Question

prove that : √1-cosA/1+cosA = sinA/1+cosA​

Answer 1

Step-by-step explanation:

$\frac{ \sqrt{1 - \cos(a) } }{ \sqrt{1 + \cos(a) } }$

$\frac{ \sqrt{1 - \cos(a) } }{ \sqrt{1 + \cos(a) } } \times \frac{ {1 - \cos(a) } }{ {1 + \cos(a) } }$

$\frac{ \sqrt{ {(1 - \cos(a)) }^{2} } }{ \sqrt{ {(1 + \cos(a) ) }^{2} } }$

$\frac{1 - \cos(a) }{1 + \cos(a) }$

$\frac{ \sin(a) }{1 + \cos(a) } \: \: \: \: \: (1 - \cos(a) = \sin(a) )$

Hence proved