if `f(x) = sin(pi/3[x] - x^2)` then the value of `f(sqrtpi/3)` is

If f(x)=sin((pi)/(3)[x]-x^(2)) then the value of f(sqrt((pi)/(3))) is (where [x] denotes the greatest integer function )

If f(x)=sin3x cos4x , then the value of f''((pi)/(2)) is -

If f(x)= sin""x/2 ,then the value of f''( pi ) is-

If f(x) = x^11 + sin^3(35x) + 111x , then the value of f^(-1)(sin (pi/5)) +f^(-1)(sin (6pi/5)) + f^(-1)((sin pi/7)) + f^(-1)(sin (8pi/7)) is :

Let f (x) = sin x - cos x. Then the value of lim _( x to pi/2) ""(f (x)- f ((pi)/(2)))/(x - (pi)/(2)) is

If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

If f(x)=(sin(3x))/(sin x),x!=n pi, then the range of values of f(x) for real values of x is

Let f(x) =(kcosx)/(pi-2x) if x!=pi/2 and f(x)=3 if x=pi/2 then find the value of k if lim_(x->pi/2) f(x)=f(pi/2)

If f(x)=x^(11)+sin^(3)(35x)+111x, then the value of f^(-1)(sin((pi)/(5)))+f^(-1)(sin(6(pi)/(5)))+f^(-1)(((sin pi)/(7)))+f^(-1)(sin(8(pi)/(7)))

If f(x)=sin(3x)/sin x,x!=npi , then the range of values of f(x) for real values of x is