even/odd

i m getting c

remember that [y] + [-y] = -1 when y is not an integer.

i tried using f(x)+f(-x)=0 to check if its odd...........but concluded that it is not odd.........maybe i m doing some error .....plz provide ur solution

thnx

cos(-x)=cosx ... so lets conc only on Denominator

g(x)=[2xπ]+12
g(-x)=[-2xπ]+12
=-[2xπ]-1+12
=-[2xπ]-12
=-([2xπ]+12)
clearly g(x) is odd

=> f(x) is odd