The function of time representing a simple harmonic \( \mathrm{P} \...

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The function of time representing a simple harmonic
\( \mathrm{P} \) motion with a period of \( \frac{\pi}{\omega} \) is : [JEE Main-2021 (March)]

W
(a) \( \cos (\omega t)+\cos (2 \omega t)+\cos (3 \omega t) \)
(b) \( \sin ^{2}(\omega t) \)
(c) \( \sin (\omega t)+\cos (\omega t) \)
(d) \( 3 \cos \left(\frac{\pi}{4}-2 \omega t\right) \)
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