پەڕگە:Unit circle angles.svg

پەڕگەی سەرەکی ‏(پەڕگەی SVG، بە ناو ٧٢٠ × ٧٢٠ پیکسەڵ، قەبارەی پەڕگە: ٢٣٨ کیلۆبایت)

ئەم پەڕگە لە Wikimedia Commonsەوەیە و لەوانەیە لە پڕۆژەکانی دیکەش بەکار ھاتبێت. پێناسەکەی لەسەر پەڕەی وەسفی پەڕگەکە لە خوارەوە نیشان دراوە.

کورتە

وەسفUnit 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.
ڕێکەوت	١٨ی شوباتی ٢٠٠٦
سەرچاوە	Own work using: Eukleides
بەرھەمھێنەر	Gustavb (لێدوان · بەشدارییەکان)
وەشانەکانی تر	Derivative works of this file: Unit circle angles color.svg:
SVG genesis InfoField	The SVG code is valid. This vector image was created with unknown tool. The file size of this SVG image may be irrationally large because its text has been converted to paths inhibiting translations.

مۆڵەتنامە

This image of simple geometry is ineligible for copyright and therefore in the public domain, because it consists entirely of information that is common property and contains no original authorship.

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{0.1500}[-30.0000](0.0000,1.5500){$sin$}
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\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

مێژووی پەڕگە

کرتە بکە لەسەر یەکێک لە ڕێکەوت/کاتەکان بۆ بینینی پەڕگەکە بەو شێوەی لەو کاتەدا بووە.

	ڕێکەوت/کات	ئەندازە	بەکارھێنەر	تێبینی
هەنووکە	‏١٩:٣٣، ٤ی ئازاری ٢٠١١	٧٢٠ لە ٧٢٠ (٢٣٨ کیلۆبایت)	Tryphon	Valid SVG.
	‏١٢:٥٧، ٩ی ئازاری ٢٠٠٦	٧٢٠ لە ٧٢٠ (٢٣٨ کیلۆبایت)	Gustavb	tiny adjustments
	‏١٢:٣٩، ٩ی ئازاری ٢٠٠٦	٧٢٠ لە ٧٢٠ (٢٤٥ کیلۆبایت)	Gustavb	some small adjustments
	‏١١:٣١، ٢٢ی شوباتی ٢٠٠٦	٧٢٠ لە ٧٢٠ (٢٥٣ کیلۆبایت)	Gustavb	Better svg conversion.
	‏٠٣:٣٢، ١٨ی شوباتی ٢٠٠٦	٧٢٠ لە ٧٢٠ (٤٧٢ کیلۆبایت)	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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دراوی مێتا

ئەم پەڕگە زانیاری زێدەی ھەیە، کە لەوە دەچێت کامێرا یان ھێماگر (scanner) خستبێتیە سەری. ئەگەر پەڕگەکە لە حاڵەتی سەرەتاییەکەیەوە دەستکاری کرابێ، شایەد بڕێ لە بڕگەکان بە تەواوی زانیارەکانی وێنە گۆڕدراوەکە نیشان نەدەن.

پانی	720
بەرزی	720

پەڕگە:Unit circle angles.svg

پێڕست

کورتە

مۆڵەتنامە

Source

Unit_circle_angles.euk (Eukleides source)

PS-tricks source

Instructions

لێدوانەکان

بەندەکانی لەم پەڕگەیەدا دەردەکەون

depicts ^{ئینگلیزی}

دامەزران

١٨ شوباتی 2006

مێژووی پەڕگە

بەکارھێنانی پەڕگە

بەکارھێنانی سەرانسەریی پەڕگە

دراوی مێتا

پەڕگە:Unit circle angles.svg

کورتە

مۆڵەتنامە

Source

Unit_circle_angles.euk (Eukleides source)

PS-tricks source

Instructions

لێدوانەکان

بەندەکانی لەم پەڕگەیەدا دەردەکەون

depicts ئینگلیزی

دامەزران

١٨ شوباتی 2006

مێژووی پەڕگە

بەکارھێنانی پەڕگە

بەکارھێنانی سەرانسەریی پەڕگە

دراوی مێتا

depicts ^{ئینگلیزی}