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

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

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

prove

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

True

Solution steps

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

Let:

u = \frac{a}{2}

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

Prove

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

True

Therefore

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

We showed that the two sides could take the same form

\Rightarrow True

tan (x) - tan (x) sin (x) = cos (x) sin (x)

cot (x) + tan (x) = sec (csc (x))

cos (\frac{1}{3} π) = cos (- \frac{1}{3} π)

7 sec (θ) = - 9.2

(cot (x) + tan (x)) cos (x) = csc (x)

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