Which of the following functions has period 2 - Vidyadip

MCQ

Which of the following functions has 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
$y = \sin \frac{\pi }{3}t + \sin \frac{\pi }{4}t$
✓
$y = \sin t + \cos 2t$
D
None of these

✓

Answer

Correct option: C.

$y = \sin t + \cos 2t$

c
(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 $.

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