Answer 1

Since sinx-sin^{3}x=sinx(1-sin^{2}x)=sinx cos^{2}x the given expression simplifies to sinx/cosx=tanx.