Question

plz answer this ..,
show that​

Answer 1

Answer:

$(( \cos( \alpha ) + \sin( \alpha ) ) \cosec( \alpha ) - 1 \\ \\ = \cos( \alpha ) . \cosec( \alpha ) + \cosec( \alpha ) . \sin( \alpha ) - 1 \\ \\ = \cos( \alpha ) . \frac{1}{ \sin( \alpha ) } + \frac{1}{ \sin( \alpha ) } . \sin( \alpha ) - 1 \\ \\ = \cot( \alpha ) + 1 - 1 \\ \\ = \cot( \alpha ) \: \: \: \: (proved) \\ \\ \\ formula \: \: \: - \: \: \: cosec( \alpha ) = \frac{1}{ \sin( \alpha ) } \\ \\ \\ \frac{ \cos( \alpha ) }{ \sin( \alpha ) } = \cot( \alpha )$