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English: A unit circle with sine (sin), cosine (cos), tangent (tan), cotangent (cot), versine (versin), coversine (cvs), exsecant (exsec), excosecant (excsc) and (indirectly) also secant (sec), cosecant (csc) as well as chord (crd) and arc labeled as trigonometric functions of angle theta. It is designed as alternative construction to "Circle ...
Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same.
English: This is a graphical construction of the various trigonometric functions from a chord AD (angle θ) of the unit circle centered at O. In addition to the modern trigonometric functions sin (sine), cos (cosine), tan (tangent), cot (cotangent), sec (secant), and csc (cosecant), the diagram also includes a few trigonometric functions that have fallen into disuse: chord, versin (versine or ...
The following other wikis use this file: Usage on bg.wikipedia.org Единична окръжност; Usage on bn.wikipedia.org একক বৃত্ত
Circa 830, Habash al-Hasib al-Marwazi discovered the cotangent, and produced tables of tangents and cotangents. [32] [33] Muhammad ibn Jābir al-Harrānī al-Battānī (853–929) discovered the reciprocal functions of secant and cosecant, and produced the first table of cosecants for each degree from 1° to 90°. [33]
I created it with the following Gnuplot code: set the output; set terminal svg enhanced fname "Times" fsize 18 set output "trigonometric_functions.svg"
The hyperbolic cosecant (red), hyperbolic secant (green) and hyperbolic cotangent (blue) graphed on the same axes. Replaces Csch sech coth.png. Instructions Generated with en:Matplotlib using the script below. Edited using en:Inkscape to fix clipping issues. Date: 10 March 2016: Source: Own work: Author: Fylwind at English Wikipedia: SVG ...
Characterization of the cosine, cotangent, and cosecant functions using certain horizontal lines. SVG redraw of original work. Date: 4 July 2008: Source: en:Image:Unitcirclecodefs.png: Author: en:User:Michael Hardy (original); Pbroks13 (redraw) Other versions: Derivative works of this file: Unitcirclecodefs-2.svg