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

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

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

prove

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

True

Solution steps

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

Manipulating right side

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

Rewrite using trig identities

= sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

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

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

csc (2 θ) = \frac{1}{2} sec (θ) csc (θ)

sin (x) (1 + cot (x)) = sin (x) + cos (x)

arcsin (x) = \frac{1}{sin ( x )}

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