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# Chapter 10.5 - Exercises

# Graphs of Secant and Cosecant Functions

## Module Overview

Secant and Cosecant Functions - period, phase-shift, periodic functions, asymptotes, sine function, cosine function, domain

**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 Secant and Cosecant Functions

The graphs of the Secant and Cosecant Functions are easily obtained by noting that they are respective reciprocals of the Cosine and Sine functions.

**Review**: Definition of Secant and Cosecant functions, properties and graphs of the Cosine and Sine Functions.

**Learning Objectives:**

- Domain and Range of the Secant and Cosecant Functions
- Asymptotes
- Graphs