What are "tan" and "atan"? - Mathematics Stack Exchange
2017年1月14日 · A quick google search of "java atan" would tell you that it stands for "arctangent", which is the inverse of tangent. Tangent is first understood as a ratio of non-hypotenuse sides of a right triangle.
How does atan(1) * 4 equal PI? - Mathematics Stack Exchange
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 length sides. I think I'm misunderstanding something though, as atan(1) gives me 0.7853981633974483, which seems like a very tiny angle.
Confusion about atan vs atan2 - Mathematics Stack Exchange
2024年2月29日 · φ = atan(dy,dx) converts the direction defined by (dx,dy) into the bearing angle. If the direction points to the 2nd or 3rd quadrants (based on the signs of the arguments) then the angle result will vary between -π and +π. Some environments define φ = atan(dx,dy) so care must be taken to get the correct order of arguments.
What is the Arctangent of Tangent? - Mathematics Stack Exchange
This is probably just me misunderstanding trig properties. I remember from my trig days that $\\tan(\\arctan(x)) = x$ But I can't remember if that holds the other way. Can someone help me out? Is this
trigonometry - How can one understand the ATAN2() function for ...
2018年4月3日 · $\begingroup$ @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. $\endgroup$ – amd Commented Apr 3, 2018 at 1:48
trigonometry - Computing $\arctan x$ in terms of a certain …
2015年5月3日 · atan(x) = asin(x) acos(x), or something else similar (you get the idea). Context: There's a game that involves trigonometry and offers a limited in-game scripting environment, which I'm trying to use to semi-automate the math.
Relative Condition Number of Atan (x) vs Atan2 (y,x)
2022年6月9日 · I believe the math here but I'm struggling to interpret the results in a consistent way, since atan2 is fundamentally just atan with logic to interpret the sign correctly. Why does atan2 seem to get very sensitive near zero and atan doesn't? Edit: Made atan2 and related equations consistently (y,x) order.
Is there any formula for $\operatorname {arctan} { (a+b)}$
2021年11月2日 · Is there any formula for $$\operatorname{arctan}{(a+b)}$$ I know couple of formulas for trigonometric functions.
Are $\\operatorname{asin}$, $\\operatorname{acos}$ and …
2020年6月8日 · 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. That being said, my feeling is that the use of $\operatorname{atrig}$ in purely mathematical writing is somewhat uncommon. I can't recall ever having seen this abbreviated ...
Taylor series expansion of arctan (x) around the point 0
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