A Precalculus Outline

Chapter 11: Applications of Trigonometry

Section 11.1: Applications of Sinusoids

Objective: Examples of Sinusoidal Models

* Review for Section 11.1

Objective: Graphs of the Trigonometric Functions (Section 10.5)

Section 11.2: The Law of Sines

Objective: Solving Triangles using The Law of Sines

Objective: Applications involving Law of Sines

Objective: The Ambiguous Case

Objective: Application with the Ambiguous Case

Objective: Finding the Area of a triangle using Sine

* Review for Section 11.2

Objective: Degree Measure (Section 10.1)

Objective: Solving equations involving the trigonometric functions (Sections 10.6, 10.7)

Section 11.3: The Law of Cosines

Objective: Solving Triangles using The Law of Cosines

Objective: Applications to Law of Cosines

Objective: Finding the Area of a Triangle using Heron's Formula

* Review for Section 11.3

Section 11.4: Polar Coordinates

Objective: Introduction to Polar Coordinates

Objective: Converting points between rectangular and polar coordinates

Objective: Convert Polar Equations to Rectangular Equations

Objective: Convert Rectangular Equations to Polar Equations

* Review for Section 11.4

Objective: The Unit Circle: Cosine and Sine (Section 10.2)

Section 11.5: Graphs of Polar Equations

Objective: Graphing Polar Equations

* Review for Section 11.5

Objective: Polar Coordinates (Section 11.4)

Section 11.6: Hooked on Conics Again

Objective: General Form of a Conic

* Review for Section 11.6

Objective: Conics (Chapter 7)

Section 11.7: The Polar Form of Complex Numbers

Objective: Writing complex numbers in polar form

Objective: Finding products and quotients of complex numbers in polar form

Objective: Finding powers of complex numbers written in polar form (DeMoivre's Theorem)

Objective: Finding the roots of a complex number

* Review for Section 11.7

Objective: Complex Zeros and The Fundamental Theorem of Algebra (Section 3.4)

Section 11.8: Vectors

Objective: Introduction to Vectors

Objective: Representing Vectors Geometrically and Algebraically

* Review for Section 11.8

Objective: Bearing Applications (Sections 11.2 and 11.3)

Section 11.9: The Dot Product and Projection

Objective: Finding the Dot Product of two vectors

Objective: Finding the angle between two vectors

Objective: Deriving the formula for the angle between two vectors

* Review for Section 11.9

Objective: Vectors (Section 11.8)

Objective: The Inverse Trigonometric Functions (Section 10.6)

Objective: Trigonometric Equations and Inequalities (Section 10.7)

Section 11.10: Parametric Equations

Objective: Graphing a system of parametric equations

Objective: Converting a system of parametric equations to rectangular form

* Review for Section 11.10

Objective: Systems of Non-Linear Equations and Inequalities (Section 8.7)