ComplexExpand
Usage
• ComplexExpand[expr] expands expr assuming that all variables are real. • ComplexExpand[expr, { , , ... }] expands expr assuming that variables matching any of the are complex.
Notes
• Example: ComplexExpand[Sin[x + I y]]  . • The variables given in the second argument of ComplexExpand can be patterns. • Example: ComplexExpand[Sin[x], x]  . • The option TargetFunctions can be given as a list of functions from the set {Re, Im, Abs, Arg, Conjugate, Sign}. ComplexExpand will try to give results in terms of functions specified. • ComplexExpand[expr, vars, TargetFunctions -> {Abs, Arg}] converts to polar coordinates. • New in Version 2.
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