Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
Algebra II / E&I Algebra
Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
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
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
Sequences and Infinite Series Power Series Vectors and Geometry of Space Vector-Valued Functions
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
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 or FOILing giving a quadratic equation that must be solved by factoring, the root method, or complete the square method
• 6.2.3 Know when answers need to be checked, how to check answers, and how to recognize extraneous solutions
• 6.2.4 Determine how many solutions a trigonometric equation has by graphing

Terminology

Define: extraneous solution

Supplemental Resources (optional)