Trigonometry Angles—π/4

Author

Eric W. Weisstein
May 31, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Trigonometry/TrigonometryAnglesPi4.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/TrigonometryAnglesPi4.html.

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

Values

Through[{Cos,Sin,Tan}[Pi/4]]

Figure

<<Plot`

TrigPlot[Pi/4]

<<Typesetting`

d=.04;
Show[Graphics[{
Line[{{0,0},{Cos[Pi/4],0},{Cos[Pi/4],Sin[Pi/4]},{0,0}}],
Line[{{Cos[Pi/4]-d,0},{Cos[Pi/4]-d,d},{Cos[Pi/4],d}}],
Text[y==Sin[θ]//TraditionalForm,{Cos[Pi/4]+d,Sin[Pi/4]/2},{-1,0}],
Text[y//TraditionalForm,{Cos[Pi/6]/2,-2d}],
Text[1//TraditionalForm,{Cos[Pi/4]/2-.04,Sin[Pi/4]/2+.04}],
Text[θ==Pi/4//TraditionalForm,{.17,.05}],
Text[θ//TraditionalForm,{.67,.6}]
}],AspectRatio->Automatic,PlotRange->All]