Let `f(x)=cos sqrt(p)x` where `P=[a]` (integral part).If the period of `f(x)` is `pi` then `a in`

Let f(x)=cos sqrt(x) where p=[a] where [x] is the integral part of x if the period of f(x) is pi, then a in

Let f(x)=2x-{(pi)/(n)} and g(x)=cos x where {.} denotes fractional part function, then period of gof (x) is -

The period of f(x)=cos3x+sin sqrt(3)x is

Let f(x)=[x] +sqrt({x}) , where [.] denotes the integral part of x and {x} denotes the fractional part of x. Then f^(-1)(x) is

Let f(x)=sin sqrt([a])x (where [1 denotes the greatest integer function).If f is periodic with fundamental period pi, then a belongs to

Let f(x)=cos(sqrt([t])pi x) has fundamental period 1 then

Let f(x)=sqrt(cos x). Then dom (f ) =?

Let f(x)=[x]cos ((pi)/([x+2])) where [ ] denotes the greatest integer function. Then, the domain of f is

The functions f and g are given by f(x)=(x) the fractional part of x and g(x)=(1)/(2)sin[x]pi where Ix] denotes the integral part of x, then range of gof(x) is