The period of the function f(theta) = sin fra | vedclass

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Question

(D) The period of $\sin(a	heta)$ is given by $\frac{2\pi}{|a|}$.For the first term $\sin(\frac{	heta}{3})$,the period $T_1 = \frac{2\pi}{1/3} = 6\pi

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(D) The period of $\sin(a	heta)$ is given by $\frac{2\pi}{|a|}$.For the first term $\sin(\frac{	heta}{3})$,the period $T_1 = \frac{2\pi}{1/3} = 6\pi$.For the second term $\cos(\frac{	heta}{2})$,the period $T_2 = \frac{2\pi}{1/2} = 4\pi$.The period of the sum of two periodic functions is the $L.C.M.$ of their individual periods.$L.C.M.$ of $6\pi$ and $4\pi$ is $12\pi$.Therefore,the period of $f(	heta)$ is $12\pi$.

The period of the function $f(\theta) = \sin \frac{\theta}{3} + \cos \frac{\theta}{2}$ is (in $pi$)

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