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Question

The function f(x)=sin4x+cos4xx+tanx is

A
odd
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B
even
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C
neither even nor odd
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D
odd and periodic
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Solution

The correct option is A odd
We have f(x)=sin4x+cos4xx+tanx
f(x)=sin4x+cos4xxtanx=f(x)
so, f(x) is an odd function.
Clearly f(x) is not a periodic because of x term is there in denominator.

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