Question

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

Answer 1

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