`f(x) = 2^(cos^4 pix+x-[x]+cos^2 pix),` where `[.]` denotes the greatest integer function.

If f(x)=[2x], where [.] denotes the greatest integer function,then

If f(x)= cos [ pi^(2)] x+ cos[ -pi^(2)] x where [x] denotes the greatest integer function, then show that f(-pi)=0

If f(x)= cos [ pi^(2)] x+ cos[ -pi^(2)] x where [x] denotes the greatest integer function, then show that f((pi)/(4)) =(1)/(sqrt(2))

If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest integer function, then the value of f((pi)/(2)) is-

If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest integer function, then the value of f((pi)/(2)) is-

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

The period of the function f(x) = [6x + 7] + cos pix - 6x , where [.] denotes the greatest integer function, is a)3 b) 2pi c)2 d)none of these

f(x) = lim_(n->oo) sin^(2n)(pix)+[x+1/2] , where [.] denotes the greatest integer function, is

The function f(x)=lim_(nrarroo)cos^(2n)(pix)+[x] is (where, [.] denotes the greatest integer function and n in N )

Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer function. Then the