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Built-in Mathematica Symbol

ExpToTrig

ExpToTrig[expr]
converts exponentials in expr to trigonometric functions.

ExpToTrig tries when possible to give results that do not involve explicit complex numbers.

ExpToTrig automatically threads over lists, as well as equations, inequalities and logic functions.

Convert from exponentials to trigonometric functions:

ExpToTrig works with hyperbolic functions:

Show that the unit circle maps to an interval in the Joukowski map:

ExpToTrig is the inverse of TrigToExp:

ExpToTrig threads element-wise over lists, equations, inequalities and logic functions:

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