First slide

Functions (XII)

Question

The period of the function $f (x) = \cos^{2} 3 x + \tan 4 x$ is

Moderate

A

$π / 3$
B

$π / 4$
C

$π / 6$
D

$π$

Solution

$f (x) = (1 / 2) (1 + \cos 6 x) + \tan 4 x$ The period of $\cos 6 x is 2 π / 6 = π / 3$ and the period of tan $4 x$ is $π / 4$ . Hence
the period of f is $l . c . m .$ of $π / 3$ and $π / 4 = π$ .

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