Calculate the number of roots of $f (| x |)$ if $f (x) = s i n x$ in $[0, 3 π]$

4

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3

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0

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None of these

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Solution

The correct option is A $4$
$f (x) = s i n | x |$
Now , the interval is $[0, 3 π]$
Roots will occur at $x = 0, π, 2 π, 3 π$

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