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based on an earlier version of the Wolfram Language.
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Elementary Functions
Using the latest platform-optimized code, Mathematica not only delivers high-efficiency machine-precision evaluation of elementary functions, but also—using a number of original algorithms—provides the world's fastest arbitrary-precision evaluation. A sophisticated web of symbolic functions and transformations allows Mathematica to perform exact numerical and algebraic operations on elementary functions—effortlessly obtaining results that in the past would have been viewed as major mathematical accomplishments.
Log base-e logarithm (Log[b, x] uses base b)
Exp exponential
Power (^) — power (entered as a superscript using Ctrl+^)
Sqrt square root (entered using Ctrl+@)
Degree (°) — constant for converting to degrees
Sin  ▪ Cos  ▪ Tan
ArcSin  ▪ ArcCos  ▪ ArcTan
Sinh  ▪ Cosh  ▪ Tanh
ArcSinh  ▪ ArcCosh  ▪ ArcTanh
    
N numerical evaluation to any precision
FunctionExpand expand in terms of simpler functions or smaller arguments
FullSimplify apply full symbolic simplification
Series series expansion
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