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Question

Question: The period of the function \(f(\theta) = \sin\frac{\theta}{3} + \cos\frac{\theta}{2}\) is...

The period of the function f(θ)=sinθ3+cosθ2f(\theta) = \sin\frac{\theta}{3} + \cos\frac{\theta}{2} is

A

3π3\pi

B

6π6\pi

C

9π9\pi

D

12π12\pi

Answer

12π12\pi

Explanation

Solution

Period of sin(θ/3)=6π\sin(\theta/3) = 6\piand period of cos(θ2)=4π\cos\left( \frac{\theta}{2} \right) = 4\pi

L.C.M. of 6π6\pi and 4π=12π4\pi = 12\pi