Question

find theta, if cos theta /cosec theta +1 + cos theta /cosec theta -1 = 2​

Answer 1

$given \: \frac{ \cos( \alpha ) }{ \csc( \alpha ) + 1} + \frac{ \cos( \alpha ) }{ \csc( \alpha ) - 1} = 2 \\ \\ \frac{ (\cos( \alpha ))( ( \csc( \alpha ) - 1)) }{( \csc( \alpha ) + 1)} + \frac{ (\cos( \alpha ))( ( \csc( \alpha ) + 1)) }{( \csc( \alpha ) - 1)} \\ \frac{ \cos( \alpha ) ( \csc( \alpha )) - \cos( \alpha ) }{( \csc( \alpha ) + 1)} + \frac{ \cos( \alpha ) ( \csc( \alpha )) + \cos( \alpha ) }{( \csc( \alpha ) - 1)} \\ \frac{1 - \cos( \alpha ) }{(\csc( \alpha ) + 1)} + \frac{1 + \cos( \alpha ) }{(\csc( \alpha ) - 1)} = 2$

simply it to get the value of alpha