Test: Functions II - Ambitious

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Question 1:   Find the period of the function $f\left(x\right)=\mathrm{cos}\left(\frac{\theta }{3}\right)$
$2\pi$
$6\pi$
$\frac{1}{3}\pi$
$3\pi$
Question 2:   Find the period of the function $f\left(x\right)=-6\mathrm{cot}\left(3\theta +4\right)$
$\pi$
$7\pi$
$\frac{4}{3}\pi$
$\frac{\pi }{3}$
Question 3:   Find the period of the function $f\left(x\right)=2\mathrm{cos}\left(\frac{\theta }{2}\right)+5\mathrm{cos}\left(\frac{\theta }{3}\right)$
$18\pi$
$12\pi$
$6\pi$
$4\pi$
Question 4:   Find the period of the function $f\left(x\right)=\frac{1}{5}\mathrm{sin}\left(3\theta \right)+\frac{1}{4}\mathrm{sin}\left(\frac{\theta }{5}\right)$
$10\pi$
$5\pi$
$\frac{2}{3}\pi$
$30\pi$
Question 5:   Find the amplitude of the function $f\left(x\right)=3\mathrm{sin}\left(\frac{\theta }{15}\right)$
$6$
$3$
$1$
$30$
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