If `f:[0,a]rarrR`,`f(x)=sin x-sqrt(3)cos x` is one- one function, then the maximum integral value of `a` is

|cos x+sin x|+|cos x-sin x|=2sin x;x in[0,pi], then maximum integral value of x is :

If f:x rarr y defined by f(x)=sqrt(3)sin x+cos x+4 is one-one and onto, then x and y are given by

If f(x)=cos2x+4sin x+5, then the difference of maximum and minimum values of f(x) is

The maximum value of f(x)=a sin x +b cos x is

Range ofthe function f(x)=cos(K sin x) is [-1,1], then the least positive integral value of K will be

Prove that f(x)=sin x+sqrt(3)cos x has maximum value at x=(pi)/(6)

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

Prove that f(x)=sin x+sqrt(3)cos x has maximum value at x=(pi)/(6) .

If [2cos x]+[sin x]=-3, then the range of the function,f(x)=sin x+sqrt(3)cos x in [0,2 pi] (where [1 denotes greatest integer function)