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

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

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

prove

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

True

Solution steps

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

Manipulating right side

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

Rewrite using trig identities

= cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

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

\frac{csc ( x )}{tan ( x ) + cot ( x )} = cos (x)

(csc (x) - 1) (csc (x) + 1) = cot^{2} (x)

tan^{2} (y) (csc^{2} (y) - 1) = 1

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

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