How do I convert the Official Valve View Distance formula to solve for FOV?

[randomguy7]

Hi! I've been having trouble with this. On this website:

https://developer.valvesoftware.com/wiki/Field_of_View

viewer distance = (screenwidth)/(2*tan(FOV/2))

it says this formula. How do I solve for FOV? Can somebody convert the formula to:

FOV=?

I'd greatly appreciate it!

[DPI Wizard]

FOV=2*(cot^(-1)*((2*viewer distance)/screenwidth))

 

[randomguy7]

9 hours ago, DPI Wizard said:

FOV=2*(cot^(-1)*((2*viewer distance)/screenwidth))

 

is cot^-1 an inverse cotangent? or is that the cotangent of -1? What does the carrot mean?

Edited June 13, 2022 by randomguy7

[DPI Wizard]

1 minute ago, randomguy7 said:

is cot^-1 an inverse cotangent?

Correct!

[randomguy7]

so it's the inverse cotangent of (2*viewer distance)/screenwidth) times two