Is 2(1+sin^2(x))=cos(2x)+1 ?

The answer to whether 2(1+sin^2(x))=cos(2x)+1 is False

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prove 2(1+sin^2(x))=cos(2x)+1

prove

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

False

Solution steps

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

Show that the two sides are not equal

\Rightarrow False

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

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

cos (2 x) = cos (x) cos (x) - sin (x) sin (x)

(\frac{8}{6})^{2} + 1 = (\frac{10}{6})^{2}

sec^{4} (θ) - tan^{4} (θ) = 2 tan^{2} (θ) + 1

Is 2(1+sin^2(x))=cos(2x)+1 ?
The answer to whether 2(1+sin^2(x))=cos(2x)+1 is False