Question

sin a / 1 + cos A is equal 1 - cos a/sin A​

Answer 1

hi mate

welcome to the concept of trigonometry

formula used

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

I hope it help you

Answer 2

Given:

(SinA/1+cosA) = ( 1 - cosA)/SinA,

To Find:

Proof of the above equation.

Solution:

The given problem can be solved by using trigonometric identities.

1. According to the properties of trigonometry, consider the basic identity,

=> $Sin^2 x + Cos^x = 1,$

2. The given identity can also be written as,

=>$sin^2x = 1- cos^2x$,

3. According to the algebraic properties,$(a^2-b^2) = (a+b) (a-b)$ using the same identity in the above form we get,

=> $sin^2x = (1+cosx)(1-cosx),$

On further expansion we get,

=> sinx * sinx = (1+cosx)(1-cosx),

=> (sinx/1+cosx) = (1-cosx)/sinx,

Hence proved.

Hence the identity (sina/1+cosa) = (1-cosa/sina) is correct.