Chapter 10
The links below will take you to videos and exercises relating to the content in
Chapter 10: APPLICATIONS OF TRIGONOMETRY
10.1 THE LAW OF SINES
The Law of Sines, Example 1 (PatrickJMT)
The Law of Sines, Example 2 (PatrickJMT)
The Law of Sines, Example 3 (PatrickJMT)
The Law of Sines, Word Problem 1 (PatrickJMT)
The Law of Sines, Word Problem 2 (PatrickJMT)
The Law of Sines, Word Problem 3 (PatrickJMT)
Sine Law Ambiguous Case (MrsQuesnelle)
The Law of Sines: the Ambiguous Case (bullcleo1)
10.2 THE LAW OF COSINES AND AREA FORMULAS
The Law of Cosines (PatrickJMT)
The Law of Cosines, Example 1 (PatrickJMT)
The Law of Cosines, Example 2 (PatrickJMT)
The Law of Cosines, Example 3 (PatrickJMT)
The Law of Cosines, Example 4 (PatrickJMT)
The Law of Cosines, Example 5 (PatrickJMT)
The Law of Cosines, Example 6 (PatrickJMT)
Heron's Formula, Example 1 (PatrickJMT)
Heron's Formula, Example 2 (PatrickJMT)
Heron's Formula, Example 3 (PatrickJMT)
Area of a Triangle (SAS) (bullcleo1)
10.3 VECTORS AND THEIR APPLICATIONS
Vector Basics - Drawing Vectors, Vector Addition (PatrickJMT)
Vector Basics - Algebraic Representations (PatrickJMT)
Vector Basics - Algebraic Representations, Part 2 (PatrickJMT)
Vector Addition and Scalar Multiplication, Example 1 (PatrickJMT)
Vector Addition and Scalar Multiplication, Example 2 (PatrickJMT)
Finding a Unit Vector, Ex. 1 (PatrickJMT)
Finding a Unit Vector, Ex. 2 (PatrickJMT)
Unit Vectors (bullcleo1) (Explains the i, j form
Vector Operations (bullcleo1)
Word Problems Involving Vectors, Ex 1 (PatrickJMT)
Word Problems Involving Vectors, Ex 2 (PatrickJMT)
Word Problems Involving Vectors, Ex 3 (PatrickJMT)
Vectors: Applications (bullcleo1)
Vector Applications: Force and Work (bullcleo1)
10.4 TRIGONOMETRIC (POLAR) FORM OF COMPLEX NUMBERS
Polar Coordinates - the Basics (PatrickJMT)
Expressing a Complex Number in Trig or Polar Form, ex 1 (PatrickJMT)
Expressing a Complex Number in Trig or Polar Form, ex 2 (PatrickJMT)
Complex Numbers: Multiplying & Dividing in Polar Form, ex 1 (PatrickJMT)
Complex Numbers: Multiplying & Dividing in Polar Form, ex 2 (PatrickJMT)
The Product & Quotient of Complex Numbers in Trig Form (bullcleo1)
10.5 POWERS AND ROOTS OF COMPLEX NUMBERS
De Moivre's Theorem (bullcleo1)
De Moivre's Theorem: Raising a Complex Number to a Power, Ex 1 (PatrickJMT)
De Moivre's Theorem: Raising a Complex Number to a Power, Ex 2 (PatrickJMT)
De Moivre's Theorem: Raising a Complex Number to a Power, Ex 3 (PatrickJMT)
Determining the Roots of a Complex Number (bullcleo1)
Roots of Complex Numbers, Ex 1 (PatrickJMT)
Roots of Complex Numbers, Ex 2 (PatrickJMT)
Roots of Complex Numbers, Ex 3 (PatrickJMT)
More Roots of Complex Numbers, Ex 1 (PatrickJMT)
More Roots of Complex Numbers, Ex 2 (PatrickJMT)
10.6 POLAR EQUATIONS AND GRAPHS
Polar Coordinates - the Basics (PatrickJMT)
Intro to Polar Coordinates, Ex 1 (PatrickJMT)
Converting Between Polar and Rectangular (Cartesian) Coordinates, Ex 1 (PatrickJMT)
Converting Between Polar and Rectangular (Cartesian) Coordinates, Ex 2 (PatrickJMT)
A Review of Polar Coordinates (rlp85hotmail)
Graphing Simple Polar Equations, Ex 1 (PatrickJMT)
Graphing Simple Polar Equations, Ex 2 (PatrickJMT)
Graphing a Polar Curve - Part 1 (PatrickJMT)
Graphing a Polar Curve - Part 2 (PatrickJMT)
Polar Graphs (Waszel)
If you want to try graphing polar equations by hand, here
are some links to polar graph paper that you can print out:
Polar Graph - Radians (6 graphs to a page)
Polar Graph - Degrees (6 graphs to a page)
Large Polar Graph - Radians (1 graph to page)
Graphing Special Polar Equations, Ex 1 (PatrickJMT)
Basic Info About a Limacon (PatrickJMT)
How Many Petals Will a Graph Have? (PatrickJMT)
Converting Between Polar and Rectangular Equations, Ex 1 (PatrickJMT)
Converting Between Polar and Rectangular Equations, Ex 2 (PatrickJMT)
Converting Between Polar and Rectangular Equations, Ex 3 (PatrickJMT)
10.7. MORE PARAMETRIC EQUATIONS
Introduction to Parametric Equations (bullcleo1)
Graphing Parametric Equations on the Calculator (bullcleo1)
Converting Parametric Equations to Rectangular Form (bullcleo1)
Polar Graph - Radians (6 graphs to a page) you can print this as a pdf
Polar Graph - Degrees (6 graphs to a page)
Large Polar Graph - Radians (1 graph to page)
Coordinate Plane (4 graphs to a page)
Large Numbered Coordinate Plane (1 graph to page)
Large Coordinate Plane (no numbers, 1 graph to page)