LESSONS - MATH 127

MODULE 1

Lecture #1

Introduction to Angles - Part 1

Introduction to Angles - Part 2

Examples - Part 2

Lecture #2

The Six Trigonometric Ratios; The Reciprocal and Quotient Identities

Lecture #3

Trigonometric Ratios of "Special" Angles

Lecture #4

Trigonometric Ratios of Integer Multiples of "Special" Angles

Examples

Lecture #5

Trigonometric Ratios of Quadrantal Angles and their Integer Multiples

Examples

Lecture #6

The Pythagorean Identities; Simplify Trigonometric Expressions

Examples

Lecture #7

Sum & Difference Identities and Double & Half Angle Identities

Point of Interest

MODULE 2

Lecture #8

Using the Calculator in Trigonometry

Examples

Lecture #9

A Word about Using Desmos

Sine and Cosine Functions

Examples

Lecture #10

Tangent, Cotangent, Cosecant, and Secant Functions

Examples

Lecture #11

Inverse Trigonometric Functions

Lecture #12

Solving Simple Trigonometric Equations

Examples

Lecture #13

Solving Complex Trigonometric Equations

Examples

Lecture #14

Right Triangle Trigonometry

Lecture #15

The Laws of Sines and Cosines

Examples

Proof - Law of Sines

Proof - Law of Cosines

MODULE 3

Lecture #16

Introduction to Polar Coordinates

Examples

Lecture #17

Polar Equations

Examples

Some Polar Graphs

Examples

Lecture #18

Introduction to Vectors - Part 1

Lecture #19

Introduction to Vectors - Part 2

Lecture #20

A Review of Square Completion

Introduction to Conic Sections - The Parabola

Examples

Lecture #21

Introduction to Conic Sections - The Hyperbola

Examples

Lecture #22

Introduction to Conic Sections - The Ellipse and Circle

Examples

Lecture #23

Introduction to Parametric Equations

Examples