Question

How would I go about finding the values of x that would make arccot(cot(x)) = x?
Would it be all values within the restriction (0, pi)?

Answer 1

I believe it will be defined on all \(x\).

Answer 2

except x = 0 or x =pi

Answer 3

I guess for large angles, it will reduce it back to the smaller angle

Answer 4

There seem to be two definite intersection points within that restriction when I graph cosx/sinx alongside arctan(1/x), though.