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
even function
c
neither odd nor even
d
both even and odd
answer is A.
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Detailed Solution
fx=cos−x−2xπ+12=cosx−1−2xπ+12(as x is not an integral multiple of π)⇒f−x=−cosx2xπ+12=−f(x)⇒f(x) is an odd function
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