A continuous, even periodic function f with period 8 is such that f(0) `=0.f(1)=2.f(2)=1f(3)=2.f(4)=3.` then the value of `cos^-1(cos(f(9)+2f(20)))` is equal to

A continuous,even periodic function f with period 8 is such that f(0)quad =0.f(1)=2.f(2)=1f(3)=2.f(4)=3 then the value of cos^(-1)(cos(f(9)+2f(20))) is equal to

A continuous, even periodic function f with period 8 is such that f(0)=0,f(1)=-2,f(2)=1,f(3)=2,f(4)=3, then the value of tan^(-1) tan{f(-5)+f(20)+cos^(-1)(f(-10))+f(17)} is equal to

If f(x) is an odd periodic function with period 2, then f(4) equals to-

Iff is a function such that f(0)=2,f(1)=3,f(x+2)=2f(x)-f(x+1), then f(5) is

Let 'f' be an even periodic function with period ' 4 ' such that f(x)=2^(x)-1,0<=x<=2. The number of solutions of the equation f(x)=1 in [-10,20] are

If f(x) is a continuous function in [0,pi] such that f(0)=f(x)=0, then the value of int_(0)^(pi//2) {f(2x)-f''(2x)}sin x cos x dx is equal to

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals