Trigonometry Angles—Pi/8

Author

Eric W. Weisstein
April 19, 2011

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Trigonometry/TrigonometryAnglesPi8.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/TrigonometryAnglesPi8.html.

©2011 Wolfram Research, Inc. except for portions noted otherwise

Figure

<<Utilities`Plot`

TrigPlot[Pi/8,AnglePosition->{.6,.12}]

Values

{HoldForm[#[Pi/8]],ToRadicals@RootReduce@Simplify@TrigToExp[#[Pi/8]]}&/@{Cos,Cot,Csc,Sec,Sin,Tan}//TableForm//TraditionalForm

{HoldForm[#[3Pi/8]],ToRadicals@RootReduce@Simplify@TrigToExp[#[3Pi/8]]}&/@{Cos,Cot,Csc,Sec,Sin,Tan}//TableForm//TraditionalForm