Q. Which of the following functions have period $2\pi$?
A) $y = \sin\left( 2\pi t + \frac{\pi}{3} \right) + 2\sin{\left( 3\pi t + \frac{\pi}{4} \right) + 3\sin{5\pi t}}$
B) $y = \sin\frac{\pi}{3}t + \sin\frac{\pi}{4}t$
C) $y = \sin{t + \cos{2t}}$
D) None of the above
Explanation
(c)
The period of the function in option (a) is 2. The period of the function in option (b) is 24.
The period of the function in option (c) is $2\pi$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.