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Course: Trigonometry
Topic: Graphs of Trigonometric Functions
Subtopic: Combination Graphs

Overview

A combination function means combining functions together by adding, multiplying, or composing. In this lesson we graph combination trig functions and analyze them. This can be accomplished algebraically combining coordinates x by x. This is logically interesting, but I recommend using technology to produce the graphs instead so we can concentrate on analyzing the graph without the tedium of plotting it point by point. There is a lot to discover here, so have your grapher at hand!

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 4.5.1 Graph combinations of trig functions electronically
• 4.5.2 Determe if a combination trig function is periodic by observation of its graph
• 4.5.3 Analyze, i.e., interpret the period, intercepts, and relative extrema, trigonometric graphs that model applications in engineering, science, etc.

Terminology

Define: combination trigonometric function, relative extreme points, relative extreme values