Examples for

Precalculus

Precalculus is a subject meant to prepare students for learning calculus. Primarily, it includes material from algebra and trigonometry. Various prerequisite subjects are often covered, such as functions, sets and number systems, and methods of proof are introduced. Wolfram|Alpha is a great tool for getting acquainted with and applying this material.

Algebra

Simplify expressions and solve equations. Compute properties of polynomials, matrices and functions. Perform algebraic manipulations.

Simplify an expression:

Solve a polynomial equation:

Compute properties of a polynomial in several variables:

Complete a square:

Compute a partial fraction decomposition:

Do basic arithmetic on matrices:

Compute the domain of a function:

Compute the range of a function:

More examples
Complex Numbers

Work with expressions involving the imaginary constant , the square root of −1.

Do basic arithmetic on complex numbers:

Find roots of complex numbers:

Apply functions to complex numbers:

More examples
Trigonometry

Evaluate trigonometric functions, examine their properties and apply trigonometric theorems and identities.

Compute values of trigonometric functions:

Compute properties of an inverse trigonometric function:

Generate a table of special values of a function:

Solve a trigonometric equation:

Apply a trigonometric theorem:

More examples