Modified tangent function
I remember reading once of a modified arctangent function which was suited to be a chart on the circle. It should be defined something like
$$theta(x,y)=begin{cases}
arctan(frac{y}{x}) & x>0\
pi/2 & (x,y)=(0,1)\
-pi/2 & (x,y)=(0,-1)\
pi+arctan(frac{y}{x}) & x<0, y>0\
-pi+arctan(frac{y}{x}) & x<0, y<0
end{cases}$$
Can somebody remind me of its name?
trigonometry coordinate-systems
asked Nov 20 '18 at 22:26
Iván Mauricio Burbano
29218
add a comment |
I remember reading once of a modified arctangent function which was suited to be a chart on the circle. It should be defined something like
$$theta(x,y)=begin{cases}
arctan(frac{y}{x}) & x>0\
pi/2 & (x,y)=(0,1)\
-pi/2 & (x,y)=(0,-1)\
pi+arctan(frac{y}{x}) & x<0, y>0\
-pi+arctan(frac{y}{x}) & x<0, y<0
end{cases}$$
Can somebody remind me of its name?
trigonometry coordinate-systems
asked Nov 20 '18 at 22:26
Iván Mauricio Burbano
29218
add a comment |
I remember reading once of a modified arctangent function which was suited to be a chart on the circle. It should be defined something like
$$theta(x,y)=begin{cases}
arctan(frac{y}{x}) & x>0\
pi/2 & (x,y)=(0,1)\
-pi/2 & (x,y)=(0,-1)\
pi+arctan(frac{y}{x}) & x<0, y>0\
-pi+arctan(frac{y}{x}) & x<0, y<0
end{cases}$$
Can somebody remind me of its name?
trigonometry coordinate-systems
asked Nov 20 '18 at 22:26
Iván Mauricio Burbano
29218
I remember reading once of a modified arctangent function which was suited to be a chart on the circle. It should be defined something like
$$theta(x,y)=begin{cases}
arctan(frac{y}{x}) & x>0\
pi/2 & (x,y)=(0,1)\
-pi/2 & (x,y)=(0,-1)\
pi+arctan(frac{y}{x}) & x<0, y>0\
-pi+arctan(frac{y}{x}) & x<0, y<0
end{cases}$$
Can somebody remind me of its name?
trigonometry coordinate-systems
trigonometry coordinate-systems
asked Nov 20 '18 at 22:26
Iván Mauricio Burbano
29218
asked Nov 20 '18 at 22:26
Iván Mauricio Burbano
29218
asked Nov 20 '18 at 22:26
Iván Mauricio Burbano
29218
asked Nov 20 '18 at 22:26
Iván Mauricio Burbano
29218
asked Nov 20 '18 at 22:26
Iván Mauricio Burbano
29218
29218
add a comment |
add a comment |
1 Answer
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It appears to be known as $atan2(y,x)$ (the two-argument arctangent function).
https://en.wikipedia.org/wiki/Atan2
answered Nov 20 '18 at 22:30
Eevee Trainer
4,4771632
add a comment |
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1 Answer
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It appears to be known as $atan2(y,x)$ (the two-argument arctangent function).
https://en.wikipedia.org/wiki/Atan2
answered Nov 20 '18 at 22:30
Eevee Trainer
4,4771632
add a comment |
It appears to be known as $atan2(y,x)$ (the two-argument arctangent function).
https://en.wikipedia.org/wiki/Atan2
answered Nov 20 '18 at 22:30
Eevee Trainer
4,4771632
add a comment |
It appears to be known as $atan2(y,x)$ (the two-argument arctangent function).
https://en.wikipedia.org/wiki/Atan2
answered Nov 20 '18 at 22:30
Eevee Trainer
4,4771632
It appears to be known as $atan2(y,x)$ (the two-argument arctangent function).
https://en.wikipedia.org/wiki/Atan2
answered Nov 20 '18 at 22:30
Eevee Trainer
4,4771632
answered Nov 20 '18 at 22:30
Eevee Trainer
4,4771632
answered Nov 20 '18 at 22:30
Eevee Trainer
4,4771632
answered Nov 20 '18 at 22:30
Eevee Trainer
4,4771632
4,4771632
add a comment |
add a comment |
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