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Question

The period of sinx2+cos(x4π6) is

A
π2
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B
2π
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C
π
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D
4π
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Solution

The correct option is D 4π
We know that the period of |sinx| and |cosx| is π.

The period of
a+bsin(mx+n) and a+bcos(mx+n) is 2π|m|

Using the above information, we get the period of
sinx22π
cos(x4π6)4π

Now, the period of
sinx2+cos(x4π6)
=LCM of (2π,4π)
=4π

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