Question

cos theta/ 1- sin theta= 1+ sin theta/ cos theta​

Answer 1

really it is a proof question

Answer 2

$\frac{ \cos( \alpha ) }{1 - \sin( \alpha ) } \\ \\ \\ = \frac{ \cos( \alpha )(1 + \sin( \alpha ) )}{(1 - \sin( \alpha ) )(1 + \sin( \alpha ) } \\ \\ \\ = \frac{ \cos( \alpha )(1 + \sin( \alpha ) }{1 - { \sin }^{2} \alpha } \\ \\ \\ = \frac{ \cos( \alpha )(1 + \sin( \alpha ) ) }{ { \cos}^{2} \alpha } \\ \\ \\ = \frac{1 + \sin( \alpha ) }{ \cos( \alpha ) } \\ \\ \\ hence \: proved$

THANKS