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Question

What is the period of f(x) = Sinx. Cos3x ?


A

2π

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B

1

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C

2

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D

π2

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Solution

The correct option is A

2π


We know, that period of f(x) . g(x) will be equal to the LCM of periods of f(x) & g(x)

Here, the period of Sinx = 2π

And the period of Cos 3x = 2π3

And the LCM of both the periods will be = 2π

Hence the period of f(x) = Sinx . cos (3x) is 2π.


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