Wolframalpha.com
User
Interface and Math Keywords
Robert Katz
Last Updated August 4, 2009
Category: Mathematics 
Keyword Formats 
Described Results 
Elementary Mathematics 
N + M 
What you input, result, number name, visual representation 
Radicals 
Sqrt(N), Cbrt(N) or N^(M) (fractional exponent) 
Input, Decimal Representation with arbitrary precision,
Continued Fraction format 
Fractions 
Fractional Arithmetic Expressions (1/4)*(4–(1/2)) 
Input, Exact Result, Decimal Conversion, Prime
Factorization, Egyptian Fraction Expansion 
Trigonometry 
Use pi; Default is units of radians. To use degrees:
Cos[60 Degree]
Cos[Pi/3], Sin[Pi/3], Tan[Pi/3], ArcCos[1/2], ArcSin[1/2],
ArcTan[Sqrt[3]], Sec[Pi/3], Csc[Pi/3], Cot[Pi/3], ArcSec[2/Sqrt[3]] 
Input, (Exact) Result, Decimal Representation with
arbitrary precision, Conversion to degrees, Right Triangle Picture inside
Circle to show Width and Height of legs when Hypotenuse = Diameter, continued
fraction, alternative representations, relations to other equivalent
functions 
Factorial 
N! 
Input, Result, Number Name, Alternative representations,
Integral representations 
Absolute Value 
Abs(expression) 
Input, result, number name, visual representation,
alternate representations 
Exponential Functions 
Use e^(expression) or exp(expression) 
Input, Decimal representation, Property, Plots, Series
Expansion, Derivative, (In)definite Integral, Limit, Series Representation,
Continued Fraction, Alternative and Integral representations 
Numerical Approximation 
N(expression, showdigits) i.e. N(pi, 50) 
Input, Result 
Simplification in Algebra 
expand simplify i.e. 
Input, Result, Plots, Expansion/Factor over a finite
field, padic expansion 
Solving equations and inequalities 
solve x^2
– x – 20 = 0 solve 0 < 2  3x < 8 solve 2x + 3y = 4 and 3x + 2y = 5 
Input, Result, Root plots in real or complex plane;
optional show steps to solution with solve keyword 

Minimize x^2 – x – 20 
Input, (Global) minimum, plots 

Maximize x^2 + x + 20 
Input, (Global) maximum, plots 
Graphing 
Plot 3x + 4y < 5 
Input, (Inequality) Plot(s) 