Question #75d62

1 Answer
Oct 12, 2015

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)