Is (sin^2(2x))/(1-cos(2x))=2cos^2(x) ?

The answer to whether (sin^2(2x))/(1-cos(2x))=2cos^2(x) is True

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prove (sin^2(2x))/(1-cos(2x))=2cos^2(x)

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= 2 cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

tan (θ) sec^{2} (θ) tan (θ) = tan^{3} (θ)

1 - 2 sin^{2} (\frac{x}{4}) = cos (\frac{x}{2})

cos^{2} (b) + sin^{2} (b) = 1

tan (a) sin (a) + cos (a) = sec (a)

sin (\frac{3 π}{4}) = sin (\frac{3}{4} π + 2 π)

Is (sin^2(2x))/(1-cos(2x))=2cos^2(x) ?
The answer to whether (sin^2(2x))/(1-cos(2x))=2cos^2(x) is True