y=3cot(x+pi/2)

set up inequality:

0<x+pi/2<pi/2 = -pi/2<x<0

asymptotes = -pi/2 and 0

x-intercept of graph/line = (-pi/2+0)/2=-pi/4

so it's -pi/4 but the back of the book says its at 0 for the first period of where the line intercept at the x-axis!? i'm so confused, i don't see my errors.