Is 4sin(x/2)cos(x/2)=2sin(x) ?

The answer to whether 4sin(x/2)cos(x/2)=2sin(x) is True

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prove 4sin(x/2)cos(x/2)=2sin(x)

prove

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

True

Solution steps

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

Let:

u = \frac{x}{2}

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

Prove

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

True

Therefore

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

We showed that the two sides could take the same form

\Rightarrow True

5 cos (x) - 3 = 3 cos (x) - 4

\frac{cos ( φ ) + 1}{sin ( φ ) + tan ( φ )} = cot (φ)

tan (x) + tan (x) = 0

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

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

Is 4sin(x/2)cos(x/2)=2sin(x) ?
The answer to whether 4sin(x/2)cos(x/2)=2sin(x) is True