The sum of roots of the equation `cos^(-1)(cosx)=[x],[dot]` denotes the greatest integer function, is `2pi+3` (b) `pi+3` (c) `pi-3` (d) 2`pi-3`

The value of int_(0)^(2pi)[sin 2x(1+cos 3x)]dx , where [t] denotes the greatest integer function, is:

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

The number of solutions of [sin x]=cos x where [.] denotes the greatest integer function in [0,3 pi], is equal to

Prove that int_(-(pi)/(2))^(2 pi)[cot^(-1)x]dx, where [.] denotes the greatest integer function.

The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx](w h e r e[] denotes the greatest integer function), x in [0,2pi] , is 0 (b) 4 (c) infinite (d) 1

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

The range of the function f(x)=cos[x],-(pi)/(4)

The value of int_(0)^((pi)/(3))[sqrt(3)tan x]dx( where [.] denotes the greatest integer function.) is: