If $f(x)$ is an odd periodic function with period $1$,then $f(2)$ is equal to:

The period of $\sin \theta - \sqrt{3} \cos \theta$ is

The period of $f(x) = \cos \left(\frac{x}{3}\right) + \sin \left(\frac{x}{2}\right)$ is (in $\pi$)

The period of $\sin^4 x + \cos^4 x$ is

Let $\alpha$ be the period of $3 \sin \frac{\pi x}{3} - \cos \frac{\pi x}{2} + \tan \frac{\pi x}{4}$,$\beta$ be the period of $\sin^2 \left( \frac{\pi}{7} + \frac{x}{4} \right) - \sin^2 \left( \frac{\pi}{7} - \frac{x}{4} \right)$,and $\gamma$ be the period of $\cos^4 x + \sin^4 x$. Then $\frac{\alpha \gamma}{\beta} = $

Let $f(x) = \cos \sqrt{x}$,then which of the following is true?