Question

prove identities
full solution
plz ☺☺

Answer 1

hope this helps you ☺☺☺☺

Answer 2

The answer is given below :

Now, L.H.S.

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

= R.H.S. [Proved]

Thank you for your question.