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

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

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

prove

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

True

Solution steps

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

Manipulating right side

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

Rewrite using trig identities

= sin^{2} (z)

We showed that the two sides could take the same form

\Rightarrow True

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

cos (x) - csc (x) cot (x) = - cos (x) cot^{2} (x)

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

\frac{1 + tan ( x )}{sin ( x )} - sec (x) = csc (x)

\frac{csc ( β )}{cot ( β )} = sec (β)

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