Question

Sin a/(1+cos a)+(1+cos a)/sin a

Answer 1

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