Write the equation for the inverse of the function.
y= Arctan (x+Pie/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)