Question

plese solve this guys.....​

Answer 1

refer the attachment

Answer 2

Answer:

$\frac{1 + \cos( \alpha ) - { \sin( \alpha ) }^{2} }{ \sin( \alpha ) (1 + \cos( \alpha ) } = \cot( \alpha ) \\ \\ l.h.s. \\ \frac{ { \sin( \alpha ) }^{2} + { \cos( \alpha ) }^{2} \ + cos( \alpha ) - { \sin( \alpha ) }^{2} }{ \sin( \alpha ) (1 + \cos( \alpha )) } \\ \\ \frac{ { \cos( \alpha ) + \cos( \alpha ) }^{2} }{ \sin( \alpha ) (1 + \cos( \alpha )) } \\ \\ \frac{ \ \cos( \alpha ) (1 + \cos( \alpha ) }{ \sin( \alpha )(1 + \cos( \alpha ) } \\ \ \\{ \cos( \alpha ) }/{ \sin( \alpha ) } = > \cot( \alpha ) \\ \\ hence \: proved \: \: \: \\ \ \\ cot( \alpha ) = \cot( \alpha )$

may be it's helpful to you ✴️