Trigonometry
1. Basic Graphing
1. Basic Trig -360 x 360
2. Basic Trig Graph -2π x 2π by -10 x 10
3. Degree Trig Chart Creator
4. Sine Curve with Abscissa in Degrees
5. The General Cosine Function
6. Trace the Sine or Cosine Functions
7. Trace the Tangent or Cotangent Functions
2. Degrees-Radian Measures
1. Degrees vs Radians
2. Radian Units
3. Basic Trig -360° x 360°
4. Full Circle Protractors
3. Unit Circle
1. Creating a Unit Circle
2. Unit Circle
3. Unit CircleTriangles
4. Unit Circle Triangles
5. What class of Triangles use Pythagorean Theorem?
4. Sample Problems
1. Find distance between Cities
2. Find the height
3. Raise the Flag
4. Find Building Height
5. Example of Snell's Law of Refraction
5. Definitions of Trigonometry
1. Basic Terms in Geometry
2. The terms Adjacent, Hypotenuse, and Opposite sides
3. Mnemonic for Learning Trig Function Values in Quadrant I
4. The Standard Position of an Angle
5. Standard Position (Improved)
6. Defining the Coterminal Angle
7. Reference Angles
8. Trigonometry Terms
9. Dividing Trigonometric Functions
10. Finding an Inverse for the Cosine Function
11. Finding an Inverse for the Tangent Function
12. Triangle Inequality
13. Triangle Inequality
14. Trig Value Chart by 15°
15. Trig Value Chart by π/12
6. Functions
1. 1st Definition of Trigonometry Functions
2. 2nd Definition of Trigonometry Functions (SohCahToa)
3. SohCahToa
4. Projection of Radius on x-Axis and y-Axis
5. Function Review of Trigonometry
6. Addition of 2 Sine Functions
7. Adding 2 Sine Functions Graphically
8. Adding Trigonometric Functions
9. Subtracting Trigonometric Functions
10. Multiplying Trigonometric Functions
11. Composition of Trigonometric Functions
12. The General Secant Function
13. The General Sine Function
14. Transform Sine/Cosecant
15. Transform Cosine/Secant
16. Transform Tangent/Cotangent
17. Phase Shift of Trig Functions {tan(x) or cot(x)}
18. Phase Shift of Trig Funct {sin(x), cos(x), sec(x), csc(x)}
19. The Period of Trig Functs {tan(x) or cot(x)}
20. The Period Trig Functions sin(x), cos(x), sec(x), or csc(x)
21. Polar graph with rectangular graph
22. Morphing Cartesian Graphs to Polar Graphs
7. Identities
1. Trigonometric Identity Explorer
2. Circle of Symmetry Sine/Cosine
3. Developing the Law of the Sine
4. Relate Sin(a + b) and Sin(a-b)
5. Law of Sines
6. Developing the Law of Cosines
7. Exploring the Ambiguous Case of the Law of Sines
8. Trig Unspecified Triangle Cos Law
9. Law of Sines
10. The Sine Law

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Trigonometry

Auston B Cron, Don Biery, Feb 28, 2018

Lessons to help understand trigonometric concepts...

Basic Graphing
1. Basic Trig -360 x 360
2. Basic Trig Graph -2π x 2π by -10 x 10
3. Degree Trig Chart Creator
4. Sine Curve with Abscissa in Degrees
5. The General Cosine Function
6. Trace the Sine or Cosine Functions
7. Trace the Tangent or Cotangent Functions
Degrees-Radian Measures
1. Degrees vs Radians
2. Radian Units
3. Basic Trig -360° x 360°
4. Full Circle Protractors
Unit Circle
1. Creating a Unit Circle
2. Unit Circle
3. Unit CircleTriangles
4. Unit Circle Triangles
5. What class of Triangles use Pythagorean Theorem?
Sample Problems
1. Find distance between Cities
2. Find the height
3. Raise the Flag
4. Find Building Height
5. Example of Snell's Law of Refraction
Definitions of Trigonometry
1. Basic Terms in Geometry
2. The terms Adjacent, Hypotenuse, and Opposite sides
3. Mnemonic for Learning Trig Function Values in Quadrant I
4. The Standard Position of an Angle
5. Standard Position (Improved)
6. Defining the Coterminal Angle
7. Reference Angles
8. Trigonometry Terms
9. Dividing Trigonometric Functions
10. Finding an Inverse for the Cosine Function
11. Finding an Inverse for the Tangent Function
12. Triangle Inequality
13. Triangle Inequality
14. Trig Value Chart by 15°
15. Trig Value Chart by π/12
Functions
1. 1st Definition of Trigonometry Functions
2. 2nd Definition of Trigonometry Functions (SohCahToa)
3. SohCahToa
4. Projection of Radius on x-Axis and y-Axis
5. Function Review of Trigonometry
6. Addition of 2 Sine Functions
7. Adding 2 Sine Functions Graphically
8. Adding Trigonometric Functions
9. Subtracting Trigonometric Functions
10. Multiplying Trigonometric Functions
11. Composition of Trigonometric Functions
12. The General Secant Function
13. The General Sine Function
14. Transform Sine/Cosecant
15. Transform Cosine/Secant
16. Transform Tangent/Cotangent
17. Phase Shift of Trig Functions {tan(x) or cot(x)}
18. Phase Shift of Trig Funct {sin(x), cos(x), sec(x), csc(x)}
19. The Period of Trig Functs {tan(x) or cot(x)}
20. The Period Trig Functions sin(x), cos(x), sec(x), or csc(x)
21. Polar graph with rectangular graph
22. Morphing Cartesian Graphs to Polar Graphs
Identities
1. Trigonometric Identity Explorer
2. Circle of Symmetry Sine/Cosine
3. Developing the Law of the Sine
4. Relate Sin(a + b) and Sin(a-b)
5. Law of Sines
6. Developing the Law of Cosines
7. Exploring the Ambiguous Case of the Law of Sines
8. Trig Unspecified Triangle Cos Law
9. Law of Sines
10. The Sine Law

Information

Basic Graphing

1. Basic Trig -360 x 360
2. Basic Trig Graph -2π x 2π by -10 x 10
3. Degree Trig Chart Creator
4. Sine Curve with Abscissa in Degrees
5. The General Cosine Function
6. Trace the Sine or Cosine Functions
7. Trace the Tangent or Cotangent Functions

Basic Trig -360 x 360

This is a blank page set for students to graph trig functions easily by plotting the points by using the point tool. When finished plotting the student should try to write the function graphed.

The degree symbol is require for graphing: sin(x°), cos(x°), tan(x°) {PC can use <alt><o> or symbol menu α } Available for all who desire to use...

– Auston B Cron

Degrees-Radian Measures

1. Degrees vs Radians
2. Radian Units
3. Basic Trig -360° x 360°
4. Full Circle Protractors

Degrees vs Radians

Move the slider n to change the number of degrees or rays. This comparison displays the difference of 30 degrees and 30 radians. 0 <= n <= 3600

Degrees vs Radians

– Auston B Cron

Unit Circle

1. Creating a Unit Circle
2. Unit Circle
3. Unit CircleTriangles
4. Unit Circle Triangles
5. What class of Triangles use Pythagorean Theorem?

Creating a Unit Circle

The instruction in Graphic2 are instructions to create this applet on you desktop. Or you can erase and recreate in this window.

Have fun.

– Auston B Cron

Sample Problems

1. Find distance between Cities
2. Find the height
3. Raise the Flag
4. Find Building Height
5. Example of Snell's Law of Refraction

Find distance between Cities

Enter latitude of two cities on the same longitudinal line. The steps and work to find the distance will be shown and computed. This is designed to check homework problems.

– Auston B Cron

Definitions of Trigonometry

1. Basic Terms in Geometry
2. The terms Adjacent, Hypotenuse, and Opposite sides
3. Mnemonic for Learning Trig Function Values in Quadrant I
4. The Standard Position of an Angle
5. Standard Position (Improved)
6. Defining the Coterminal Angle
7. Reference Angles
8. Trigonometry Terms
9. Dividing Trigonometric Functions
10. Finding an Inverse for the Cosine Function
11. Finding an Inverse for the Tangent Function
12. Triangle Inequality
13. Triangle Inequality
14. Trig Value Chart by 15°
15. Trig Value Chart by π/12

Basic Terms in Geometry

This lessons reviews Basic Geometry Vocabulary with interactive displays of the vocabulary. Point(s), Plane, Line, Segment, Ray, Angle, Side(s), Vertex, etc.

Additional resources to view: Standard Position 01 Standard Position 01a Coterminal Angles 01b

– Auston B Cron

Functions

1. 1st Definition of Trigonometry Functions
2. 2nd Definition of Trigonometry Functions (SohCahToa)
3. SohCahToa
4. Projection of Radius on x-Axis and y-Axis
5. Function Review of Trigonometry
6. Addition of 2 Sine Functions
7. Adding 2 Sine Functions Graphically
8. Adding Trigonometric Functions
9. Subtracting Trigonometric Functions
10. Multiplying Trigonometric Functions
11. Composition of Trigonometric Functions
12. The General Secant Function
13. The General Sine Function
14. Transform Sine/Cosecant
15. Transform Cosine/Secant
16. Transform Tangent/Cotangent
17. Phase Shift of Trig Functions {tan(x) or cot(x)}
18. Phase Shift of Trig Funct {sin(x), cos(x), sec(x), csc(x)}
19. The Period of Trig Functs {tan(x) or cot(x)}
20. The Period Trig Functions sin(x), cos(x), sec(x), or csc(x)
21. Polar graph with rectangular graph
22. Morphing Cartesian Graphs to Polar Graphs

1st Definition of Trigonometry Functions

One way to define trigonometric function is by place a point in a coordinate plane allowing the distance to the origin to be a radius which determines the angle of the function.

1st Definition of Trigonometry Functions

– Auston B Cron

Identities

1. Trigonometric Identity Explorer
2. Circle of Symmetry Sine/Cosine
3. Developing the Law of the Sine
4. Relate Sin(a + b) and Sin(a-b)
5. Law of Sines
6. Developing the Law of Cosines
7. Exploring the Ambiguous Case of the Law of Sines
8. Trig Unspecified Triangle Cos Law
9. Law of Sines
10. The Sine Law

Trigonometric Identity Explorer

Basic Trigonometry Functions Reciprocal Identities Quotient Identities Pythagorean Identities Negative Angle Identities Sum and Difference Identities Cofunction Identities Double Angle Identities Product-to-Sum Identities Sum-to-Product Identities Half Angle Identities

Review these Identities

– Auston B Cron

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Trigonometry

Table of Contents

Information

Basic Graphing

Basic Trig -360 x 360

Degrees-Radian Measures

Degrees vs Radians

Degrees vs Radians

Unit Circle

Creating a Unit Circle

Sample Problems

Find distance between Cities

Definitions of Trigonometry

Basic Terms in Geometry

Functions

1st Definition of Trigonometry Functions

1st Definition of Trigonometry Functions

Identities