Question

Cot^3/csct=cost(csc^2t-1)

Answer 1

`(\cot^3t)/(\csc t)=\frac{(\cos^3t)/(\sin^3t)}{\frac1{\sin t}}=(\cos^3t)/(\sin^2t)=\cos t\cot^2t=\cos t(\csc^2t-1)`