1. The problem statement, all variables and given/known data Determine if each of the following is true or false. If false, give a counterexample. Arccot (cot x) = x for all x 2. Relevant equations [tex]cot= 1/tan x[/tex] Principal values of tan are -90 degrees <x <90 degrees Capitalization of trig function indicates a function with restricted domain 3. The attempt at a solution I figured since the cot = 1/tan, it would still have an infinite domain and range. By that same thinking, the Cot would have the same domain and range as the Tan, -90 degrees < x <90 degrees. But, we dont have Cot, we have the inverse of the Cot. So, do I just switch the x and y values? I.e., the x values become infinity, and the y values become -90 degrees < x <90 degrees? If so, does this make the equation true?