Rewrite as a single expression. cos(6$\theta$ )cos(2$\theta$ ) + sin(6$\theta$ )sin(2$\theta$ )
A) cos(8$\theta$ )
B) cos(4$\theta$ )
C) sin(8$\theta$ )
D) sin(4$\theta$ )

Question

Quizplus · Accepted Answer

Using the identity cos(A-B) = cosAcosB + sinAsinB, we can rewrite the given expression as:
cos(6F1F1F1S1F1F1F10 - 2F1F1F1S1F1F1F10)
Simplifying the expression inside the cosine, we get:
cos(4F1F1F1S1F1F1F10)
Therefore, the answer is (B) cos(4F1F1F1S1F1F1F10).

Rewrite as a Single Expression θ\thetaθ )Cos(2 θ\thetaθ ) + Sin(6 θ\thetaθ )Sin(2 θ\thetaθ

Rewrite as a Single Expression $\theta$ )Cos(2 $\theta$ ) + Sin(6 $\theta$ )Sin(2 $\theta$