Is $\dfrac{\sin(A)}{2}= \sin \left (\dfrac{A}{2}\right)$?

Question

I was wondering if $\dfrac{\sin(A)}{2}= \sin \left (\dfrac{A}{2}\right)$ and please explain why or why not.

Answer 1

Here is a geometric view of $why?$ and $why$ $not?$

Red one : $\frac{\sin(x)}{2}$

Blue one : $\sin(\frac{x}{2})$

Answer 2

No, it is not take for example $$A=\pi$$