Rewrite as a single expression. sin(6$\theta$ )cos(3$\theta$ ) - cos(6$\theta$)sin(3$\theta$ )
A) cos(9$\theta$ )
B) cos(3$\theta$ )
C) sin(9$\theta$ )
D) sin(3$\theta$ )

Question

Quizplus · Accepted Answer

We can use the identity sin(A-B) = sinAcosB - cosAsinB to rewrite the expression as:

sin(6F1F1F1S1F1F1F10 - 3F1F1F1S1F1F1F10)

= sin(3F1F1F1S1F1F1F10)

Therefore, the answer is D.

Rewrite as a Single Expression θ\thetaθ )Cos(3 θ\thetaθ ) - Cos(6 θ\thetaθ )Sin(3 θ\thetaθ

Rewrite as a Single Expression $\theta$ )Cos(3 $\theta$ ) - Cos(6 $\theta$ )Sin(3 $\theta$