File:Unit_circle_angles.svg
維基百科,自由的 encyclopedia
![File:Unit circle angles.svg](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Unit_circle_angles.svg/600px-Unit_circle_angles.svg.png)
此 SVG 檔案的 PNG 預覽的大小:600 × 600 像素。 其他解析度:240 × 240 像素 | 480 × 480 像素 | 768 × 768 像素 | 1,024 × 1,024 像素 | 2,048 × 2,048 像素 | 720 × 720 像素。
原始檔案 (SVG 檔案,表面大小:720 × 720 像素,檔案大小:238 KB)
目次
摘要
描述Unit circle angles.svg |
العربية: بعض الزوايا الشائعة موضحة علي دائرة الوحدة.مقدرة بالدرجات.مع قيم الجيب وجيب التمام المناظرة لها(جا θ, جتا θ). الجيوب وجيوب التمام حول دائرة الوحدة.
Беларуская: Значэнні косінуса і сінуса на акружнасці.
Bosanski: Koordinate na jediničnom krugu.
Català: La circumferència goniomètrica. Valors del sinus i del cosinus d'uns quants angles representats en la circumferància goniomètrica. Constants trigonomètriques exactes dels angles múltiples de 30 i de 45 graus representades en la circumferència goniomètrica.
Čeština: Jednotková kružnice.
Deutsch: Punkte auf dem Einheitskreis.
English: Some common angles (multiples of 30 and 45 degrees) and the corresponding sine and cosine values shown on the Unit circle. The angles (θ) are given in degrees and radians, together with the corresponding intersection point on the unit circle, (cos θ, sin θ).
Esperanto: La unuobla cirklo. La anguloj sur la unuobla cirklo kiuj estas obloj de 30 kaj 45 gradoj.
Español: Valores de los ángulos más comunes y las coordenadas correspondientes sobre la circunferencia goniométrica.
Suomi: Yksikköympyrä. Trigonometristen funktioiden suhteet yksikköympyrässä.
Français : Quelques angles communs (θ) sur le cercle unité. Les angles sont indiqués en degrés et en radians, ainsi que leur intersection avec le cercle unité (cos θ, sin θ).
עברית: ערכי הפונקציה לזוויות שונות על מעגל היחידה. הקבועים הבסיסיים על מעגל היחידה הם כפולות של 30 ו-40 מעלות.
Hrvatski: Sinusi i kosinusi u jediničnoj kružnici.
Italiano: Valori principali (coseno, seno).
日本語: 単位円とサイン・コサインの値.
Norsk bokmål: Cosinus og sinus på enhetssirkelen. Eksakte verdier av sinus og cosinus på enhetssirkelen.
Русский: Кратные 30 и 45 градусам углы и их значения для синуса и косинуса на единичной окружности. Угол θ представлен в виде градусов и радиан
தமிழ்: ஓரலகு வட்டம். ஓரலகு வட்டத்தில் குறிப்பிட்ட புள்ளிகளின் அச்சுதூரங்கள்.
Tagalog: Ang mga cosine at sine sa loob ng isang bilog na unit.
Türkçe: birim çember. |
日期 | |
來源 | 個人作品,使用: Eukleides |
作者 | Gustavb (留言 · 貢獻) |
其他版本 |
Derivative works of this file: Unit circle angles color.svg: ![]() |
SVG開發 InfoField | ![]() 本vector image使用不明SVG工具創作。 |
授權條款
Public domainPublic domainfalsefalse |
![]() |
由於本圖像只屬於簡單的幾何圖形圖片,而其完全包含公眾財產資訊,且不存在原始創作人,因此著作權不適用於此並歸公有領域所有。 | ![]() |
Source
Unit_circle_angles.euk (Eukleides source)
box(-1.65, -1.65, 1.7, 1.7, 2.2) O = point(0,0); % origo % Axis X1 = point(-1.7, 0); X2 = point(1.6, 0) Y1 = point(0, -1.7); Y2 = point(0, 1.55) % Unit circle C = circle(O, 1) H1 = circle(O,.48); E1 = circle(O,.65); F1 = circle(O,.81); I1 = circle(O,0.91) H2 = circle(O,.44); E2 = circle(O,.65); F2 = circle(O,.75); I2 = circle(O,0.92) H3 = circle(O,.44); E3 = circle(O,.67); F3 = circle(O,.74); I3 = circle(O,0.91) H4 = circle(O,.48); E4 = circle(O,.70); F4 = circle(O,.75); I4 = circle(O,0.93) thickness(.25) color "blue" draw(segment(H1,30:)); draw(point(E1,30:), point(F1,30:)); draw(point(I1,30:), point(C,30:)); draw(segment(H1,45:)); draw(point(E1,45:), point(F1,45:)); draw(point(I1,45:), point(C,45:)); draw(segment(H1,60:)); draw(point(E1,60:), point(F1,60:)); draw(point(I1,60:), point(C,60:)); draw(segment(H2,120:));draw(point(E2,120:),point(F2,120:));draw(point(I2,120:),point(C,120:)); draw(segment(H2,135:));draw(point(E2,135:),point(F2,135:));draw(point(I2,135:),point(C,135:)); draw(segment(H2,150:));draw(point(E2,150:),point(F2,150:));draw(point(I2,150:),point(C,150:)); draw(segment(H3,210:));draw(point(E3,210:),point(F3,210:));draw(point(I3,210:),point(C,210:)); draw(segment(H3,225:));draw(point(E3,305:),point(F3,225:));draw(point(I3,225:),point(C,225:)); draw(segment(H3,240:));draw(point(E3,240:),point(F3,240:));draw(point(I3,240:),point(C,240:)); draw(segment(H4,300:));draw(point(E4,305:),point(F4,300:));draw(point(I4,300:),point(C,300:)); draw(segment(H4,315:));draw(point(E4,315:),point(F4,315:));draw(point(I4,315:),point(C,315:)); draw(segment(H4,330:));draw(point(E4,330:),point(F4,330:));draw(point(I4,330:),point(C,330:)); color(blue) thickness(1) draw(segment(X1,X2), full, arrow) draw(segment(Y1,Y2), full, arrow) draw("$y$",Y2,.15,-30:); draw("$x$",X2,.15,-130:) thickness(2.6) draw(C); g000 = point(C, 000:); draw(g000) g030 = point(C, 030:); draw(g030) g045 = point(C, 045:); draw(g045) g060 = point(C, 060:); draw(g060) g090 = point(C, 090:); draw(g090) g120 = point(C, 120:); draw(g120) g135 = point(C, 135:); draw(g135) g150 = point(C, 150:); draw(g150) g180 = point(C, 180:); draw(g180) g210 = point(C, 210:); draw(g210) g225 = point(C, 225:); draw(g225) g240 = point(C, 240:); draw(g240) g270 = point(C, 270:); draw(g270) g300 = point(C, 300:); draw(g300) g315 = point(C, 315:); draw(g315) g330 = point(C, 330:); draw(g330) % Draw labels draw("\scalebox{.9}{$(1,0)$}",g000,.08,32:) draw("\scalebox{.9}{$(0,1)$}",g090,.1,55:) draw("\scalebox{.9}{$(-1,0)$}",g180,.1,152:) draw("\scalebox{.9}{$(0,-1)$}",g270,.1,308:) draw("\rput{30}{$\big(\!{\sqrt 3 \over 2},{1 \over 2}\big)$}",g030,.3,30:) draw("\rput{45}{$\big(\!{\sqrt 2 \over 2},\!{\sqrt 2 \over 2}\big)$}",g045,.35,45:) draw("\rput{60}{$\big({1 \over 2},\!{\sqrt 3 \over 2}\big)$}",g060,.3,60:) draw("\rput{300}{$\big(\!{-1 \over 2},\!{\sqrt 3 \over 2}\big)$}",g120,.35,120:) draw("\rput{315}{$\big(\!{-\sqrt 2 \over 2},\!{\sqrt 2 \over 2}\big)$}",g135,.4,135:) draw("\rput{330}{$\big(\!{-\sqrt 3 \over 2},\!{1 \over 2}\big)$}",g150,.35,150:) draw("\rput{30}{$\big(\!{-\sqrt 3 \over 2},\!{-1 \over 2}\big)$}",g210,.4,210:) draw("\rput{45}{$\big(\!{-\sqrt 2 \over 2},\!{-\sqrt 2 \over 2}\big)$}",g225,.45,225:) draw("\rput{60}{$\big(\!{-1 \over 2},\!{-\sqrt 3 \over 2}\big)$}",g240,.4, 240:) draw("\rput{300}{$\big({1 \over 2},\!{-\sqrt 3 \over 2}\big)$}",g300,.35,305:) draw("\rput{315}{$\big(\!{\sqrt 2 \over 2},\!{-\sqrt 2 \over 2}\big)$}",g315,.4,315:) draw("\rput{330}{$\big(\!{\sqrt 3 \over 2},\!{-1 \over 2}\big)$}",g330,.35,330:) draw("\rput{315}{$\big(\!{\sqrt 2 \over 2},\!{-\sqrt 2 \over 2}\big)$}",g315,.4,315:) draw("\rput{330}{$\big(\!{\sqrt 3 \over 2},\!{-1 \over 2}\big)$}",g330,.35,330:) draw("\scalebox{.9}{$0$}", g000, .1, 154:) draw("\scalebox{.7}{$0^\circ$}", g000, .35, 170:) draw("\rput{30}{\scalebox{.7}{$30^\circ$}}", g030, .43, 210:) draw("\rput{30}{\scalebox{1}{$\pi \over 6$}}", g030, .14, 215:) draw("\rput{45}{\scalebox{.7}{$45^\circ$}}", g045, .43, 225:) draw("\rput{45}{\scalebox{1}{$\pi \over 4$}}", g045, .14, 230:) draw("\rput{60}{\scalebox{.7}{$60^\circ$}}", g060, .43, 240:) draw("\rput{60}{\scalebox{1}{$\pi \over 3$}}", g060, .14, 245:) draw("\scalebox{1}{$\pi \over 2$}", g090, .08, 292:) draw("\scalebox{.7}{$90^\circ$}", g090, .35, 283:) draw("\rput{300}{\scalebox{1}{$2\pi \over 3$}}", g120, .16, 300:) draw("\rput{300}{\scalebox{.7}{$120^\circ$}}", g120, .45, 300:) draw("\rput{315}{\scalebox{1}{$3\pi \over 4$}}", g135, .16, 315:) draw("\rput{315}{\scalebox{.7}{$135^\circ$}}", g135, .45, 315:) draw("\rput{330}{\scalebox{1}{$5\pi \over 6$}}", g150, .16, 330:) draw("\rput{330}{\scalebox{.7}{$150^\circ$}}", g150, .45, 330:) draw("\scalebox{1}{$\pi$}", g180, .08, 26:) draw("\scalebox{.7}{$180^\circ$}", g180, .27, 11:) draw("\rput{30}{\scalebox{1}{$7\pi \over 6$}}", g210, .17, 30:) draw("\rput{30}{\scalebox{.7}{$210^\circ$}}", g210, .45, 30:) draw("\rput{45}{\scalebox{1}{$5\pi \over 4$}}", g225, .17, 45:) draw("\rput{45}{\scalebox{.7}{$225^\circ$}}", g225, .45, 45:) draw("\rput{60}{\scalebox{1}{$4\pi \over 3$}}", g240, .17, 60:) draw("\rput{60}{\scalebox{.7}{$240^\circ$}}", g240, .45, 60:) draw("\scalebox{1}{$3\pi \over 2$}", g270, .06, 59:) draw("\scalebox{.7}{$270^\circ$}", g270, .32, 73:) draw("\rput{300}{\scalebox{1}{$5\pi \over 3$}}", g300, .16, 120:) draw("\rput{300}{\scalebox{.7}{$300^\circ$}}", g300, .41, 120:) draw("\rput{315}{\scalebox{1}{$7\pi \over 4$}}", g315, .16, 135:) draw("\rput{315}{\scalebox{.7}{$315^\circ$}}", g315, .41, 135:) draw("\rput{330}{\scalebox{1}{$11\pi \over 6$}}", g330, .16, 150:) draw("\rput{330}{\scalebox{.7}{$330^\circ$}}", g330, .41, 150:)
PS-tricks source
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Instructions
- Create EPS
$ euk2eps Unit_circle_angles.euk
- Outline fonts
$ eps2eps -dNOCACHE Unit_circle_angles.eps Unit_circle_angles2.eps
- Fix bounding box
$ ps2epsi Unit_circle_angles2.eps Unit_circle_angles.eps
- Convert to Sketch
$ pstoedit -f sk Unit_circle_angles.eps Unit_circle_angles.sk
- Convert to SVG
$ skconvert Unit_circle_angles.sk Unit_circle_angles.svg
- Fix Unit_circle_angles.svg with Inkscape
說明
添加單行說明來描述出檔案所代表的內容
在此檔案描寫的項目
描繪內容
18 2 2006
檔案歷史
點選日期/時間以檢視該時間的檔案版本。
日期/時間 | 縮圖 | 尺寸 | 使用者 | 備註 | |
---|---|---|---|---|---|
目前 | 2011年3月4日 (五) 19:33 | ![]() | 720 × 720(238 KB) | Tryphon | Valid SVG. |
2006年3月9日 (四) 12:57 | ![]() | 720 × 720(238 KB) | Gustavb | tiny adjustments | |
2006年3月9日 (四) 12:39 | ![]() | 720 × 720(245 KB) | Gustavb | some small adjustments | |
2006年2月22日 (三) 11:31 | ![]() | 720 × 720(253 KB) | Gustavb | Better svg conversion. | |
2006年2月18日 (六) 03:32 | ![]() | 720 × 720(472 KB) | Gustavb | == Summary == Angles and values on the Unit circle. Created by Gustavb using [http://www.eukleides.org/ Eukleides]. == Licensing == {{GFDL-self}} == Source == === Unit_circle_angles.euk (Eukleides source) === <pre> box(-1.65, -1.65, |
檔案用途
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