Question

plz see the photo and answer plz!​

Answer 1

Answer:

Please refer to the attachment!!!

Hope it Helps!!!

Answer 2

LHS =

$\: \: \: \: \frac{ \csc( \alpha ) }{ \cot( \alpha ) + \tan( \alpha ) } \\ \\ = \frac{ \frac{1}{ \sin( \alpha ) } }{ \frac{ \cos( \alpha ) }{ \sin( \alpha ) } + \frac{ \sin( \alpha ) }{ \cos( \alpha ) } } \\ \\ = \frac{ \frac{1}{ \sin( \alpha ) } }{ \frac{ {cos}^{2} \alpha + {sin}^{2} \alpha }{ \sin( \alpha ) \cos( \alpha ) } } \\ \\ = \frac{1}{ \sin( \alpha ) } \times \sin( \alpha \cos( \alpha ) ) \\ \\ = \cos( \alpha )$

= RHS