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MAC1114  -  Trigonometry
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Review Handouts and Worksheets
PERT Study Guide for Mathematics - Link
Courtesy of AIMS Community College - Arithmetic ,  Elementary AlgebraCollege Algebra

Pensacola State College Course Companion Websites - Link

Misc. Handouts
The Greek Alphabet - List 1 , List 2 , List3 , Pronunciation
Unit Circles with Grids (dark to light grids) - Circles
Graph Paper - 8x8  ,  Trig Grids

PowerPoint Flashcards
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Unit Circle Flashcards (in degrees) - in order  ,  shuffled
Unit Circle Flashcards (in radians)  - in order  ,  shuffled

Reference Angles Flashcards (in degrees) - in order  ,  shuffled

Sine & Cosine Flashcards (in degrees) - in order  ,  shuffled
Sine & Cosine Flashcards (in radians)  - in order  ,  shuffled
Sine, Cosine & Tangent Flashcards (in degrees) - in order  ,  shuffled
Sine, Cosine & Tangent Flashcards (in radians)  - in order  ,  shuffled


Fundamental Trigonometric Identities Flashcards -  in order  ,  shuffled  ,  pdf

Chapter 1   Trigonometric Functions
 
  Trigonometry - Definition
Unit Circle: Degrees, Radians & Coordinates - Worksheet

Unit Circle Templates -  LargeTemplates
Unit Circle Flashcards (in degrees) - in order  ,  shuffled
Angles - Parallel Lines Cut by a Transversal -  Notes
Legal Property Description in Degrees, Minutes, Seconds - Notes
What is a Radian?
- Radians
Degree Measure vs. Radian Measure - 120 Degrees
The Unit Circle:  Degrees, Radians & Coordinates - Diagram1Diagram2
Pattern to Coordinates on a Unit Circle - Table of Values
Classifying Triangles - Notes  (web link)
Right Triangle Trigonometry - Definitions:   SOC-CAH-TOA  vs. X-Y-R  , Combined
Unit Circle - Triangle Trigonometry - Pythagorean Identity - Diagram & ID
Unit Circle  vs. Circle of Radius r  - Diagram
Chapter 2
  Acute Angles and Right Triangles
Special Angles/Triangles -  30 degrees45 degrees60 degrees
Table of Values for Cosine, Sine & Tangent
     Basic Table -  Table 1
     Pattern to Coordinates of Cosine and Sine - Table 2
     Finding the Tangent - Table 3
The Unit Circle:  Degrees, Radians & Coordinates - Diagram1Diagram2
Practice with Sine, Cosine and Tangent
     Sine & Cosine Flashcards (in degrees) - in order  ,  shuffled
     Sine, Cosine & Tangent Flashcards (in degrees) - in order  ,  shuffled

Unit Circle Templates - Templates
Unit Circles with Grids (dark to light grids) - Circles
Cos & Sin "Calculator" - Unit Circle with 10 degree intervals - Handout
Reference Angles
     Definitions   , (link)
     Reference Angles Flashcards (in degrees) - in order  ,  shuffled
     Examples on the Unit Circle -  150 degrees-120 degrees
Compass & Bearing -  Compass220 degree Bearing
Bearing: Legal Description -  Notes
Degrees, Minutes, Seconds : Property Description - Notes  (2 pages)
Determine Direction with 1) the Sun and a Wristwatch  or  2) the Sun and a Stick - Handout
Chapter 3
  Radian Measure and Circular Functions
What is a Radian? - Radians
Degree Measure vs. Radian Measure - 120 Degrees
The Unit Circle:  Degrees, Radians & Coordinates - Diagram1Diagram2
Unit Circle Flashcards (in radians)  - in order  ,  shuffled
Practice with Sine, Cosine and Tangent (PowerPoint)
     Sine & Cosine Flashcards (in radians)  - in order  ,  shuffled
     Sine, Cosine & Tangent Flashcards (in radians)  - in order  ,  shuffled
Trig Functions vs. Unit Circle - notes
Geometry of the Trig Functions - Notes
Arc Length, Area & Velocity Formulas - Notes
Chapter 4
  Graphs of the Circular Functions
Various Trig Graphing Grids - Graphing Grids
Definition of a Periodic Function - Definition
Transformations of  y = sin(x) - SummaryGRAPH
Relationship between sine and cosine functions - Homework , Key , LargerOverhead

River Levels - "Periodic" Functions - Graphs FloridaUSA
Moon Phase animation - Link1 Link2 Link3
Moon Calendar - Link


Putting It All Together:  Unit Circle ↔ Triangles ↔ Graph
The Sine Function -  video-1 ,   video-2  ,  GRAPH  ,  Java
(Video animations work best in QuickTime to make them interactive)
 
Chapter 5   Trigonometric Identities
Trig Identities & Formulas (courtesy of Ms. Petruska) - Everything
Trig Identities - Identities2  ,  Identities3
Map to Proving Trig Identities (courtesy of ????) - Map
Guidelines for Proving Identities -  Notes
Sum and Difference Relations -  Notes
Cos(A+B) - Proof , Diagram
CoFunctions - Notes
Sin(A+B) - Proof
Tan(A+B) -  Proof
Double Angle Relations - Notes
Half-Angle Relations -  Notes
Product-to-Sum Relations - formulas
Chapter 6   Inverse Circular Functions & Trigonometric Equations
The Unit Circle:  cosine & sine calculator - Notes
One-to-One Functions:  Definition  ,  Graphs
Inverse Functions - Notes
Trig Functions & Inverse Trig Functions - TrigFcns.grf ,  [ Download GRAPH ]
Inverse Trig Functions - sinx, cosx, tanxcotx, secx, cscx
Chapter 7   Applications of Trigonometry & Vectors
Law of Sines - Proof
From "The Wizard of Oz" - If  I only had a brain!
Degrees, Minutes, Seconds : Property Description - Notes

Visualizing Vectors -  Slideshow (6 pages)
Vectors:  Plane & Wind - Notes
The Dot Product - Notes
Vector Fields -  SailFlow.com ,    Weather: click NDFD Forcast, then Wind
Chapter 8   Complex Numbers, Polar Equations & Parametric Equations
Complex Numbers:  EqualityGraph & ModulusArgumentTrig Form ,
Addition: parallelogram vs. free vectorsSubtractionMultiplication
DeMoivre's Theorems - Notes
Euler's Equation:  Notes

All kinds of Polar Grids:  pdf  ,  Word
Polar Table of Values:  notes

 

If you find any errors, please notify me at  PFalzone@PensacolaState.edu