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The period of the function $f(\theta)=\sin \frac{\theta}{3}+\cos \frac{\theta}{2}$ is
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Verified Answer
The correct answer is:
$12 \pi$
We have, $f(\theta)=\sin \frac{\theta}{3}+\cos \frac{\theta}{2}$
LCM of 3 and 2 is 6
$\Rightarrow \quad \frac{\theta}{6}=2 \pi \Rightarrow \theta=12 \pi$
$\therefore$ Period is $12 \pi$
LCM of 3 and 2 is 6
$\Rightarrow \quad \frac{\theta}{6}=2 \pi \Rightarrow \theta=12 \pi$
$\therefore$ Period is $12 \pi$
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