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Wave Equation

The period of...

Question

The period of the function $f (x) = cos 4 x + tan 3 x$ is

A

π

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B

\frac{π}{2}

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C

\frac{π}{3}

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D

\frac{π}{4}

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Solution

The correct option is A $π$
We know period of $cos 4 x = \frac{2 π}{4} = \frac{π}{2}$
and period of $tan 3 x = \frac{π}{3}$
$∴$ Period of $f (x) = L C M (\frac{π}{2}, \frac{π}{3})$
$= \frac{L C M (π, π)}{H C F (2, 3)} = π$

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