Question

How do you verify the identity `sin(x/2)cos(x/2)=sinx/2`?

Answer 1

See below

Explanation:

Trigonometric identity:

`sin2A=2sinAcosA`

Let `A=x/2`

`sinx/2=1/2sin(2(x/2))=`

`2(1/2)sin(x/2)cos(x/2)=sin(x/2)cos(x/2)`