파일:Unit circle angles.svg

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위키백과, 우리 모두의 백과사전.

원본 파일(SVG 파일, 실제 크기 720 × 720 픽셀, 파일 크기: 238 KB)

파일 설명

설명
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.
날짜
출처 다음을 사용한 자신의 작품: Eukleides
저자 Gustavb (토론 · 기여)
다른 버전 이 파일은 다음으로 파생됨:  Unit circle angles color.svg
SVG 발전
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SVG 파일의 소스 코드 문법이 올바릅니다.
 
벡터 그림Other tools(으)로 제작되었습니다.
 
The file size of this SVG image may be irrationally large because its text has been converted to paths inhibiting translations.

라이선스

Public domain 이 그림은 간단한 도형으로 구성되어 있습니다. 이러한 도형은 저작권 보호에 필요한 창작성이 없기 때문에, 저작권이 없는 퍼블릭 도메인이 됩니다.
Heptagon
Heptagon

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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\uput{0.3500}[330.0000](0.8660,-0.5000){\rput{330}{$\big(\!{\sqrt 3 \over 2},\!{-1 \over 2}\big)$}}
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\uput{0.1400}[215.0000](0.8660,0.5000){\rput{30}{\scalebox{1}{$\pi \over 6$}}}
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\uput{0.1600}[300.0000](-0.5000,0.8660){\rput{300}{\scalebox{1}{$2\pi \over 3$}}}
\uput{0.4500}[300.0000](-0.5000,0.8660){\rput{300}{\scalebox{.7}{$120^\circ$}}}
\uput{0.1600}[315.0000](-0.7071,0.7071){\rput{315}{\scalebox{1}{$3\pi \over 4$}}}
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\uput{0.1600}[330.0000](-0.8660,0.5000){\rput{330}{\scalebox{1}{$5\pi \over 6$}}}
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\uput{0.1600}[135.0000](0.7071,-0.7071){\rput{315}{\scalebox{1}{$7\pi \over 4$}}}
\uput{0.4100}[135.0000](0.7071,-0.7071){\rput{315}{\scalebox{.7}{$315^\circ$}}}
\uput{0.1600}[150.0000](0.8660,-0.5000){\rput{330}{\scalebox{1}{$11\pi \over 6$}}}
\uput{0.4100}[150.0000](0.8660,-0.5000){\rput{330}{\scalebox{.7}{$330^\circ$}}}
\uput{0.1500}[-30.0000](0.0000,1.5500){$sin$}
\uput{0.1500}[-130.0000](1.6000,0.0000){$cos$}
\endpspicture

Instructions

  1. Create EPS
    $ euk2eps Unit_circle_angles.euk
  2. Outline fonts
    $ eps2eps -dNOCACHE Unit_circle_angles.eps Unit_circle_angles2.eps
  3. Fix bounding box
    $ ps2epsi Unit_circle_angles2.eps Unit_circle_angles.eps
  4. Convert to Sketch
    $ pstoedit -f sk Unit_circle_angles.eps Unit_circle_angles.sk
  5. Convert to SVG
    $ skconvert Unit_circle_angles.sk Unit_circle_angles.svg
  6. Fix Unit_circle_angles.svg with Inkscape

설명

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현재2011년 3월 5일 (토) 04:332011년 3월 5일 (토) 04:33 판의 섬네일720 × 720 (238 KB)TryphonValid SVG.
2006년 3월 9일 (목) 21:572006년 3월 9일 (목) 21:57 판의 섬네일720 × 720 (238 KB)Gustavbtiny adjustments
2006년 3월 9일 (목) 21:392006년 3월 9일 (목) 21:39 판의 섬네일720 × 720 (245 KB)Gustavbsome small adjustments
2006년 2월 22일 (수) 20:312006년 2월 22일 (수) 20:31 판의 섬네일720 × 720 (253 KB)GustavbBetter svg conversion.
2006년 2월 18일 (토) 12:322006년 2월 18일 (토) 12:32 판의 섬네일720 × 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,

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