Question

prove that cotØ-tanØ=2cos^2Ø-1/sinØcosØ​

Answer 1

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

Taking LCM,

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

This equals to

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

Hope this helps.....☝☝☝

$Be Brainly$

Answer 2

This may help you frnds....plzz like...and if it is incorrect then report...