Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Trigonometry
Topic: Trigonometric Equations
Subtopic: Equations Involving Identities

Overview

Continuing in our study of solving trigonometric equations, in this lesson we examine more complicated trigonometric equations including those that require using trigonometric identities to solve.

Objectives

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

• 6.2.1 Algebraically solve trigonometric equations that involve identities including reciprocal, double-angle, and half-angle identities
• 6.2.2 Algebraically solve trigonometric equations that require squaring both sides then FOILing to force a Pythagorean identity
• 6.2.3 Know when answers need to be checked, how to check answers, and how to recognize extraneous solutions

Terminology

Terms you should be able to define: extraneous solution

Mini-Lectures and Examples

Supplemental Resources (optional)

rev. 2020-10-31