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)=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-

"If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4), then the value of f'''(1)+f''(2)+f'(3)+f'(4) equals

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: R->R be a continuous function and f(x)=f(2x) is true AAx in R . If f(1)=3, then the value of int_(-1)^1f(f(x))dx is equal to

If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of f(3) is________

If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of f(3) is________

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to

If f(x) is a continuous function such that its value AA x in R is a rational number and f(1)+f(2)=6 , then the value of f(3) is equal to

A function f is defined such that f(1)=2, f(2)=5, and f(n)=f(n-1)-f(n-2) for all integer values of n greater than 2. What is the value of f(4)?