A function out of the following whoseperiod is not π is
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a
sin2x
b
cos2x
c
tan(2x+3)
d
y=|sinx|
answer is C.
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Detailed Solution
y=sin2x=12[1−cos2x] Since period of cosx is 2π so period of cos2x is π. y=1+cos2x=1+12(1+cos2x) The period of this is again π The period of tan x is p so period of tan (2p + 3) isπ/2. If f(x) = |sin x| then f(x + p) = |sin (x + p)| = |–sin x| =sin x Á = f(x). Thus the period of f is π