Question

sin2x/(1 - cos2x) = cotx​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

1.

$sin \: 2x = 2 \: sinx \: cosx$

2.

$1 - cos \: 2x = 2 \: {sin}^{2} x$

TO PROVE

$\displaystyle \: \frac{sin \: 2x}{1 - \: cos \: 2x} = cot \: x$

PROOF

$\displaystyle \: \frac{sin \: 2x}{1 - \: cos \: 2x}$

$= \displaystyle \: \frac{2 \: sinx \: cosx}{2 \: {sin}^{2} x}$

$= \displaystyle \: \frac{ \: cosx \: }{ \: {sin}x}$

$= cot \: x$

Hence proved