Question

please solve the question given in pic​

Answer 1

$\cot( \alpha ) - \tan( \alpha )$

$= \frac{ \cos( \alpha ) }{ \sin( \alpha ) } - \frac{ \sin( \alpha ) }{ \cos( \alpha ) }$

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

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