What is the fundamental period of `f(x) = (sin x+ sin 3x)/(cos x+ cos – InterviewSolution

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1.	What is the fundamental period of `f(x) = (sin x+ sin 3x)/(cos x+ cos 3x)`A. `pi//2`B. `pi`C. `2pi`D. `3pi`
Answer» Correct Answer - B `f(x)=(sinx+sin3x)/(cosx+cos3x)` `=(2sin2xcosx)/(2cos2x cos3x)` where `x ne (2n+1)(pi)/(4),(2n+1)(pi)/(2)` `f(x+(pi)/(2))=tan2(x+(pi)/(2))=tan(2x+pi)=tan2x` it seems that `(pi)/(2)` is a period but it is not because f(0) is defined where as `f((pi)/(2))` is not defined.

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