Question

Prove that
sin2A / 1 - cos2A = cotA​

Answer 1

Step-by-step explanation:

Here ,

we prove that LHS = RHS

and here

LHS =

$\frac{ \sin \: 2a }{1 - \cos \: 2a } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ..........(1)$

now we know that

sin 2X = 2 sinX cosX

and

1 - cos2X = 2 sin^2X

so now from equation(1)

$\frac{2 \sin \: a \: \: cos \: a}{2 {sin}^{2} a} \\ \\ = \frac{coa \: a}{sin \: a} \\ \\ = cot \: a$

= RHS

WE CAN PROVE IT

hope it helps.....

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