ComplexExpand
 Usage
• ComplexExpand[expr] 假设所有的变量都是实数来展开expr.
• ComplexExpand[expr,   ,  , ...  ] 假设匹配任何  的变量都是复数来展开 expr.
Notes
• 例如: ComplexExpand[Sin[x + I y]]  . • 在ComplexExpand的第二个参数中给出的变量可以是模式。 • 例如: ComplexExpand[Sin[x], x] . • 可以从集合{Re, Im, Abs, Arg, Conjugate, Sign}. ComplexExpand 中的函数列表给出的选项TargetFunctions总是根据指定的函数给出结果。 • ComplexExpand[expr, vars, TargetFunctions ->  Abs, Arg ] 转换为极坐标。
 Further Examples
You can expand complex powers.
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The result here is not x  y because x or y could be complex.
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This assumes x and y are real.
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You can expand complex exponential, trig, and hyperbolic functions.
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You can expand trig and hyperbolic functions of complex arguments.
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Using the TargetFunction option This forces Mathematica to assume both x and y are real.
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This is an expansion in terms of z and the absolute value of z.
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Now we expand in terms of polar coordinates.
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Finally, here is an expansion in terms of z and its conjugate.
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