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: Solving Trig Equations

Overview

Trigonometric equations are equations that contain trigonometric expressions. Because they are equations they can be solved for the variable which is usually the angle. These equations usually have multiple answers and you can check your answers by plugging back into the original equation or by graphing. In this lesson we start with some basic equations such as those that contain only a single trigonometric function.

Objectives

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

• 6.1.1 Algebraically solve linear trigonometric equations
• 6.1.2 Algebraically solve quadratic trigonometric equations including those that factor and those that do not (e.g., quadratic formula needed)
• 6.1.3 Restrict angle answers to a given interval
• 6.1.4 Determine how many answers an equation has on a given interval by graphing and counting x-intercept points

Terminology

Terms you should be able to define: trigonometric equation, linear trig equation, quadratic trig equation

Mini-Lectures and Examples

Supplemental Resources (optional)

rev. 2020-10-31