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File:Atan2 differs from arctan.png

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    English: The arctangent function can be used to find the angle of a point (x, y), using arctan(y/x). Unfortunately, because y/x is the same as (−y)/(−x), this conflates pairs of opposite points, and does not return the intended angle whenever x is negative. The 2-argument arctangent function does not have this problem. When x < 0, the two-argument arctangent differs from arctan. If y > 0, by −π radians, or if y < 0, by π radians. When x > 0, the two functions have the same result.
    Date
    Source Own work, plotted with Desmos https://www.desmos.com/calculator/tx4ya4kk1h
    Author Jacob Rus
    Other versions File:Vector version of "Atan2 differs from arctan".svg, a spinoff vector version which makes a number of aesthetic changes.

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    When ''x'' < 0, atan2 differs from arctan by π radians.

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    6 June 2024

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    Date/TimeThumbnailDimensionsUserComment
    current17:28, 6 June 2024Thumbnail for version as of 17:28, 6 June 20241,262 × 1,102 (139 KB)JacobolusUploaded own work with UploadWizard

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