Question

verify:2cos^2(x/2)=sin^2x/1-cosx

Answer 1

I think you can start it with RHS:

\[\frac{\sin^2(x)}{1 - \cos(x)}\]

As \(sin^2(x) + cos^2(x) = 1\)

\[\frac{1 - \cos^2(x)}{1 - \cos(x)}\]

Now just factorize numerator by using:

\[\frac{(1-\cos(x))(1+\cos(x))}{(1 - \cos(x))}\]

Just cancel whatever is being cancelled and then use:

\[1 + \cos(x) = 2 \cos^2(\frac{x}{2})\]

Answer 2

I think in LHS, there must be 2cos^2(x/2), check that..

Answer 3

oh yep your right i accidently left that part out im glad you caught it