Is cos^2(2x)= 1/2 (1+cos(4x)) ?

The answer to whether cos^2(2x)= 1/2 (1+cos(4x)) is True

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prove cos^2(2x)= 1/2 (1+cos(4x))

prove

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

True

Solution steps

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

Manipulating right side

\frac{1}{2} (1 + cos (4 x))

Rewrite using trig identities

= cos^{2} (2 x)

We showed that the two sides could take the same form

\Rightarrow True

sin (4 x) = 8 sin (x) cos (3 x) - 4 sin (x) cos (x)

\frac{cot ( β )}{csc ( β )} = cos (β)

\frac{1 + cos ( w )}{sin ( w )} = \frac{sin ( w )}{1 - cos ( w )}

\frac{4 sec ( θ ) - 4}{1 - cos ( θ )} = 4 sec (θ)

tan^{2} (θ) = \frac{1 - cos ^{2} ( θ )}{cos ^{2} ( θ )}

Is cos^2(2x)= 1/2 (1+cos(4x)) ?
The answer to whether cos^2(2x)= 1/2 (1+cos(4x)) is True