- Subject:
- Higher Education, Mathematics, Calculus, Trigonometry
- Material Type:
- Module
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- Ohio Open Ed Collaborative
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# Chapter 10.5 - Exercises

# Graphs of Tangent and Cotangent functions

## 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).*

# Graphing Tangent and Cotangent Functions

**Learning Objectives:**

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