Question

Question #75d62

Answer 1

Take RHS and apply trignometric rules

Explanation:

We know that

`sin(A+B) = sinA * cosB + cosA * sinB`

Write `2 theta` as `theta + theta`

`sin (2theta) = Sin (theta+theta)`

`= sin(theta) * cos(theta) + cos(theta) * sin(theta)`

`=2sin(theta) * cos(theta)`

Rearrange equation

`sin(2theta) = 2sin(theta)cos(theta)`

`sin(theta)cos(theta) =1/2 * sin (2theta)`