
What are "tan" and "atan"? - Mathematics Stack Exchange
May 4, 2015 · 0 atan stands for "arc tangent." It is the inverse function of tangent - this means it undoes the tangent function. So atan (tan (30)) = 30.
Confusion about atan vs atan2 - Mathematics Stack Exchange
Feb 29, 2024 · Here is a graph of atan(m) and the graph of acos(1/sqrt(1+m^2)) Both produce identical values for positive slope m, but the second one returns only the positive branch of …
What is the Arctangent of Tangent? - Mathematics Stack Exchange
It is true that tan arctan x = x tan arctan x = x, for every x x. The converse is not true and it cannot be, because the tangent is not an injective function. Recall that arctan x arctan x returns a …
How does atan (1) * 4 equal PI? - Mathematics Stack Exchange
How does this give PI? On the second point, if I understand atan correctly, it takes a ratio of two sides, and returns the corresponding angle. That means that atan(1) is referring a situation …
Relative condition number of $x \mapsto \operatorname {atan} (x ...
Jun 9, 2022 · I'm trying to think through the sensitivity of atan2 to errors in its inputs and I've run into a disconnect that I don't quite understand. I know that you can compute the relative …
Are $\operatorname {asin}$, $\operatorname {acos}$ and …
Jun 8, 2020 · The calculator I have used since high school uses ASIN, ACOS, and ATAN: On the other hand, TI and Casio calculators appear to use the $\operatorname {trig}^ {-1}$ notation. …
trigonometry - How can one understand the ATAN2 () function for ...
Apr 3, 2018 · @Ahmed ATAN2 is just a version of ATAN that accepts the numerator and denominator separately so that it can select the correct quadrant for the angle.
trigonometry - How to use atan2? - Mathematics Stack Exchange
I've looked at Wikipedia and don't really understand what I'm reading or how to implement atan2(). I was hoping someone could point me to a better resource or give me an example of how to …
Inverse functions: what is the difference between
Sep 2, 2015 · I’ve never really been taught about inverse functions, and I figured this is a pretty simple question, but I couldn’t find any explanation in my math textbook about this. What is the …
How to fix discontinuities in the - Mathematics Stack Exchange
Aug 5, 2022 · As an example I have taken some smooth curve in the plane that avoids the origin, calculated the atan along the curve ( taking values in (−π, π] (π, π] and giving the 'saw-tooth' …