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Question

The period of the function f(x)=(sin3x)+|cos6x| is

A
π
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B
2π/3
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C
2π
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D
π/2
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Solution

The correct option is B 2π/3
Given function is f(x)=sin3x+|cos6x|
Period of sinx is 2π

period of sin3x is 2π3
Period of |cosx| is π

period of |cos6x| is π6

Period of f(x) is L.C.M of denomirator of both functions dividied by H.C.F
of numerator of both

period of f(x) is 2π3

So, option B is correct

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