Question

solve the question ​

Answer 1

Step-by-step explanation:

$L.H.S \\ = \sqrt{ \frac{1 + sin \alpha }{1 - sin \alpha } } + \sqrt{ \frac{1 - sin \alpha }{1 + sin \alpha } } \\ = \frac{1 + sin \alpha + 1 - sin \alpha }{ \sqrt{1 - {sin}^{2} \alpha } } \\ = \frac{2}{cos \alpha } \\ = 2sec \alpha \\ \\ \\ \\ = {cot}^{2} \alpha - \frac{1}{ {sin }^{2} \alpha } + 1 \\ = \frac{ {cos}^{2} \alpha }{ {sin}^{2} \alpha } - \frac{1}{ {sin}^{2} \alpha } + 1 \\ \\ = \frac{ {cos}^{2} \alpha - (1 - {sin}^{2} \alpha ) }{ {sin}^{2} \alpha } \\ = 0 \\ \\ hope \: it \: will \: help \: you.$