Prove that cosecA - cotA = √1 - cosA/1 + cosA

Is this homework? We do not do homework!

I think what yuou mean is this:


cosec A - cotan A = \sqrt{ \frac {1 - \cos A} {1 + \cos A} }


Is that right? As always with this type of problem, convert the cosecant and cotan functions to there primitives using sine and cosine. Then it's simply a mater of manipulation, and substituting in \sin A = sqrt {1 - \cos^2 A}