Find the fundamental period for $f (x) =∣ sin x ∣ + ∣ cos x ∣$

π

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\frac{π}{2}

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2 π

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None of these

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Solution

The correct option is B $\frac{π}{2}$
$f (x) = | sin x | + | cos x |$
Now $f (\frac{π}{2} + x) = | cos x | + | sin x | = f (x)$
Hence period of $f (x)$ is $\frac{π}{2}$

Suggest Corrections

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