Question

1+ cos A / sinA =sinA / 1-cos A ​

Answer 1

Answer:

$\frac{1 + \cos(a) }{ \sin(a) } = \frac{1 + \cos(a) }{ \sin(a) } \times \frac{1 - \cos(a) }{1 - \cos(a) } \\ \\ = \frac{1 - {cos}^{2}(a) }{ \sin(a) (1 - \cos(a) )} \\ \\ = \frac{ {sin}^{2}(a) }{ \sin(a) (1 - \cos(a) )} \\ \\ = \frac{ \sin(a) }{1 - \cos(a) } \: \: \: (hence \: \: proved)$