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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 angles for …

  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 with 2 equal …

  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 number (an …

  5. Inverse functions: what is the difference between $\tan^ {-1} (x)$ and ...

    Sep 2, 2015 · $\tan^ {-1}$ denotes the inverse tangent function, AKA the arc tangent (the angle the tangent of which is the given number). When applied to an argument, you spell $$\tan^ {-1} …

  6. 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 condition number ...

  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 use atan...

  9. What is arctan (4/3)? - Mathematics Stack Exchange

    Aug 28, 2016 · The use of the −1 1 in tan−1θ t a n 1 θ can be interpreted in two ways. As an inverse function - this is know as arctan 4 3 arctan ⁡ 4 3 and means the angle whose tangent is 4 3 4 3. For …

  10. Find the value of $\arctan (1/3)$ - Mathematics Stack Exchange

    Mar 3, 2017 · How can I calculate $\\arctan\\left({1\\over 3}\\right)$ in terms of $\\pi$ ? I know that $\\tan^2(\\frac{\\pi}{6})= {1\\over3}$ but don't know if that helps in any way.