Question

solve this question.

Answer 1

please mark as brainlist

Answer 2

HELLO DEAR

sintheta (1+tant theta) + cos theta (1+cot theta)

=>
$\sin \alpha (1 + \frac{ \sin \alpha }{ \cos \alpha }) + \cos \alpha (1 + \frac{ \cos \alpha }{ \sin \alpha } ) \\ = > \sin \alpha ( \frac{ \cos \alpha + \sin \alpha }{ \cos \alpha }) + \cos \alpha ( \frac{ \sin \alpha + \cos \alpha }{ \sin \alpha } ) \\ = > ( \cos \alpha + \sin \alpha) ( \tan \alpha + \cot\alpha ) \\ = > ( \cos \alpha + \sin \alpha)( \frac{ \sin \alpha }{ \cos \alpha } + \frac{ \cos \alpha }{ \sin \alpha } ) \\ = > ( \cos \alpha + \sin \alpha)( \frac{ { \sin }^{2} \alpha + { \cos}^{2} \alpha }{ \sin \alpha \cos \alpha } ) \\ = > \frac{( \cos \alpha + \sin \alpha)}{ \sin \alpha \cos \alpha } \\ = > \frac{ \cos( \alpha ) }{ \sin( \alpha ) \cos( \alpha ) } + \frac{ \sin( \alpha ) }{ \sin( \alpha ) \cos( \alpha ) } \\ = > \frac{1}{ \sin( \alpha ) } + \frac{1}{ \cos( \alpha ) } \\ = > \cosec( \alpha ) + \sec( \alpha )$
I HOPE ITS HELP YOU DEAR,
THANKS