Is cos(4x)=cos^2(2x)+sin^2(2x) ?

The answer to whether cos(4x)=cos^2(2x)+sin^2(2x) is False

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prove cos(4x)=cos^2(2x)+sin^2(2x)

prove

cos (4 x) = cos^{2} (2 x) + sin^{2} (2 x)

False

Solution steps

cos (4 x) = cos^{2} (2 x) + sin^{2} (2 x)

Show that the two sides are not equal

\Rightarrow False

2 sin (\frac{x}{2}) cos (\frac{x}{2}) = sin (x)

csc (A) = \frac{cos ( 2 A )}{sin ( A )} + \frac{sin ( 2 A )}{cos ( A )}

sin (θ) csc (θ) + cot (θ) sin (θ) = 1 + cos (θ)

tan (x) cot (x) = csc (x) sec (x)

sin^{2} (θ) = 1 + cos^{2} (θ)

Is cos(4x)=cos^2(2x)+sin^2(2x) ?
The answer to whether cos(4x)=cos^2(2x)+sin^2(2x) is False