Questions in trigonometry

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Period of $\sin \theta -\sqrt{3}\cos \theta $ is
Period of $\sin \frac{x}{2}-\cos \frac{x}{3}$ is
Period of cot $3x-\cos (4x+3)$ is
Period of $|2\sin 3\theta +4\cos 3\theta |$ is
The period of ${{\sin }^{4}}x+{{\cos }^{4}}x$ is
The period of the function $f(\theta )=\sin \frac{\theta }{3}+\cos \frac{\theta }{2}$ is
If the period of the function $f(x)=\sin \left( \frac{x}{n} \right)$ is $4\pi $ , then $n$ is equal to
Period of ${{\sin }^{2}}x$ is
The period of the function $y=\sin 2x$ is
Which of the following functions has period $2\pi $

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