Question

sin a/1+cos a + 1+ cos A/sin A = 2 cosecA
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Answer 1

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

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