Subject:
Higher Education, Mathematics, Calculus, Trigonometry
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Asymptotes, Cosine, Cotangent, Mathematics, Periodic Function, Sine, Tangent, Tmm0022
License:
Creative Commons Attribution-NonCommercial 4.0
Language:
English
Media Formats:
Downloadable docs, Text/HTML, Video

Education Standards (1)

Graphs of Tangent and Cotangent functions

Module Overview

Tangent and Cotangent Functions - period, phase-shift, periodic functions, asymptotes, sine and cosine functions

TMM 002 PRECALCULUS (Revised March 21, 2017)

1. Functions:

  • 1a. Analyze functions. Routine analysis includes discussion of domain, range, zeros, general function behavior (increasing, decreasing, extrema, etc.), as well as periodic characteristics such as period, frequency, phase shift, and amplitude. In addition to performing rote processes, the student can articulate reasons for choosing a particular process, recognize function families and anticipate behavior, and explain the implementation of a process (e.g., why certain real numbers are excluded from the domain of a given function).*

Section 1: Graphing Tangent and Cotangent Functions

Learning Objectives:

  • Domain and Range of the Tangent and Cotangent Functions
  • Asymptotes
  • Graphs