Prove that : ^2 A+1 1+ ^2 A =1. - Vidyadip

Question

Prove that : $\cos ^2 A+\frac{1}{1+\cot ^2 A}=1$.

✓

Answer

$\text { LHS }=\cos ^2 A+\frac{1}{\cos e c^2 A}$
$ =\cos ^2 A +\sin ^2 A $
$= \cos^2 A + \sin^2 A$
$= 1$
$= RHS$
Hence proved.

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