Q. The period of the function $f(\theta) = \sin{\frac{\theta}{3} + \cos\frac{\theta}{2}}$ is
A) $3\pi$
B) $6\pi$
C) $9\pi$
D) $12\pi$
Explanation
(d)
Period of $\sin{\frac{\theta}{3} = 6\pi}$
And period of $\cos{\frac{\theta}{2} = 4\pi}$
$\therefore$ Period of $f(x) = LCM(6\pi,\ 4\pi) = 12\pi$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.