Question

please solve this fast​

Answer 1

$\frac{ \sin \alpha }{ \cot \alpha + \csc \alpha } - \frac{ \sin \alpha }{ \cot \alpha - \csc \alpha } \\ \\ = > \frac{ \sin \alpha }{ \cot \alpha + \csc\alpha } + \frac{ \sin \alpha}{ \csc \alpha - \cot\alpha } \\ \\ = > \frac{ \sin\alpha( \csc\alpha - \cot\alpha) + \sin\alpha( \cot\alpha + \csc \alpha ) }{ { \csc}^{2} \alpha - { \cot }^{2} \alpha } \\ \\ = > \frac{ \sin \alpha \csc\alpha - \sin \alpha \cot \alpha + \sin\alpha \cot\alpha + \sin \alpha \csc\alpha }{1} \\ \\ = > 1 + 1 = 2 = RHS$

HENCE PROVED ✔️✔️

I hope it will be helpful for you ✌️✌️

Mark it as brainliest and...

Fóllòw MË ☺️☺️