File:Unit circle angles.svg
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Contents |
Summary
Angles and values on the en:Unit circle. Created by Gustavb using Eukleides.
Licensing
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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:)); colour(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
File usage
The following pages on Schools Wikipedia link to this image (list may be incomplete):
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Width | 720 |
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Height | 720 |
More information
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