Question

Prove that
$\frac{1 + \sin( \alpha ) - \cos( \alpha ) }{1 + \sin( \alpha ) + \cos( \alpha ) } = \sqrt{ \frac{1 - \cos( \alpha ) }{1 + \cos( \alpha ) } }$
​

Answer 1

Answer:

Step-by-step explanation:

LHS=

1+cosα

1+sinα

​

∗

1+cosecα

1+secα

​

=

1+cosα

1+sinα

​

.

1+

sinα

1

​

1+

cosα

1

​

​

=

cosα

sinα

​

=tanα=RHS

Answer 2

Answer:

we first have to rationalise the denominator

and then do further steps to get the answer

it will be prove in 2-3 steps please try it yourself coz I don't have that much time today