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atan2(y, x) returns the angle θ between the positive x-axis and the ray from the origin to the point (x, y), confined to (−π, π].Graph of (,) over /. In computing and mathematics, the function atan2 is the 2-argument arctangent.
In recent literature the arctangent series is sometimes called the Mādhava–Gregory series to recognize Mādhava's priority (see also Mādhava series). [3] The special case of the arctangent of is traditionally called the Leibniz formula for π, or recently sometimes the Mādhava–Leibniz formula:
Let (x, y, z) be the standard Cartesian coordinates, and (ρ, θ, φ) the spherical coordinates, with θ the angle measured away from the +Z axis (as , see conventions in spherical coordinates). As φ has a range of 360° the same considerations as in polar (2 dimensional) coordinates apply whenever an arctangent of it is taken. θ has a range ...
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Arctangent Arccotangent.svg - a nice plot of the arctangent and the arccotangent function Image title Arctangent(arctan)-function + Arccotangent(arccot)-function from Wikimedia Commons plot-range: -4.5 to 4.5 plotted with cubic bezier-curves in several intervalls the bezier-controll-points are calculated to give a very accurate result.
PGF is a lower-level language, while TikZ is a set of higher-level macros that use PGF. The top-level PGF and TikZ commands are invoked as TeX macros, but in contrast with PSTricks, the PGF/TikZ graphics themselves are described in a language that resembles MetaPost. Till Tantau is the designer of the PGF and TikZ languages.
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The atan2(y,x)-function is especially implemented in programming languages. It yelds the angle from the x-axis to any point (x,y). The case x=0 is not depicted. That complies with the asymptotes at y=±π/2. Labels are created with embedded "Computer Modern" font.