Question

need step by step answer

Answer 1

Step-by-step explanation:

$\frac{ \cos( \alpha ) }{1 - \sin( \alpha ) } = \frac{ \cos( \alpha ) }{1 - \sin( \alpha ) } \times \frac{1 + \sin( \alpha ) }{ 1 + \sin( \alpha ) } \\ \\ = \frac{ \cos( \alpha ) }{1 - { \sin( \alpha ) }^{2} } \times (1 + \sin( \alpha )) \\ \\ = \frac{ \cos( \alpha ) }{ { \cos( \alpha ) }^{2} } \times (1 + \sin( \alpha )) \\ \\ = \frac{1 + \sin( \alpha ) }{ \cos( \alpha ) } = rhs$