Trigonometry Angles—π/3

Author

Eric W. Weisstein
May 31, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Trigonometry/TrigonometryAnglesPi3.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/TrigonometryAnglesPi3.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Values

Through[{Cos,Sin,Tan}[Pi/3]]

Figure

<<Plot`

TrigPlot[Pi/3]

<<Typesetting`

d=.04;
Show[Graphics[{
Line[{{0,0},{Cos[Pi/3],0},{Cos[Pi/3],Sin[Pi/3]},{0,0}}],
Line[{{Cos[Pi/3]-d,0},{Cos[Pi/3]-d,d},{Cos[Pi/3],d}}],
Text[y==Sin[θ]//TraditionalForm,{Cos[Pi/3]+d,Sin[Pi/3]/2},{-1,0}],
Text[Sqrt[1-y^2]//TraditionalForm,{Cos[Pi/3]/2,-d}],
Text[1//TraditionalForm,{Cos[Pi/3]/2-.04,Sin[Pi/3]/2}],
Text[θ==Pi/3//TraditionalForm,{.1,.05}],
Text[θ/2//TraditionalForm,{.46,.7}]
}],AspectRatio->Automatic,PlotRange->All]