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  1. 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.

  2. 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 …

  3. 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 …

  4. 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 …

  5. 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 …

  6. Are $\\operatorname{asin}$, $\\operatorname{acos}$ and …

    Jun 8, 2020 · 0 However I've also seen asin asin, acos acos and atan atan, albeit far less frequently. Is the third style I mentioned considered acceptable as standard notation for the …

  7. 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.

  8. 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 …

  9. trigonometry - Why is the inverse tangent function not equivalent …

    Jun 10, 2016 · The reason that it isn't true is that, regrettably, the notation is not consistent. For this reason, many people avoid using tan−1 tan 1 and use arctan arctan instead, and so on for …

  10. 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' …