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Course: Trigonometry
Topic: Trigonometric Equations
Subtopic: Equations with Multiple Angles

Overview

Continuing our study of solving trigonometric equations, today we look specifically at those with "messy" angles. The angles may be multiple angles (i.e., double-angles 2θ, triple-angles 3θ, quadruple angles, 4θ, etc.). Or the angles may involve a phase shift. These equations require that you be particularly careful to obtain all the answers that are possible within the given interval. We will also solve equations for every possible solution (i.e. all the coterminal answers) rather than restricting the solutions to a particular range.

Objectives

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

Terminology

Terms you should be able to define: multiple angle (in a trig expression)

Mini-Lectures and Examples

STUDY: Solving Trigonometric Equations with Multiple Angles & Equations Involving Inverse Trig Function

Supplemental Resources (optional)

Solve Trigonometric Equations IV
Solve Trigonometric Equations V
Solve Trigonometric Equations VI

rev. 2020-10-31