Question

Cotx/cscx-sinx =secx

Verify the identity

Answer 1

`(\cot x)/(\csc x-\sin x)=(\cot x\sin x)/((\csc x-\sin x)\sin x)=(\cos x)/(1-\sin^2x)=(\cos x)/(\cos^2x)=\frac1{\cos x}=\sec x`