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CUET
-- Mathematics - Section B1
Relations and Functions
Period of $|\sin 2x | + |\cos 8x|$ is
$π/2$
$π/3$
$π/16$
none of these
Clearly period of $|\sin 2x |=\frac{π}{2}$ and period of $|\cos 8x|=\frac{π}{8}$Now L.C.M. $\left(\frac{π}{8},\frac{π}{2}\right)=\frac{π}{2}$ ⇒ Period of the given function is $\frac{π}{2}$