precalculus
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Examples forPrecalculus

Algebra »

Simplify an expression:

1/(1+sqrt(2))

Solve a polynomial equation:

solve x^2 + 4x + 6 = 0

Compute properties of a polynomial in several variables:

x^3 + x^2 y + x y^2 + y^3

Complete a square:

complete the square x^2+10x+28

Compute a partial fraction decomposition:

partial fractions (x^2-4)/(x^4-x)

Do basic arithmetic on matrices:

{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}

Compute the domain of a function:

domain of f(x) = x/(x^2-1)

Compute the range of a function:

range of e^(-x^2)
Trigonometry »

Compute values of trigonometric functions:

sin(pi/5)

Compute properties of an inverse trigonometric function:

arccot x

Generate a table of special values of a function:

closed-form values of tan(x)

Solve a trigonometric equation:

sin x + cos x = 1

Apply a trigonometric theorem:

law of cosines
Complex Numbers »

Do basic arithmetic on complex numbers:

1/(12+7i)

Find roots of complex numbers:

(1+i)^(1/5)

Apply functions to complex numbers:

exp(24+2i)

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