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Trigonometry Applets
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1. Triangle Trig
- Right Triangle Trigonometry Ratios
- Law of Sines - Ambiguous Case
- Law of Cosines (Circle Proof)
- Law of Cosines - Geometric Interpretation
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2. Circular Trig & Waves
- What is a radian?
- Circular Trigonometry Definitions
- Common Transformations of the rotation angle
- Trigonometry Ratio Graph from Unit Circle
- Sine Wave Sounds
- Trig Circle: Coordinates of Special Angle Values
- Trigonometry - Geometric Definitions in a Unit Circle
- Trigonometry - Pythagorean Identities Geometrically
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3. Sum/Difference Formulas
- Sine & Cosine of a Sum: Discovery
- Sine and Cosine Sum and Difference Proofs
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4. Misc. Other Trig Stuff
- Polar vs Cartesian Functions
- Interactive Polygonal Sinusoids
- Spline Trigonometry
- Zeros of sin(lnx)
- Trig Identities from Euler's Formula
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Trigonometry Applets
Chip Rollinson, Oct 21, 2019

Table of Contents
- Triangle Trig
- Right Triangle Trigonometry Ratios
- Law of Sines - Ambiguous Case
- Law of Cosines (Circle Proof)
- Law of Cosines - Geometric Interpretation
- Circular Trig & Waves
- What is a radian?
- Circular Trigonometry Definitions
- Common Transformations of the rotation angle
- Trigonometry Ratio Graph from Unit Circle
- Sine Wave Sounds
- Trig Circle: Coordinates of Special Angle Values
- Trigonometry - Geometric Definitions in a Unit Circle
- Trigonometry - Pythagorean Identities Geometrically
- Sum/Difference Formulas
- Sine & Cosine of a Sum: Discovery
- Sine and Cosine Sum and Difference Proofs
- Misc. Other Trig Stuff
- Polar vs Cartesian Functions
- Interactive Polygonal Sinusoids
- Spline Trigonometry
- Zeros of sin(lnx)
- Trig Identities from Euler's Formula
Right Triangle Trigonometry Ratios


Circular Trig & Waves
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1. What is a radian?
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2. Circular Trigonometry Definitions
-
3. Common Transformations of the rotation angle
-
4. Trigonometry Ratio Graph from Unit Circle
-
5. Sine Wave Sounds
-
6. Trig Circle: Coordinates of Special Angle Values
-
7. Trigonometry - Geometric Definitions in a Unit Circle
-
8. Trigonometry - Pythagorean Identities Geometrically
What is a radian?


Based on a gif from a "How Things Work" Twitter post
https://twitter.com/ThingsWork/status/822177097837907969
Sine & Cosine of a Sum: Discovery
There are 8 expressions shown off to the right. Your job is to carefully drag each expression (label) next to the segment (in the figure) whose length is given by this expression.
After doing so, please answer the 2 questions that follow.


Given what you see in your diagram, write an equivalent expression for .
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Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Hint: Opposite sides of a rectangle are congruent!
Given what you see in your diagram, write an equivalent expression for .
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Hint: Opposite sides of a rectangle are congruent!
Polar vs Cartesian Functions
Be sure to click on the square button in the lower right corner to expand this applet to full screen...


Cartesian to Polar demonstration via wrapping by jeromeawhite...


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