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

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

an odd function

even function

neither odd nor even

both even and odd

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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

Watch 3-min video & get full concept clarity