The period of $f (x) = | sin x | + | cos x |$ is

\frac{π}{2}

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π

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\frac{π}{4}

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\frac{2}{π}

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Solution

The correct option is A $\frac{π}{2}$
$| sin x |$ has period $π$ , and $| cos x |$ has period $π$ .

Here, $f (x)$ is an even function and $sin x$ , $cos x$ are complementary.
Thus, period of $f (x) = \frac{1}{2} {LCM of π a n d π} = \frac{π}{2}$
Hence, option 'A' is correct.

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