File:Trig functions on unit circle.svg

Original file (SVG file, nominally 608 × 560 pixels, file size: 3 KB)

This file is from a shared repository and may be used by other projects. The description on its file description page there is shown below.

Summary

DescriptionTrig functions on unit circle.svg
English: Unit circle showing sine and cosine functions for an oblique angle θ > π / 2 {\displaystyle \theta >\pi /2} .
বাংলা: যেকোনো কোণ θ {\displaystyle \theta } ও একক বৃত্তের ওপর অবস্থিত বিন্দু ( x , y ) = ( cos ⁡ θ , sin ⁡ θ ) {\displaystyle (x,y)=(\cos \theta ,\sin \theta )} এর জন্য পিথাগোরাসীয় অভেদ cos 2 ⁡ θ + sin 2 ⁡ θ = 1 {\displaystyle \cos ^{2}\theta +\sin ^{2}\theta =1} এর দৃশ্যমান প্রমাণ। এই অভেদটি x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} সমীকরণকে মেনে চলে।
Cymraeg: Prawf gweledol o gyfathiant Pythagoraidd. Ar gyfer unrhyw ongl θ {\displaystyle \theta } , mae'r pwynt ( cos ⁡ ( θ ) , sin ⁡ ( θ ) {\displaystyle \cos(\theta ),\sin(\theta )} ) yn gorwedd ar y cylch, sy'n bodloni yr hafaliad x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} . Felly, cos 2 ⁡ ( θ ) + sin 2 ⁡ ( θ ) = 1 {\displaystyle \cos ^{2}(\theta )+\sin ^{2}(\theta )=1} .
Français : Point P(x,y), sur le cercle de rayon 1.
Galego: Proba visual da identidade pitagórica. Para calquera ángulo θ {\displaystyle \theta } , o punto ( cos ⁡ ( θ ) , sen ⁡ ( θ ) {\displaystyle \cos(\theta ),\operatorname {sen}(\theta )} ) cae no círculo unidade, que satisfai a ecuación x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} . Entón, cos 2 ⁡ ( θ ) + sen 2 ⁡ ( θ ) = 1 {\displaystyle \cos ^{2}(\theta )+\operatorname {sen} ^{2}(\theta )=1} .
Bahasa Indonesia: Titik P (x, y) pada lingkaran satuan dengan sudut tumpul θ > π / 2 {\displaystyle \theta >\pi /2} .
Bahasa Melayu: Bukti visual identiti Pythagoras: untuk sebarang sudut θ {\displaystyle \theta } , titik ( x , y ) = ( cos ⁡ θ , sin ⁡ θ ) {\displaystyle (x,y)=(\cos \theta ,\sin \theta )} terletak pada bulatan unit, yang memenuhi persamaan x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} . Oleh itu, cos 2 ⁡ θ + sin 2 ⁡ θ = 1 {\displaystyle \cos ^{2}\theta +\sin ^{2}\theta =1} .
தமிழ்: ஓரலகு வட்டத்தின் மீது ஒரு விரிகோணத்தில் ( θ > π / 2 {\displaystyle \theta >\pi /2} ) அமையும் புள்ளி P(x,y).
Tiếng Việt: Bằng chứng trực quan về đồng nhất thức Pythagore. Với mọi góc, Điểm ( cos ⁡ ( θ ) {\displaystyle \cos(\theta )} , sin ⁡ ( θ ) {\displaystyle \sin(\theta )} ) nằm trên đường tròn đơn vị, thỏa mãn phương trình x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} . Do đó, cos 2 ⁡ ( θ ) + sin 2 ⁡ ( θ ) = 1 {\displaystyle \cos ^{2}(\theta )+\sin ^{2}(\theta )=1} .
العربية: النقطة P(x,y) على دائرة نصف قطرها 1 تصنع زاوية منفرجة θ > π/2.
فارسی: اثبات بصری اتحاد فیثاغورس. برای هر زاویه θ، نقطه‏( cos ⁡ ( θ ) , sin ⁡ ( θ ) {\displaystyle \cos(\theta ),\sin(\theta )} )‎ به روی دایره واحد ای میفتد که معادله x 2 + y 2 = 1 {\displaystyle x^{2}+y^{2}=1} را ارضاء می‌کند؛ بنابراین cos 2 ⁡ ( θ ) + sin 2 ⁡ ( θ ) = 1 {\displaystyle \cos ^{2}(\theta )+\sin ^{2}(\theta )=1} .
עברית: במשולש זה, סינוס הזווית A שווה a c {\displaystyle {\frac {a}{c}}} .
Date 5 June 2010 (original upload date)
Source Own work based on: Trig functions on unit circle.PNG by Brews ohare
Author Vectorization: Alhadis
SVG development
InfoField
 The SVG code is valid.
  This vector image was created with Adobe Illustrator, and then manually edited.
This file is saved in human-editable plain text format. Any editing of the image or creation of any derivative work should be performed using a text editor. Please do not upload edits saved or exported with Inkscape or similar vector graphics editors, as well as with automated tools such as SVG Translate.
This file supersedes the file Trig functions on unit circle.PNG. It is recommended to use this file rather than the other one.

العربية ∙ Dansk ∙ Deutsch ∙ English ∙ español ∙ فارسی ∙ français ∙ magyar ∙ Bahasa Indonesia ∙ italiano ∙ 日本語 ∙ 한국어 ∙ македонски ∙ മലയാളം ∙ Nederlands ∙ polski ∙ prūsiskan ∙ português do Brasil ∙ русский ∙ slovenščina ∙ svenska ∙ 中文 ∙ 中文（简体） ∙ 中文（繁體） ∙ +/−

minor quality

Licensing

w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution:
Brews ohare
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.
https://creativecommons.org/licenses/by-sa/3.0CC BY-SA 3.0 Creative Commons Attribution-Share Alike 3.0 truetrue

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

5 June 2010

media type

image/svg+xml

data size

3,122 byte

height

560 pixel

width

608 pixel

checksum

dc4b31ed089d608a164c11940f2afd117299cba6

determination method or standard: SHA-1

File history

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

Date/TimeThumbnailDimensionsUserComment
current21:24, 16 February 2023Thumbnail for version as of 21:24, 16 February 2023608 × 560 (3 KB)(username removed)

The following page uses this file:

Retrieved from "https://en.bharatpedia.org/wiki/File:Trig_functions_on_unit_circle.svg"