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Q.

A function out of the following whoseperiod is not π is

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a

sin2⁡x

b

cos2⁡x

c

tan⁡(2x+3)

d

y=|sin⁡x|

answer is C.

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Detailed Solution

y=sin2⁡x=12[1−cos⁡2x] Since period of cos⁡x is 2π so period of cos⁡2x is π. y=1+cos2⁡x=1+12(1+cos⁡2x) 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
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