The total number of solution of `sin{x}=cos{x}` (where `{}` denotes the fractional part) in `[0,2pi]` is equal to 5 (b) 6 (c) 8 (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

If total number of solution of sin{y}=cos{y} where {y} denotes the fractional part of y and y in[0,3 pi] is c then total number of integral values of b for which the equation x^(2)+bx+c=0 have imaginary roots.

The period of function 2^({x})+sinpix+3^({x/2})+cos2pix (where {x} denotes the fractional part of (x) is 2 (b) 1 (c) 3 (d) none of these

The number of solutions of 4{x}=x+ [x] where [.] denotes G.I.F and {.} represents fractional part function is equal to

lim_(x rarr1)(x sin{x})/(x-1)," where "{x}" denotes the fractional part of "x," is equal to "

Evaluate int_(0)^(2){x} d x , where {x} denotes the fractional part of x.

If {x} denotes the fractional part of x, then {5^2/8} is:

The total number of solution of cos x=sqrt(1-sin2x) in [0,2 pi] is equal to 2(b)3(c)5(d) none of these

The period of function 2^({x}) +sin pi x+3^({x//2})+cos pi x (where {x} denotes the fractional part of x) is

Period of the function f(x)=cos(cos pi x)+e^({4x}), where {.} denotes the fractional part of x, is