Question

Prove that under root 1-CosA/1+CosA = CosecA -CotA

Answer 1

Step-by-step explanation:

$\sqrt{ \frac{1 + \cos( \alpha ) }{1 - \cos( \alpha ) } } \\ = \sqrt{ \frac{1 + { \cos( \alpha ) }^{2} + 2 \cos( \alpha ) }{ 1 - { \cos( \alpha ) }^{2} } } multiplying \: by \: \sqrt{1 - \cos( \alpha ) up \: and \: down} \\ = \sqrt{ \frac{ {(1 + \cos( \alpha ) }^{2} }{ { \sin( \alpha ) }^{2} } } \\ = \frac{1 + \cos( \alpha ) }{ \sin( \alpha ) } \\ = \csc( \alpha ) + \cot( \alpha )$

Answer 2

Answer:

This is how to solve it...