Question

Prove that:-
$\frac{sin2 \alpha }{1 - cos2 \alpha } = cot \alpha$
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Answer 1

Explanation:

Here is your answer

using formula,

$sin2( \alpha ) = 2 \sin( \alpha ) \cos( \alpha )$

$1 -\cos2( \alpha ) = 2 \sin {}^{2} ( \alpha )$

Now ,

$\frac{ \sin2 ( \alpha ) }{1 - \cos2( \alpha ) }$

$= \frac{2 \sin \alpha \cos\alpha }{2 \sin {}^{2} \alpha }$

$= \cot( \alpha )$

hence proved

Answer 2

Answer:

Explanation:

We know that

sin2alpha=2sinalpha×cosalpha.

Cos2alpha=1-2sin(sq)alpha.

By putting you will get your answer.

=2sinalphacosalpha/1-(1-sin(sq)alpha).

Sinalphacosalpha/sin(sq)alpha.

=Cotalpha.

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