Question

cosec2A-cot2A divide by cosecaA-cotA simplify​

Answer 1

Answer :

$= \frac{cosec {}^{2}( \alpha ) - \cot {}^{2} ( \alpha ) }{cosec {}^{2}( \alpha ) - \cot( \alpha ) } \\ = \frac{(cosec( \alpha ) + \cot( \alpha ) )(cosec( \alpha ) - \cot( \alpha ) )}{(cosec( \alpha ) - \cot( \alpha )) } \\ = cosec( \alpha ) + \cot( \alpha )$