Question

Simplify the question..​

Answer 1

Step-by-step explanation:

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