Which pair(s) of function(s) is/are equal? `f(x) = cos(2tan^-1 x) ;g(x)=(1-x^2)/(1+x^2)`

Which of the following pair(s) of function have same graphs? f(x)=(sec x)/(cos x)-(tan x)/(cot x),g(x)=(cos x)/(sec x)+(sin x)/(csc x)

Which of the following pairs of function are identical? a. f(x)=e^(In sec^(-1)x) " and " g(x)=sec^(-1)x b. f(x)=tan(tan^(-1)x) " and " g(x)=cot(cot^(-1)x) c. f(x)=sgn(x) and g(x)=sgn(sgn(x)) d. f(x)=cot^(2)*cos^(2)x " and " g(x)=cot^(2)x-cos^(2)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 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 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 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 values of x of which the following functions are identical. f(x) = cos x and g (x) = 1/(sqrt(1+tan^2x))

Examine whether following pair of functions are identical or not? (i) f(x)=(x^(2)-1)/(x-1) and g(x)=x+1 (ii) f(x)=sin^(2)x+cos^(2)x and g(x)=sec^(2)x-tan^(2)x

Examine whether following pair of functions are identical or not? (i) f(x)=(x^(2)-1)/(x-1) and g(x)=x+1 (ii) f(x)=sin^(2)x+cos^(2)x and g(x)=sec^(2)x-tan^(2)x

Which of the following pair(s) of function have same graphs? (D) f(x)=(sec x)/(sec x)+(cos x)/(cos ecx),g(x)=(2cos^(2)x)/(cot x)