Question

1-sin a/1+sin a=cos a/1+sin a

Answer 1

Answer:

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Answer 2

$\bold{ \huge{ \mathfrak{Hello!}}}$

$\frac{1 - sina}{1 + sina} = \frac{cosa}{1 + sina}$

$= > 1 - sina = cosa$

$= > sina + cosa = 1$

$= >( sina + cosa) \times ( \frac{sina - cosa}{sina - cosa} ) = 1$

$= > \frac{ {sin}^{2}a + {cos}^{2}a }{sina - cosa} = 1$

$= > sina - cosa = 1$

$\bold {adding \:( sina + cosa) \: both \: side}$

$= > sina - cosa + sina + cosa = 1 + 1$

$= > sina - \cancel{cosa} + sina + \cancel{cosa} = 2$

$= > sina = 1$

$= > \boxed{ a = \frac{\pi}{2} }$