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Write the equation for the inverse of the function.
y= Arctan (x+Pie/2)

Sagot :

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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

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