ไฟล์:Unit circle angles.svg
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ขนาดของตัวอย่าง PNG นี้ของไฟล์ SVG นี้: 600 × 600 พิกเซล ความละเอียดอื่น: 240 × 240 พิกเซล | 480 × 480 พิกเซล | 768 × 768 พิกเซล | 1,024 × 1,024 พิกเซล | 2,048 × 2,048 พิกเซล | 720 × 720 พิกเซล
ไฟล์ต้นฉบับ (ไฟล์ SVG ขนาดประมาณ 720 × 720 พิกเซล, ขนาดไฟล์: 238 กิโลไบต์)
ไฟล์นี้มาจาก วิกิมีเดียคอมมอนส์ และอาจมีใช้ในโครงการอื่น คำอธิบายในหน้าคำอธิบายไฟล์แสดงไว้ด้านล่างนี้
ความย่อ
| คำอธิบายUnit 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. |
| วันที่ | |
| แหล่งที่มา | Own work using: Eukleides |
| ผู้สร้างสรรค์ | Gustavb (คุย · ส่วนร่วม) |
| เวอร์ชันอื่น |
ไฟล์อื่นที่ใช้ไฟล์นี้: Unit circle angles color.svg: |
| SVG genesis InfoField |
การอนุญาตใช้สิทธิ
| Public domainPublic domainfalsefalse |
| ภาพนี้ประกอบด้วยรูปทรงเรขาคณิตอย่างง่าย ซึ่งขาดคุณสมบัติการมีลิขสิทธิ์ ภาพนี้จึงเป็นสาธารณสมบัติ เนื่องจากภาพนี้สามารถสร้างขึ้นใหม่ได้โดยง่าย มิได้เป็นสมบัติของผู้ใดผู้หนึ่ง และไม่มีผู้ใดสามารถอ้างความเป็นเจ้าของได้ |
Source
Unit_circle_angles.euk (Eukleides source)
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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:)
|
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\endpspicture
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Instructions
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คำบรรยายโดยย่อ
เพิ่มคำอธิบายบรรทัดเดียวว่าไฟล์นี้แสดงถึงอะไร
รายการที่แสดงอยู่ในไฟล์นี้
ประกอบด้วย
18 กุมภาพันธ์ 2006
data size อังกฤษ
243,859 ไบต์
media type อังกฤษ
image/svg+xml
checksum อังกฤษ
2cb3b53f4630e17f366500b1f73ffc23482da300
ประวัติไฟล์
คลิกวันที่/เวลาเพื่อดูไฟล์ที่ปรากฏในขณะนั้น
| วันที่/เวลา | รูปย่อ | ขนาด | ผู้ใช้ | ความเห็น | |
|---|---|---|---|---|---|
| ปัจจุบัน | 20:33, 4 มีนาคม 2554 | 720 × 720 (238 กิโลไบต์) | wikimediacommons>Tryphon | Valid SVG. |
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