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

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

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

prove

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

True

Solution steps

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

Manipulating right side

\frac{1 - cos ( 2 u )}{2}

Rewrite using trig identities

= sin^{2} (u)

We showed that the two sides could take the same form

\Rightarrow True

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

sin (x) = - 1 = sin (0) = - 1

sin (\frac{3 π}{2} - θ) = cos (θ)

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

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

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