Coterminal Angle

Author

Eric W. Weisstein
May 29, 2014

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Trigonometry/CoterminalAngle.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/CoterminalAngle.html.

©2014 Wolfram Research, Inc. except for portions noted otherwise

Additional Author

Original figure by Christopher Stover
May 2014

Graphic

pts=N@Table[{Cos[k],Sin[k]}*0.375,{k,0 Degree,44 Degree,0.01Degree}];
pts2=N@Table[{Cos[k]+0.025*k*Cos[k],Sin[k]+0.025*k*Sin[k]}*0.65,{k,0 Degree,404 Degree,0.01Degree}];

Graphics[{
{Red, Thick,Arrow[pts2,0]},
{Black,Thick, Arrow[{0#,#}&/@Table[Through[{Cos,Sin}[π k/4]],{k,1}]]},{Arrow[1.05 {{{0,-1},{0,1}}}]},
{Line[1.05{{{-1,0},{0,0}}}]},
{Black, Thick,Arrow[1.05{{0,0},{1,0}}]},{Text[Style[α,20],{0.4375,Sqrt[2]/7-.05}]},
{Thick, Arrow[pts,0]},
{Red, Text[Style[β,20],{0.825,Sqrt[2]/7}]}}]