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

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

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

prove

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

True

Solution steps

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

Let:

u = \frac{c}{2}

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

Prove

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

True

Therefore

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

We showed that the two sides could take the same form

\Rightarrow True

\frac{5 sin ( 2 θ )}{2 sin ( θ )} = 5 cos (θ)

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

\frac{tan ( a ) + cot ( a )}{tan ( a )} = csc^{2} (a)

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

- 2 cos (θ) = 2 sin (θ)

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