" questions 21."f(x)=(1)/(2-cos3x)

If f:R rarr R is defined by f(x)=(1)/(2-cos3x) for each x in R then the range of f is

The difference between the greatest and least value of function f(x)=cos x+(1)/(2)cos2x-(1)/(3)cos3x is

If f : R -> R is defined by f(x) = 1 /(2-cos3x) for each x in R then the range of f is

If f : R rarr R is defined by f(x)=1/(2-cos3x) for each x in R , then the range of f is

The function f(x)=(cosx+isinx)(cos3x+isin3x)...{cos(2n-1)x+isin(2n-1)x} , then f'(x) is equal to

The difference between the greatest and the least value of the function f (x)=cos x + (1)/(2) cos 2x -(1)/(3)cos 3x

In function f(x)=cos^(-1)x+cos^(-1)(x/2+(sqrt(3-3x^2))/2) , then Range of f(x) is [pi/3,(10pi)/3]] Range of f(x) is [pi/3,5pi] f(x) is one-one for x in [-1,1/2] f(x) is one-one for x in [1/2,1]

Find the domain of the following following functions: (a) f(x)=(sin^(-1))/(x) (b) f(x)=sin^(-1)(|x-1|-2) (c ) f(x)=cos^(-1)(1+3x+2x^(2)) (d ) f(x)=(sin^(-1)(x-3))/(sqrt(9-x^(2))) (e ) f(x)="cos"^(-1)((6-3x)/(4))+"cosec"^(-1)((x-1)/(2)) (f) f(x)=sqrt("sec"^(-1)((2-|x|)/(4)))

If intsqrt((cos x-cos^(3)x)/(1-cos^(3)x))dx=f(x)+c , then f(x)=