Question

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Answer 1

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

$\frac{ \ \cot( \alpha ) }{ \sin( \alpha ) \times \cos( \alpha ) } = \frac{ \frac{ \cos( \alpha ) }{ \sin( \alpha ) } }{ \sin( \alpha ) \times \cos( \alpha ) } = \frac{ \cos( \alpha ) }{ \sin( \alpha ) } \times \frac{1}{ \sin( \alpha ) \times \cos( \alpha ) } = \frac{1}{ { \sin( \alpha ) }^{2} }$