Question

Prove this equation ​

Answer 1

____1____ +___1_____ = __2 sin A__

sin A + cos A sin A - cos A 1- 2 cos^2 A

L.H. S =_sin A - cos A_ +_sin A + cos A_

_sin A + cos A_ _ sin A - cos A_

=_ 2 sin A_ = _2sin A_

sin^ 2 - cos^2 1 - cos^2 - cos^2

= _2sin A_ ( Hence proved)

1-2cos^2 A R.H.S = L.H.S

. Using formula -> ( sin^2 = 1 - cos^2)

-> ( a^2 - b^2) = (a+b) (a-b)

I hope its help you....

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