13-6 The Tangent Function
Objective
To graph the tangent function.
Dynamic Activity
The Tangent Curve
Lesson Vocabulary
- tangent of θ
- tangent function
The tangent function is closely associated with the sine and cosine functions, but it differs from them in three dramatic ways.
Essential Understanding The tangent function has infinitely many points of discontinuity with a vertical asymptote at each point. Its range is all real numbers. Its period is π, half that of both the sine and cosine functions.
Take Note Key Concept: Tangent of an Angle
Suppose the terminal side of an angle θ in standard position intersects the unit circle at the point (x, y). Then the ratio
In this diagram,
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions