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Question

The period of the function f(x)=sin(sinx5) is

A
2π
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B
2π5
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C
10π
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D
5π
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Solution

The correct option is D 10π
Given, f(x)=sin(sinx5)
f(x+10π)=sin[sin(x+10π5)]
=sin[sin(x5+2π)]
=sin(sinx5)=f(x)
Hence, period of f(x) is 10π.

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