Is sin(x)=2sin(x/2)cos(x/2) ?

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

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prove sin(x)=2sin(x/2)cos(x/2)

prove

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

True

Solution steps

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

Let:

u = \frac{x}{2}

sin (2 u) = 2 sin (u) cos (u)

Prove

sin (2 u) = 2 sin (u) cos (u) :

True

Therefore

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

We showed that the two sides could take the same form

\Rightarrow True

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

\frac{4 sin ^{2} ( x )}{sin ( 2 x )} = 2 tan (x)

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

sin^{2} (Q) + cos^{2} (Q) = 1

sin (u) (csc (u) - csc (u)) = cos^{2} (u)

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