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A Precalculus Outline

 

Chapter 11: Applications of Trigonometry

 


Section 11.1:  Applications of Sinusoids

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Objective: Examples of Sinusoidal Models

* Review for Section 11.1

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Objective: Graphs of the Trigonometric Functions (Section 10.5)

Section 11.2:  The Law of Sines

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Objective: Solving Triangles using The Law of Sines

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Objective: Applications involving Law of Sines

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Objective: The Ambiguous Case

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Objective: Application with the Ambiguous Case

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Objective: Finding the Area of a triangle using Sine

* Review for Section 11.2

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Objective: Degree Measure (Section 10.1)

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

Section 11.3:  The Law of Cosines

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Objective: Solving Triangles using The Law of Cosines

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Objective: Applications to Law of Cosines

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

* Review for Section 11.3

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Objective: Degree Measure (Section 10.1)

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

Section 11.4:  Polar Coordinates

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Objective: Introduction to Polar Coordinates

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Objective: Converting points between rectangular and polar coordinates

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Objective: Convert Polar Equations to Rectangular Equations

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Objective: Convert Rectangular Equations to Polar Equations

* Review for Section 11.4

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

Section 11.5:  Graphs of Polar Equations

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Objective: Graphing Polar Equations

* Review for Section 11.5

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Objective: Graphs of the Trigonometric Functions (Section 10.5)

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Objective: Polar Coordinates (Section 11.4)

Section 11.6:  Hooked on Conics Again

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Objective: General Form of a Conic

* Review for Section 11.6

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Objective: Conics (Chapter 7)

Section 11.7:  The Polar Form of Complex Numbers

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Objective: Writing complex numbers in polar form

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

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

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Objective: Finding the roots of a complex number

* Review for Section 11.7

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

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Objective: Polar Coordinates (Section 11.4)

Section 11.8:  Vectors

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Objective: Introduction to Vectors

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Objective: Representing Vectors Geometrically and Algebraically

* Review for Section 11.8

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Objective: Polar Coordinates (Section 11.4)

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Objective: Bearing Applications (Sections 11.2 and 11.3)

Section 11.9:  The Dot Product and Projection

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Objective: Finding the Dot Product of two vectors

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Objective: Finding the angle between two vectors

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Objective: Deriving the formula for the angle between two vectors

* Review for Section 11.9

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Objective: Vectors (Section 11.8)

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Objective: The Inverse Trigonometric Functions (Section 10.6)

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Objective: Trigonometric Equations and Inequalities (Section 10.7)

Section 11.10:  Parametric Equations

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Objective: Graphing a system of parametric equations

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Objective: Converting a system of parametric equations to rectangular form

* Review for Section 11.10

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

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Objective: Conics (Chapter 7)