
On page 837 of the Precalc book (Part 2(c) of example 10.6.5), we have
f(x) = arccot(x/2) + pi
While trying to express this in terms or arctan for plotting purposes, we encounter an issue at x=0.
So, we have to resort to a piecewise function.
It is stated in the text,
"We know g(0) = arccot(0) + pi = pi and neither of the formulas for g involving arctangent will produce this result."
I think there are a couple of issues with the above statement,
 It should be f(0) instead of g(0) in the above statement.
 Also arccot(0) = pi/2, so the correct statement should be
"We know f(0) = arccot(0) + pi = 3pi/2 and neither of the formulas for g involving arctangent will produce this result."
And then in the mathematical expression of the piecewise function g, the middle expression should be changed from "pi, if x = 0" TO "3pi/2, if x = 0"
Thank you.
