Trigonometric Substitution

Author

Eric W. Weisstein
August 12, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/TrigonometricSubstitution.nb.

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

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

t==tan((θ/2))

Solve[t==Tan[θ/2],θ]

Simplify[FunctionExpand[Through[{Cos,Sin}[2ArcTan[t]]]]]

D[2ArcTan[t],t]