Home
Class 12
MATHS
f(x)=(cosx)/([(2x)/pi]+1/2), where x is ...

`f(x)=(cosx)/([(2x)/pi]+1/2),` where `x` is not an integral multiple of `pi` and `[dot]` denotes the greatest integer function, is an odd function an even function neither odd nor even none of these

A

an odd function

B

even function

C

neither odd nor even

D

none of these

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

f(x)= cosx/([2x/pi]+1/2) where x is not an integral multiple of pi and [ . ] denotes the greatest integer function, is (a)an odd function (b)an even function (c)neither odd nor even (d)none of these

Which of the following functions is neither odd nor even?

The period of the function f(x)= [6x+7]+cospix-6x , where [dot] denotes the greatest integer function is:

If the function f(x)=[3.5+bsin x] (where [.] denotes the greatest integer function) is an even function, the complete set of values of b is

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

Evaluate: int_(-pi/2)^(2pi)[cot^(-1)x]dx , where [dot] denotes the greatest integer function

The range of the function f(x) =[sinx+cosx] (where [x] denotes the greatest integer function) is f(x) in :

The function, f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

The function f(x)=[x]^(2)+[-x^(2)] , where [.] denotes the greatest integer function, is

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is discontinuous