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Which of the following functions has period $π$ ?

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2cos⁡2πx3+3sin⁡πx3

|tan x| + cos 2x

4cos⁡2πx+π2+2sin⁡πx+π4

None of these

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detailed solution

Correct option is B

Period of 2cos⁡2πx3+3sin⁡πx3 = L.C.M. 2π2π/3,2ππ/3=6 Period of 4cos⁡2πx+π2+2sin⁡πx+π4 = L.C.M. 2π2π,2ππ=2 Period of |tan⁡x|+cos⁡2x= L.C.M. π,2π2=π

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Which of the following functions has period π?

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Which of the following functions has period $π$ ?