How do you simplify 2 sin(x/2) cos(x/2)

How do you simplify 2 sin(x/2) cos(x/2)?
Any help would be greatly appreciated.

Let y = 2 sin (x/2) cos (x/2)

Recall the double-angle formula fo sine:

sin 2θ := 2 sin θ cos θ

Let θ = x/2

y = 2 sin θ cos θ

y = sin 2θ

y = sin 2(x/2) ... Substitute.

y = sin x

Therefore:

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

~~~

2 sin(x/2) cos(x/2) = sin[x]