Chapter 4: Graphs of Circular Functions

4.1 Graphs of Sine and Cosine Functions

• ex 1 2 3 More on 4.1
• Video 25: Introduction to periodic functions
• More 4.1
• Video 27 Transform period and phase of sine and cosine function
• Video 28 - Graphing trig functions on TI 83

4.2 Translations of the graphs of sine and cosine functions

• 4.2 More Examples
• Video 26: Transformation of sin and cos with amplitude and vertical shift
• Video 29: Examples transforming basic sine

Chapter 5: Trigonometric Identities

5.1 Fundamental Identities

5.2 Verifying Trig Identities

• Ex. 1 2 3 4
• More examples of verifying identities on one or two sides.

5.3 Sum and difference identities for cosine

5.4 Sum and difference identity of sine and tangent

Chapter 6: Inverse Trigonometric Functions and Trigonometric Equations

6.1 Inverse Trig functions

• sine 1 2 3

Chapter 7: Applications of Trigonometry and Vectors

7.1 The Law of Sine

7.2 Ambiguous Case

CHECK IT OUT:

1. 7 Animated GIFs That Will Make You Instantly Understand Trigonometry
2. Reference Angles in Radians

-Class Textbook: Trigonometry (Lial, Hornsby, Schneider) 7th ed.

-Trig Cliffnotes

-Lots of Help Trig Stuff (Notes, Quizzes, Tests, and Solutions)

-Trig Videos

Great Trig videos - sign up for free with email address.

http://temp.mrmathengnet.officelive.com/trigstats.aspx

District Benchmark Review (BMR):

Quarter One: #1 #1 Solutions #2 #2 Solutions

Quarter Two: #1 #1 Solutions #2

#2 Solutions (#3 should be =1, #8 should be +, #10a should be -pi/3, #10b 4pi/3 should be rejected

Finals Review:

Trig Final Review Solutions (Thanks Jennifer T)

Chapter 1: Trigonometric Functions

1.1 Basic Concepts

• coordinate system - Quadrants
• Pythagorean Theorem
• Distance Formula
• Intervalnotation
• Finding the domain 1 2 Another video
• Domain and range
• Domain and Range

1.2 Angles

• Degrees
• Angles (Degrees, Minutes, Seconds)
• Angles (Coterminal Angles and Standard position)
• Review

1.3 Angle Relationships

• (similar triangles
• Geometry Angles
• Parallel Lines

1.4 Definition of Trigonometry Functions

• (Function Values of an Angle)
• Definition of Trigonometry (Quadrantal Angles )
• Back up plan

1.5 Using Definition of Trig Functions

• (Reciprocal Identities, Signs and ranges of function values )
• 1.5 Identities (Pythagorean and Quotient)
• Chapter 1 Review

Chapter 2: Acute Angles and Right Triangles

2.1 Range of Trigonometric Functions

• Finding Trig Functions 01
• Finding Trig Functions 02
• Finding Trig Functions 03
• A Trick to Remember Values on The Unit Circle
• COFUNCTIONS
• Cofunctions 01
• Cofunctions 02
• Solving Equations using Cofunction Identities
• FIND REFERENCE ANGLE
• Finding Reference Angles
• Using Reference Angles
• Function Values of Special Angles
• Function Values of Acute Angles
• Trigonometric Function Values of 60 Degree
• Finding Function Values using Coterminal Angles

2. 2 Finding Angle Measures from given Interval and

2.3Finding Trig Function Values using a Calculator

• More
• Using your calculator
• Using Inverse Trigonometric Function
• Grade Resistance
• Basic Trigonometry Review

2.4 Solving Right Triangles 01 - Angle and Side

• SOLVE RIGHT TRIANGLES
• Find angles given trig function
• Solving Right Triangles 02 - Two Sides
• Solving Right Triangles 03 - Finding Length when Angle
• Solving Right Triangles 04 - Angle of Elevation
• Watch Video on Pythagorean Theorem Word Problem...
• solving right triangles word problem
• Trigonometric Ratios of Acute Angles Part 1

2.5 Bearing Word Problems

• More Examples: 1, 2, 3, 4
  • Math 083 Word Problems Practice (Right-Angle Triangles)
• Review

Chapter 3: Chapter 3: Radian measure and circular functions

3.1 Radian Measure (Converting between degrees and radians)

• More examples of Converting from Degrees to Radians and from Radians to Degrees

3.2 Applications of Radian Measure

Trigonometry Unit Circle

• Mr. Eng created the unit circle
• Ex. 1 2 3 4
• -Unit Circle Musical Song

3.2 Area of sectors of circles

3.3 Circular Functions