f(x)=(sin x)/(sqrt(1+tan^(2)x))+(cos x)/(sqrt(1+cot^(2)x))

f(x)=(sin x)/(sqrt(1+tan^2x))+(cos x)/(sqrt(1+cot^2x)) is constant in which of following interval a. \ (0,\ pi/2) b. (pi/2,\ pi) c. (pi,\ (3pi)/2) d. ((3pi)/2,2pi)

The minimum value of the function f(x)=(sin x)/(sqrt(1-cos^(2)x))+(cos x)/(sqrt(1-sin^(2)x))+(tan x)/(sqrt(sec^(2)x-1))+(cot x)/(sqrt(csc^(2)x-1))

if: f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the range of f(x)

if: f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the range of f(x)

if: f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the range of f(x)

if: f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the range of f(x)

if: f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the range of f(x)

If the maximum and minimum values of (sin x)/(sqrt(1-cos^(2)))+(cos x)/(sqrt(1-sin^(2)x))+(tan x)/(sqrt(sec^(2)x-1))+(cot x)/(sqrt(cos ec^(2)-1)) when it is defined are M and m respectively then the values of M-m is

If -1

f(x)=sqrt(1-sin^(2)x)+sqrt(1+tan^(2)x) then