The function of time representing a simple harmonic motion with a period of \(\frac{\pi}{\omega}\) is: [JEE Main 2021, 1…

\(\cos (\omega t)+\cos (2 \omega t)+\cos (3 \omega t)\)

\(\sin ^2(\omega t)\)

\(\sin (\omega t)+\cos (\omega t)\)

\(3 \cos \left(\frac{\pi}{4}-2 \omega t\right)\)