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Question

Find the fundamental period for f(x)=sinx+cosx

A
π
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B
π2
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C
2π
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D
None of these
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Solution

The correct option is B π2
f(x)=|sinx|+|cosx|
Now f(π2+x)=|cosx|+|sinx|=f(x)
Hence period of f(x) is π2

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