Answer:
y = tan x - pi/2
Step-by-step explanation:
y = arctan(x+pi/2) use that tan y = x is y= arctan x
tan y = x+pi/2; change x with y and find y
tan x= y +pi/2; subtract pi/2 from both sides
-pi/2 + tan x = y
y= tan x -(pi/2) is the inverse function
you can also write it as
y = 1/2(2 tan x -pi)
y = tan x - pi/2
