Which of the following functions have period $2{\rm{\pi }}$?

$y = \sin \left( {2\pi t + \frac{\pi }{3}} \right) + 2\sin \left( {3\pi t + \frac{\pi }{4}} \right) + 3\sin 5\pi t$

$y = \sin \frac{\pi }{3}t + \sin \frac{\pi }{4}t$

JEE MATHEMATICS MCQ: TRANSFORMATIONS

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Analyzing +4 | -1

Which of the following functions have period

2\mathrm{\pi }

View answer and explanation

Correct option: C

y = \sin t + \cos 2t

Option C is correct. The period of

\sin t

2\pi

and the period of

\cos 2t

\pi

. The least common multiple of

2\pi

and

\pi

2\pi

Practice All Chapter MCQs →

1 + \cos \,\,56^\circ + \cos \,\,58^\circ - \cos \,\,66^\circ = \lambda \cos \,\,28^\circ \,\,\cos \,\,29^\circ \,\,\sin \,\,33^\circ

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\sin x + \cos y

\mathrm{\;sin}\,\,36^\circ \,\,\sin \,\,72^\circ \,\,\sin \,\,108^\circ \,\,\sin \,\,144^\circ \;