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The two figures below show 3D views of respectively atan2(y, x) and arctan( y / x ) over a region of the plane. Note that for atan2(y, x), rays in the X/Y-plane emanating from the origin have constant values, but for arctan( y / x ) lines in the X/Y-plane passing through the origin have constant
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[1] [2] All functions use floating-point numbers in one manner or another. Different C standards provide different, albeit backwards-compatible, sets of functions. Most of these functions are also available in the C++ standard library, though in different headers (the C headers are included as well, but only as a deprecated compatibility feature).
In computer programming languages, the inverse trigonometric functions are often called by the abbreviated forms asin, acos, atan. [6] The notations sin −1 (x), cos −1 (x), tan −1 (x), etc., as introduced by John Herschel in 1813, [7] [8] are often used as well in English-language sources, [1] much more than the also established sin [−1 ...
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In engineering problems, especially in the area of solar energy application, the solar azimuth angle, which can be computed from the x- and y-component of the vector pointing to the Sun using the atan2 function, normally measures from due North (positive y-axis) or due South (negative y-axis), this can be achieved by using atan2(x, y) or atan2 ...
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CORDIC (coordinate rotation digital computer), Volder's algorithm, Digit-by-digit method, Circular CORDIC (Jack E. Volder), [1] [2] Linear CORDIC, Hyperbolic CORDIC (John Stephen Walther), [3] [4] and Generalized Hyperbolic CORDIC (GH CORDIC) (Yuanyong Luo et al.), [5] [6] is a simple and efficient algorithm to calculate trigonometric functions, hyperbolic functions, square roots ...