Let f(x) = cos(tan^(-1) ( sin ( cot^(-1)...

Let `f(x) = cos(tan^(-1) ( sin ( cot^(-1)x)))`. The simplest form of f(x) can be written as `((x^(2) +A)/(x^(2) +B))^(1//2)` . Then the value of `(A + B) ` is ………………

Verified by Experts

The correct Answer is:

3

Similar Questions

Explore conceptually related problems

If cos(2tan^(-1)x)=1/2 , then the value of x is ___

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is

f(x)= x^(2)-3x + 4 If f(x)= f(2x+1) find the value of x .

Let f(x)= sqrt(1+x^(2)) then,

Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x . Then the sum of the maximum and minimum values of f(x) is

If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

Let f(x) = (x+1)^(2) - 1, (x ge - 1) . Then, the set S = {x : f(x) = f^(-1)(x)} is

f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x then range of f(x) is ______

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x) , then period of f(x) can be