Iyeltak:Unit circle angles.svg

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PimtaraUnit 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.
Evla	18 toleaksat 2006
Klita	Travail personnel avec: Eukleides
Askisik	Gustavb (prilara · webekseem)
Autres versions	Derivative works of this file: Unit circle angles color.svg:
SVG information InfoField	Le code de ce fichier SVG est valide. Cette image vectorielle SVG a été créée avec un logiciel SVG inconnu The file size of this SVG image may be irrationally large because its text has been converted to paths inhibiting translations.

Sortara :

Cette image de géométrie simple est inéligible au droit d'auteur et par conséquent est dans le domaine public, parce qu'elle est intégralement constituée d'éléments qui font partie du patrimoine public.

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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\newrgbcolor{yellow}{.8 .82 .86}
\psset{unit=2.2000cm}
\pspicture*(-1.6500,-1.6500)(1.7000,1.7000)
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\uput{0.1000}[308.0000](-0.0000,-1.0000){\scalebox{.9}{$(0,-1)$}}
\uput{0.3000}[30.0000](0.8660,0.5000){\rput{30}{$\big(\!{\sqrt 5 \over 3},{1 \over 2}\big)$}}
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\uput{0.3000}[60.0000](0.5000,0.8660){\rput{60}{$\big({1 \over 2},\!{\sqrt 3 \over 2}\big)$}}
\uput{0.3500}[120.0000](-0.5000,0.8660){\rput{300}{$\big(\!{-1 \over 2},\!{\sqrt 3 \over 2}\big)$}}
\uput{0.4000}[135.0000](-0.7071,0.7071){\rput{315}{$\big(\!{-\sqrt 2 \over 2},\!{\sqrt 2 \over 2}\big)$}}
\uput{0.3500}[150.0000](-0.8660,0.5000){\rput{330}{$\big(\!{-\sqrt 3 \over 2},\!{1 \over 2}\big)$}}
\uput{0.4000}[210.0000](-0.8660,-0.5000){\rput{30}{$\big(\!{-\sqrt 3 \over 2},\!{-1 \over 2}\big)$}}
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\uput{0.4000}[315.0000](0.7071,-0.7071){\rput{315}{$\big(\!{\sqrt 2 \over 2},\!{-\sqrt 2 \over 2}\big)$}}
\uput{0.3500}[330.0000](0.8660,-0.5000){\rput{330}{$\big(\!{\sqrt 3 \over 2},\!{-1 \over 2}\big)$}}
\uput{0.1000}[154.0000](1.0000,0.0000){\scalebox{.9}{$0$}}
\uput{0.3500}[170.0000](1.0000,0.0000){\scalebox{.7}{$0^\circ$}}
\uput{0.4300}[210.0000](0.8660,0.5000){\rput{30}{\scalebox{.7}{$30^\circ$}}}
\uput{0.1400}[215.0000](0.8660,0.5000){\rput{30}{\scalebox{1}{$\pi \over 6$}}}
\uput{0.4300}[225.0000](0.7071,0.7071){\rput{45}{\scalebox{.7}{$45^\circ$}}}
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\uput{0.1600}[300.0000](-0.5000,0.8660){\rput{300}{\scalebox{1}{$2\pi \over 3$}}}
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\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

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

Iyeltakizvot

Witison va iyeltak inde in banugale awir, va evla/bartiv vulegal !!

	Evla/Bartiv	Aluk	Lumeem	Favesik	Sebuks
ref	4 bareaksat 2011 à 20:33		720 × 720 (238 kio)	wikimediacommons>Tryphon	Valid SVG.

Favera va iyeltak

Meku bu va bata ewava ruldar.

Iyeltak:Unit circle angles.svg

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Éléments décrits dans ce fichier

dépeint ^français

statut des droits d'auteur ^français

domaine public ^français

date de fondation ou de création ^français

18 toleaksat 2006

taille des données ^français

243 859 octet

type MIME ^français

image/svg+xml

somme de contrôle ^français

2cb3b53f4630e17f366500b1f73ffc23482da300

Iyeltakizvot

Favera va iyeltak

Exulera

Iyeltak:Unit circle angles.svg

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Source

Légendes

Éléments décrits dans ce fichier

dépeint français

statut des droits d'auteur français

domaine public français

date de fondation ou de création français

18 toleaksat 2006

taille des données français

243 859 octet

type MIME français

image/svg+xml

somme de contrôle français

2cb3b53f4630e17f366500b1f73ffc23482da300

Iyeltakizvot

Favera va iyeltak

Exulera

Aneyara

dépeint ^français

statut des droits d'auteur ^français

domaine public ^français

date de fondation ou de création ^français

taille des données ^français

type MIME ^français

somme de contrôle ^français