File:Circle-trig6.svg

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This image was selected as picture of the month on the Mathematics Portal for August 2011.

Summary

Description

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 versed sine), exsec (exsecant), cvs (coversine), and excsc (excosecant).

Date

9 May 2006 (upload date)

Source

Own work based on: Circle-trig6.png

Author

Original:

Steven G. Johnson at English Wikipedia

Vector:

Limaner

Other versions

Derivative works of this file:

SVG development

The source code of this SVG is invalid due to 7 errors.

This W3C-invalid trigonometry was created with an unknown SVG tool.

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Licensing

I, the copyright holder of this work, hereby publish it under the following license:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.

	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.

	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.CC BY-SA 3.0truetrue

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Dimensions	User	Comment
current	21:18, 12 October 2017	1,250 × 800 (6 KB)	ColinKinloch	bigger, in preview of hd devices show like thumb, without doubling the file size
	09:28, 30 March 2016	1,250 × 800 (10 KB)	Webysther	bigger, in preview of hd devices show like thumb
	01:57, 18 November 2015	338 × 235 (5 KB)	Matthiaspaul	- Added missing point H - Fixed misleading id strings in source code
	20:13, 14 November 2015	338 × 235 (5 KB)	Matthiaspaul	Source formatting only
	15:43, 14 November 2015	338 × 235 (5 KB)	Matthiaspaul	- Changed label "chord" to "crd" to avoid potential confusion. What is illustrated in this image is the trigonometric function crd(theta), the chord between D and A. This must be distinguished from the more general geometrical concept of chords, which...
	23:15, 11 November 2015	338 × 235 (5 KB)	Matthiaspaul	- Fixed "cot" color to use same color for line and label - Added missing "G" label - Dashed \|OB and \|BC as these are only assist lines
	20:07, 11 November 2015	338 × 235 (5 KB)	Matthiaspaul	Slightly further moved "csc" label for readability
	20:04, 11 November 2015	338 × 235 (5 KB)	Matthiaspaul	Slightly further moved "excsc" label for readability
	19:56, 11 November 2015	338 × 235 (5 KB)	Matthiaspaul	- Moved radius "1" from \|OB to \|OA as this is more logical (B is only an assistant point) - Removed double "sin" label from the \|OF as it causes confusion. The fact that this line has the same length as \|CA is still clear from using the same color (red...
	21:44, 22 February 2011	338 × 235 (5 KB)	Taktoa	Added metadata, normalized colors to SVG standards, added chord function, fixed tabbing