Question

plz answer the question correctly​

Answer 1

Answer:

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

I hope it will help you ☺☺