Question

1/costheta - costheta = tantheta sintheta​

Answer 1

QUESTION:-

$\frac{1}{ \cos( \alpha ) } - \cos( \alpha ) = \tan( \alpha ) \sin( \alpha )$

PROOF :-

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$\frac{1 - { \cos( \alpha ) }^{2} }{ \cos( \alpha ) } \\ \\ = > { \sin( \alpha ) }^{2} \div \: cos \alpha \\ \\ = > tan \alpha sin \alpha \\ = > proved$

thanks!