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

cot (2 x) = \frac{sec ( x ) + csc ( x )}{2 sin ( x ) - 2 cos ( x )}

cos^{4} (x) = (1 - sin^{2} (x))^{2}

\frac{\frac{1}{c s c ( x )}}{\frac{1}{c o t ( x )}} = cos (x)

cos (- x) = - cos (x)

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

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