If the period of the function f(x) = 2 cos(3x | vedclass

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(C) The period of $\cos(3x + 4)$ is $T_1 = \frac{2\pi}{3}$.The period of $	an(2x - 3)$ is $T_2 = \frac{\pi}{2}$.The period of $\sin(5x)$ is $T_3 = \f

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$	an \frac{k}{3} = -\sqrt{3}$

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(C) The period of $\cos(3x + 4)$ is $T_1 = \frac{2\pi}{3}$.The period of $	an(2x - 3)$ is $T_2 = \frac{\pi}{2}$.The period of $\sin(5x)$ is $T_3 = \frac{2\pi}{5}$.The period $k$ of $f(x)$ is the $L$.$C$.$M$. of $T_1, T_2, T_3$,which is $	ext{L.C.M.}\left(\frac{2\pi}{3}, \frac{\pi}{2}, \frac{2\pi}{5}ight) = \frac{	ext{L.C.M.}(2\pi, \pi, 2\pi)}{	ext{H.C.F.}(3, 2, 5)} = \frac{2\pi}{1} = 2\pi$.Thus,$k = 2\pi$.Checking option $C$: $	an \frac{k}{3} = 	an \frac{2\pi}{3} = -\sqrt{3}$.

If the period of the function $f(x) = 2 \cos(3x + 4) - 3 \tan(2x - 3) + 5 \sin(5x) - 7$ is $k$,then

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