Question

sin 2 theta/1+cos 2 theta=tan theta

Answer 1

$\frac{ \sin(2x) }{1 + \cos(2x) } = \tan(x)$
Taking L.H.S
$\sin(2x) = 2 \sin(x) \cos(x)$
$1 + \cos(2x) = 2 { \cos ^{2} (x) }$
Plugging in the values we get :-
$\frac{2 \sin(x) \cos(x) }{2 \cos ^{2} (x) } = \tan(x)$


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Hence proved....
Here let theta = x

Answer 2

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