Q.

fx=cosx2xπ+12, where x is not an integral multiple of π and [.] denotes the greatest integer function, is

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a

an odd function

b

an even function

c

neither odd nor even

d

none of these

answer is A.

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Detailed Solution

f-x=cos-x-2xπ+12=cosx-1-2xπ+12   As  x  is  not  an  integral  multiple  of  π                           =-cosx2xπ+12=-fxTherefore, f(x) is an odd function.
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