$sin a x + cos a x$ and $| cos x | + | sin x |$ are periodic functions of same fundamental period if $a$ equals to

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Solution

The correct option is D $4$
Fundamental period of $| s i n x | + | c o s x |$ is $\frac{π}{2}$ .
Fundamental period of $(s i n a x + c o s a x)$ is $\frac{2 π}{a}$ .
$∴ a = 4$

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