TrigToExp

Available

Rewrites trig functions in terms of the complex exponential.

Forms

TrigToExp[expr]

Verified examplesTrigToExp[Cos[x]] → 1/(2*E^(I*x)) + E^(I*x)/2 TrigToExp[Sec[x]] → 2/(E^(-I*x) + E^(I*x))TrigToExp[Tanh[x]] → -(1/(E^x*(E^(-x) + E^x))) + E^x/(E^(-x) + E^x)TrigToExp[ArcTan[x]] → I/2*Log[1 - I*x] - I/2*Log[1 + I*x]TrigToExp[ArcSinh[x]] → Log[x + Sqrt[1 + x^2]]

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Topics

Algebraic Transformations - Trigonometric Functions »
Complex Numbers - General
Hyperbolic Functions - General
Trigonometric Functions - General

Related

ExpToTrig TrigReduce ComplexExpand FunctionExpand TrigExpand TrigFactor TrigFactorList I FullSimplify Abs AbsArg AngleVector

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