Question

coA-cosecA = 1-cosA/1+cosA​

Answer 1

Answer:

RHS

$\sqrt{ \frac{1 - \cos( \alpha ) }{1 + \cos( \alpha ) }} = \sqrt{ \frac{1 - \cos( \alpha ) }{1 + \cos( \alpha ) } \times \frac{1 - \cos( \alpha ) }{1 - \cos( \alpha ) } } =$

$\sqrt{ \frac{(1 - \cos ( \alpha )) {}^{2} }{1 - \cos {}^{2} ( \alpha ) } } = | \frac{1 - \cos( \alpha ) }{ \sin( \alpha ) }| = | \frac{1}{ \sin( \alpha ) } - \frac{ \cos( \alpha ) }{ \sin( \alpha ) } | = | \csc( \alpha ) - \cot( \alpha ) |$

LHS.