Question

PLS GIVE THE ANSWER
( 1/1 + cos A ) + ( 1/1-cos A ) =2 cosec^2A​

Answer 1

Answer:

............................

Answer 2

Solution:

To prove: ( 1/1 + cos A ) + ( 1/1-cos A ) =2 cosec²A

Proof: Taking L.H.S.,

= $\frac{1}{1+cosx} + \frac{1}{1-cosx}$

= $\frac{1-cosx + 1+cosx}{(1+cosx)(1-cosx)}$

= $\frac{2}{1-cos^{2}x}$

= $\frac{2}{sin^{2}x}$

= 2cosec²x = R.H.S.

Hence proved

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