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The Mathematical ExplorerTM (2001)

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ComplexExpand

  • ComplexExpand[ expr ] expands expr assuming that all variables are real.
  • ComplexExpand[ expr , , , ... ] expands expr assuming that variables matching any of the are complex.
  • Example: ComplexExpand[Sin[x + I y]] .
  • The variables given in the second argument of ComplexExpand can be patterns.
  • Example: ComplexExpand[Sin[x], x] .
  • See The Mathematica Book on the web:Section 1.4.5 and Section 3.3.8.
  • See also: GaussianIntegers, TrigToExp, ExpToTrig, TrigExpand, FunctionExpand.