Find the value of `x` for which function are identical. `f(x)=tan^(-1)x+tan^(-1)1/x a n dg(x)=sin^(-1)x+cos^(-1)x`

Find the value of x for which function are identical. f(x)=xa n dg(x)=1/(1//x)

Find the values of x for which the following pair of functions are identical. (i) f(x)=tan^(-1)x+cot^(-1)x " and " g(x)=sin^(-1)x +cos^(-1)x (ii) f(x)=cos(cos^(-1)x) " and " g(x)=cos^(-1)(cosx)

Find the value of x for which function are identical. f(x)=cosxa n dg(x)=1/(sqrt(1+tan^2x))

Find the value of x for which function are identical. f(x)=cosxa n dg(x)=1/(sqrt(1+tan^2x))

Which of the following pairs of functions is/are identical? (a) f(x)="tan"(tan^(-1)x)a n dg(x)="cot"(cot^(-1)x) (b) f(x)=sgn(x)a n dg(x)=sgn(sgn(x)) (c) f(x)=cot^2xdotcos^2xa n dg(x)=cot^2x-cos^2x (d) f(x)=e^(lnsec^(-1)x)a n dg(x)=sec^(-1)x

Find the value of x which satisfy equation 2 tan^(-1) 2x = sin^(-1).(4x)/(1 + 4x^(2))

Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) (cos^(-1) x) lt 1

Find the real values of x for which the function f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x) is defined

f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical functions if

Find the number of solution of the eqution tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)(3x)