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Mathematica® Teacher's Edition (2002)

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TrigToExp

FilledSmallSquare TrigToExp[expr] converts trigonometric functions in expr to exponentials.

FilledSmallSquare TrigToExp operates on both circular and hyperbolic functions, and their inverses.
FilledSmallSquare See The Mathematica Book on the web: Section 1.4.5 and Section 3.3.7.
FilledSmallSquare See also: ExpToTrig, TrigReduce, ComplexExpand.