Math 152 - Trigonometry Lecture Notes

Go to: Chapter 1 | Chapter 2 | Chapter 3 | Chapter 4 | Chapter 5 | Chapter 6 | Chapter 7

Summer 2017 Syllabus

Homework

Fun with Trigonometry!


r = asec3(θ/3)

Video Lectures


Cheat Sheet

Algebra Review

Use these tools to do your homework!

Root Finder

Graphing Calculator

Polar Graphing Calculator

Parametric Plot Calculator

Law of Cosines Calculator

Conic Section Revealed!

Polynomial Division Calculator

(useful for finding slant asymptotes of P(x)/Q(x)

Function Composition Calculator


Chapter 1: Functions and Graphs

Lecture 1 Notes

Chapter 2: Trigonometric Functions of Real Numbers

Lecture 2 Notes
  1. §2.1 The Unit Circle
  2. §2.2 Trigonometric Functions of Real Numbers
  3. §2.3 Trigonometric Graphs
  4. §2.4 More Trigonometric Graphs
  5. §2.5 Modeling Harmonic Motion

Chapter 3: Trigonometric Functions of Angles

Lecture 3 Notes
  1. §3.1 Angle Measure
  2. §3.2 Trigonometry of Right Angles
  3. §3.3 Trigonometric Functions of Angles
  4. §3.4 The Law of Sines
  5. §3.5 The Law of Cosines

Chapter 4: Analytic Trigonometry

Lecture 4 Notes
  1. §4.1 Trigonometric Identities
  2. §4.2 Addition and Subtraction Formulas
  3. §4.3 Double-Angle, Half-Angle, and Product-Sum Formulas
  4. §4.4 Inverse Trigonometric Formulas
  5. §4.5 Trigonometric Equations
Take-home Chapter 4 Test
Bonus Questions for the Final Exam - Up to 80 points!

Chapter 5: Polar Coordinates, Complex Numbers, and Vectors

Lecture 5 Notes
  1. Graph Paper for Polar Plots
  2. §5.1 Polar Coordinates
  3. §5.2 Graphs of Polar Equations
  4. §5.3 Complex Numbers
  5. §5.4 DeMoivre's Theorem
  6. §5.5 Vectors
  7. §5.6 Dot Product

Chapter 6: Analytic Geometry

Lecture 6 Notes
  1. §6.1 Parabolas
  2. §6.2 Ellipses
  3. §6.3 Hyperbolas
  4. §6.4 Shifted Conics
  5. §6.5 Rotation of Axes
  6. §6.6 Polar Equations of Conics
  7. §6.7 Parametric Equations

Chapter 7: Exponential and Logarithmic Functions

Lecture 7 Notes
Catalog of Famous Functions

Having Second Thoughts About Trig?

Go to the Russ Frith website.