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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