With careful attention to branch cuts,
Mathematica supports trigonometric functions everywhere in the complex plane, with extensive exact and algebraic transformations, together with efficient arbitrary-precision numerical evaluation.
Mathematica follows the standard mathematical convention of using radians for trigonometric function arguments.
Degree (
°) — constant to convert from radians to degrees
FullSimplify — simplify trigonometric expressions
FunctionExpand — reduce to algebraic forms or simpler arguments
TrigToExp,
ExpToTrig — convert between trigonometric functions and exponentials
ComplexExpand — expand into real and imaginary parts
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