Calculates the inverse trigonometric tangent function (arctangent). Angle units are in radians. The function is defined for complex values. Phase of a complex number is evaluated between - π and π . If x is complex, or abs(x) > 1, the following equation is used:
$$ \text{arctan(x)} = \frac{i}{2}\text{ln}(\frac{i+x}{i-x}) $$
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Syntax |
Description |
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out = atan(x); |
Returns the complex arctangent of x. The range of atan is - π /2 to π /2. |
Example
Plot atan(y/x) for - π ≤ theta≤ π .
theta=linspace(-pi,pi,1000); x=cos(theta); y=sin(theta); plot(theta*180/pi,atan(y/x)*180/pi,"theta (deg)","atan(y/x) (deg)","atan(y/x)"); plot(y/x,atan(y/x)*180/pi,"y/x","atan(y/x) (deg)","atan(y/x)");
Calculate atan( π /4 + i).
x=pi/4+1i; ?atan(x); result: 0.972497+0.50321i
See Also
List of commands , atan2 , tan