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Funções Trigonométricas
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1. Calculando medidas de arcos e seus radianos
- 1 Radiano: Clara Definição
- Animação radial
- Ilustração do radiano
- Animação: Uma borda de radianos
- De Graus para Radianos e de Radianos para Graus
- Quiz: De Graus para Rad e Rad para Graus
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2. Angles in Standard Position, Coterminal Angles, Trig Ratios
- Angles in Standard Position
- Animation 176
- Angle Orientations (Standard Position)
- Animation 180
- Animation 181
- Angulos Coterminais Interativos!!! tradução incompleta!
- Animation 183
- Quiz: Sketching Angles in Standard Position
- Coterminal Angles: Question Generator
- Defining Trigonometric Ratios
- Unit Circle and Sine Graph
- Unit Circle and Tangent Graph
- Unit Circle and Cosine Graph
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3. Trig Functions of Special Angles
- Right Triangle Generator for Right Triangle Trigonometry
- Quiz: Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
- Evaluating Trig Functions Given a Point on the Terminal Ray
- Quiz: Quadrant Logic (Trig)
- Trig Quadrant Logic (2)
- Quiz: Evaluating Trig FNS of Angles (Quadrant Logic): V1
- Quiz: Evaluating Trig FNS of Angles WITH Quadrant Logic (V2)
- Right Triangle Trigonometry: Intro
- True Meaning of Sine, Cosine, Tangent Ratios within Right Triangles
- Right Triangle Solver: Formative Assessment
- Right Triangle Trig: Solving for Sides (2)
- Quiz: Expressing Angles Using Inverse Trigonometric Function
- Trig Ratio Estimations (Right Triangle Context)
- Trig Ratio Estimations (Quiz: V1)
- Trig Ratio Estimations (Quiz: V2)
- Isosceles Right Triangle: Quick Investigation
- Special Right Triangle (I)
- Another Special Right Triangle (Guided Discovery)
- Special Right Triangle (II)
- 30-60-90 Triangle
- Special Right Triangles: Basic Questions
- Quiz: Triângulos retângulos com ângulos notáveis (30°,45° e 60°)
- Trig Function Values (30 Degrees)
- Animation 148
- Trig Function Values (45 Degrees)
- Animation 146
- Trig Function Values (60 Degrees)
- Animation 147
- Special Angles in Standard Position: Intro (V1)
- Special Angles in Standard Position: Intro (V2)
- Special Angles in Standard Position: Intro (V2) - Part 2
- Animation 177
- Animation 178
- Special Angles in Standard Position: Intro (V3)
- Animation 182
- Quiz 1: Funções trigonométricas de ângulos notáveis
- Quiz 2: Trigonometric Functions of Special Angles
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4. Even and Odd Functions
- Sine and Cosecant Functions (Special Property)
- Sine Identity
- Animation 150
- Cosine and Secant Functions (Special Property)
- Cosine Identity
- Animation 149
- Tangent and Cotangent Functions (Special Property)
- Animation 145
- Tangent Identity
- Animation 151
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5. Representando graficamente e escrevendo Funções trignométricas
- Funções Seno e Cosseno no círculo unitário
- Sine & Cosine Period Action (1)!
- Animation 190
- Animation 191
- Sine & Cosine Period Action (2)!
- Tangent Function Exploration
- Tangent Period Action (1)!
- Tangent Period Action (2)!
- Animation 192
- Cotangent Function Exploration
- Transforming Sine and Cosine Functions (1): Dynamic Illustrator
- Transforming Sine and Cosine Functions (2): Dynamic Illustrator
- Transforming the Sine Function (All Transformations)
- Graphing Sine & Cosine Functions (II)
- Graphing Sine & Cosine Functions (I)
- Transformations of a Sinusoid
- Quiz: Graphing Sine & Cosine Functions (Amplitude & Vertical Shift Only)
- Writing Sine and Cosine Functions (with Amplitude & Vertical Shift Changes)
- Sine Function Modeling (y = a sin(x) + d) Quiz
- Cosine Function Modeling (y = a cos(x) + d) Quiz
- Modeling with Trigonometric Functions
- Sine & Cosine Function Modeling: Finding Correct Parameters
- Ferris Wheel Action!!!
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6. Inverse Trig Functions
- Inverse Relations: Graphs
- Sine Function Domain Restriction Options?
- Cosine Function Domain Restriction Options?
- Tangent Function Domain Restriction Options?
- Inverse Trig Functions: Intuitive Explorations
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7. Solving Trig Equations and Modeling
- Ferris Wheel (1): Modeling with Trigonometric Functions
- Ferris Wheel (2): Modeling with Trigonometric Functions
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8. Proving Trig Identities
- New Trig IDs From Similar Right Triangles
- New Trig ID's from Similar Right Triangles (V2)
- Pythagorean Trigonometric Identity (1)
- Trig ID Movie (II)
- Trig ID Movie (III)
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9. Proving Advanced Trig Identities
- Sine & Cosine of a Sum: Discovery
- Trig ID: Geometric Investigation
- Tangent of a Sum: Discovery
- Tangent of a Difference: Trig Identity Puzzle + Proof!
- Cotangent of a Sum: Discovery
- Bizzare Trig Identity?
- Animation 105
- sin(75) & cos(75) activity
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10. Other Functions Resources
- Functions Resources
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11. HSG.SRT.A.1, A.1.A, A.1.B
- Dilation Introduction: Transformers!
- Dilating a Point (Intro)
- Dilating a Line: HSG.SRT.A.1.A
- Dilating a Segment: HSG.SRT.A.1.B
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12. HSG.SRT.A.2
- Similar Figures: Dynamic Illustration
- Animation 243
- Properties of Dilations
- Properties of Dilations (II)
- Proving Triangles Similar (1)
- Proving Triangles Similar (2)
- Proving Triangles Similar (3)
- Proving Triangles Similar (4)
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13. HSG.SRT.A.3
- Angle -Angle: Triangle Investigation
- AA Similarity Theorem
- Animation 97
- AAA: Similar Quads?
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14. HSG.SRT.B.4 & B.5
- SAS ~ Theorem
- SSS ~ Theorem (V1)
- Animation 63
- SSS ~ Theorem (V2)
- SSSS: Similar Quads?
- Similar Right Triangles (V1)
- Similar Right Triangles (V2)
- Animation 13
- Pythagorean and similar triangles.
- Effortless Trisections
- Animation 134
- Parallel Lines Congruent Segments Theorem
- Parallel Lines Proportionality Theorem
- Triangle-Angle Bisector Theorem
- Animation 81
- Proof Without Words
- Wordless Pythagorean Theorem based on Translations
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
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15. HSG.SRT.D.9 & D.10 & D.11
- Triangle Investigation
- Law of Sines (& Area)
- Law of Sines (Illustrated)
- Law of Cosines: Discovery
- Bearing Illustrator (1)
- Direction Angle Illustrator
- Bearing Illustrator (2)
- Bearings Summary
- Bearing: Dynamic Illustration
- Bearings: Dynamic Illustrator
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16. Links to Other CCSS High School: Geometry Standards
- Geometry Resources
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Funções Trigonométricas
Tim Brzezinski, Antonio Carlos Bastos Sousa, Apr 17, 2020

Table of Contents
- Calculando medidas de arcos e seus radianos
- 1 Radiano: Clara Definição
- Animação radial
- Ilustração do radiano
- Animação: Uma borda de radianos
- De Graus para Radianos e de Radianos para Graus
- Quiz: De Graus para Rad e Rad para Graus
- Angles in Standard Position, Coterminal Angles, Trig Ratios
- Angles in Standard Position
- Animation 176
- Angle Orientations (Standard Position)
- Animation 180
- Animation 181
- Angulos Coterminais Interativos!!! tradução incompleta!
- Animation 183
- Quiz: Sketching Angles in Standard Position
- Coterminal Angles: Question Generator
- Defining Trigonometric Ratios
- Unit Circle and Sine Graph
- Unit Circle and Tangent Graph
- Unit Circle and Cosine Graph
- Trig Functions of Special Angles
- Right Triangle Generator for Right Triangle Trigonometry
- Quiz: Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
- Evaluating Trig Functions Given a Point on the Terminal Ray
- Quiz: Quadrant Logic (Trig)
- Trig Quadrant Logic (2)
- Quiz: Evaluating Trig FNS of Angles (Quadrant Logic): V1
- Quiz: Evaluating Trig FNS of Angles WITH Quadrant Logic (V2)
- Right Triangle Trigonometry: Intro
- True Meaning of Sine, Cosine, Tangent Ratios within Right Triangles
- Right Triangle Solver: Formative Assessment
- Right Triangle Trig: Solving for Sides (2)
- Quiz: Expressing Angles Using Inverse Trigonometric Function
- Trig Ratio Estimations (Right Triangle Context)
- Trig Ratio Estimations (Quiz: V1)
- Trig Ratio Estimations (Quiz: V2)
- Isosceles Right Triangle: Quick Investigation
- Special Right Triangle (I)
- Another Special Right Triangle (Guided Discovery)
- Special Right Triangle (II)
- 30-60-90 Triangle
- Special Right Triangles: Basic Questions
- Quiz: Triângulos retângulos com ângulos notáveis (30°,45° e 60°)
- Trig Function Values (30 Degrees)
- Animation 148
- Trig Function Values (45 Degrees)
- Animation 146
- Trig Function Values (60 Degrees)
- Animation 147
- Special Angles in Standard Position: Intro (V1)
- Special Angles in Standard Position: Intro (V2)
- Special Angles in Standard Position: Intro (V2) - Part 2
- Animation 177
- Animation 178
- Special Angles in Standard Position: Intro (V3)
- Animation 182
- Quiz 1: Funções trigonométricas de ângulos notáveis
- Quiz 2: Trigonometric Functions of Special Angles
- Even and Odd Functions
- Sine and Cosecant Functions (Special Property)
- Sine Identity
- Animation 150
- Cosine and Secant Functions (Special Property)
- Cosine Identity
- Animation 149
- Tangent and Cotangent Functions (Special Property)
- Animation 145
- Tangent Identity
- Animation 151
- Representando graficamente e escrevendo Funções trignométricas
- Funções Seno e Cosseno no círculo unitário
- Sine & Cosine Period Action (1)!
- Animation 190
- Animation 191
- Sine & Cosine Period Action (2)!
- Tangent Function Exploration
- Tangent Period Action (1)!
- Tangent Period Action (2)!
- Animation 192
- Cotangent Function Exploration
- Transforming Sine and Cosine Functions (1): Dynamic Illustrator
- Transforming Sine and Cosine Functions (2): Dynamic Illustrator
- Transforming the Sine Function (All Transformations)
- Graphing Sine & Cosine Functions (II)
- Graphing Sine & Cosine Functions (I)
- Transformations of a Sinusoid
- Quiz: Graphing Sine & Cosine Functions (Amplitude & Vertical Shift Only)
- Writing Sine and Cosine Functions (with Amplitude & Vertical Shift Changes)
- Sine Function Modeling (y = a sin(x) + d) Quiz
- Cosine Function Modeling (y = a cos(x) + d) Quiz
- Modeling with Trigonometric Functions
- Sine & Cosine Function Modeling: Finding Correct Parameters
- Ferris Wheel Action!!!
- Inverse Trig Functions
- Inverse Relations: Graphs
- Sine Function Domain Restriction Options?
- Cosine Function Domain Restriction Options?
- Tangent Function Domain Restriction Options?
- Inverse Trig Functions: Intuitive Explorations
- Solving Trig Equations and Modeling
- Ferris Wheel (1): Modeling with Trigonometric Functions
- Ferris Wheel (2): Modeling with Trigonometric Functions
- Proving Trig Identities
- New Trig IDs From Similar Right Triangles
- New Trig ID's from Similar Right Triangles (V2)
- Pythagorean Trigonometric Identity (1)
- Trig ID Movie (II)
- Trig ID Movie (III)
- Proving Advanced Trig Identities
- Sine & Cosine of a Sum: Discovery
- Trig ID: Geometric Investigation
- Tangent of a Sum: Discovery
- Tangent of a Difference: Trig Identity Puzzle + Proof!
- Cotangent of a Sum: Discovery
- Bizzare Trig Identity?
- Animation 105
- sin(75) & cos(75) activity
- Other Functions Resources
- Functions Resources
- HSG.SRT.A.1, A.1.A, A.1.B
- Dilation Introduction: Transformers!
- Dilating a Point (Intro)
- Dilating a Line: HSG.SRT.A.1.A
- Dilating a Segment: HSG.SRT.A.1.B
- HSG.SRT.A.2
- Similar Figures: Dynamic Illustration
- Animation 243
- Properties of Dilations
- Properties of Dilations (II)
- Proving Triangles Similar (1)
- Proving Triangles Similar (2)
- Proving Triangles Similar (3)
- Proving Triangles Similar (4)
- HSG.SRT.A.3
- Angle -Angle: Triangle Investigation
- AA Similarity Theorem
- Animation 97
- AAA: Similar Quads?
- HSG.SRT.B.4 & B.5
- SAS ~ Theorem
- SSS ~ Theorem (V1)
- Animation 63
- SSS ~ Theorem (V2)
- SSSS: Similar Quads?
- Similar Right Triangles (V1)
- Similar Right Triangles (V2)
- Animation 13
- Pythagorean and similar triangles.
- Effortless Trisections
- Animation 134
- Parallel Lines Congruent Segments Theorem
- Parallel Lines Proportionality Theorem
- Triangle-Angle Bisector Theorem
- Animation 81
- Proof Without Words
- Wordless Pythagorean Theorem based on Translations
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- Proof Without Words
- HSG.SRT.D.9 & D.10 & D.11
- Triangle Investigation
- Law of Sines (& Area)
- Law of Sines (Illustrated)
- Law of Cosines: Discovery
- Bearing Illustrator (1)
- Direction Angle Illustrator
- Bearing Illustrator (2)
- Bearings Summary
- Bearing: Dynamic Illustration
- Bearings: Dynamic Illustrator
- Links to Other CCSS High School: Geometry Standards
- Geometry Resources
Angles in Standard Position, Coterminal Angles, Trig Ratios
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1. Angles in Standard Position
-
2. Animation 176
-
3. Angle Orientations (Standard Position)
-
4. Animation 180
-
5. Animation 181
-
6. Angulos Coterminais Interativos!!! tradução incompleta!
-
7. Animation 183
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8. Quiz: Sketching Angles in Standard Position
-
9. Coterminal Angles: Question Generator
-
10. Defining Trigonometric Ratios
-
11. Unit Circle and Sine Graph
-
12. Unit Circle and Tangent Graph
-
13. Unit Circle and Cosine Graph
Trig Functions of Special Angles
-
1. Right Triangle Generator for Right Triangle Trigonometry
-
2. Quiz: Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray
-
3. Evaluating Trig Functions Given a Point on the Terminal Ray
-
4. Quiz: Quadrant Logic (Trig)
-
5. Trig Quadrant Logic (2)
-
6. Quiz: Evaluating Trig FNS of Angles (Quadrant Logic): V1
-
7. Quiz: Evaluating Trig FNS of Angles WITH Quadrant Logic (V2)
-
8. Right Triangle Trigonometry: Intro
-
9. True Meaning of Sine, Cosine, Tangent Ratios within Right Triangles
-
10. Right Triangle Solver: Formative Assessment
-
11. Right Triangle Trig: Solving for Sides (2)
-
12. Quiz: Expressing Angles Using Inverse Trigonometric Function
-
13. Trig Ratio Estimations (Right Triangle Context)
-
14. Trig Ratio Estimations (Quiz: V1)
-
15. Trig Ratio Estimations (Quiz: V2)
-
16. Isosceles Right Triangle: Quick Investigation
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17. Special Right Triangle (I)
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18. Another Special Right Triangle (Guided Discovery)
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19. Special Right Triangle (II)
-
20. 30-60-90 Triangle
-
21. Special Right Triangles: Basic Questions
-
22. Quiz: Triângulos retângulos com ângulos notáveis (30°,45° e 60°)
-
23. Trig Function Values (30 Degrees)
-
24. Animation 148
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25. Trig Function Values (45 Degrees)
-
26. Animation 146
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27. Trig Function Values (60 Degrees)
-
28. Animation 147
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29. Special Angles in Standard Position: Intro (V1)
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30. Special Angles in Standard Position: Intro (V2)
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31. Special Angles in Standard Position: Intro (V2) - Part 2
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32. Animation 177
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33. Animation 178
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34. Special Angles in Standard Position: Intro (V3)
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35. Animation 182
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36. Quiz 1: Funções trigonométricas de ângulos notáveis
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37. Quiz 2: Trigonometric Functions of Special Angles
Even and Odd Functions
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1. Sine and Cosecant Functions (Special Property)
-
2. Sine Identity
-
3. Animation 150
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4. Cosine and Secant Functions (Special Property)
-
5. Cosine Identity
-
6. Animation 149
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7. Tangent and Cotangent Functions (Special Property)
-
8. Animation 145
-
9. Tangent Identity
-
10. Animation 151
Representando graficamente e escrevendo Funções trignométricas
-
1. Funções Seno e Cosseno no círculo unitário
-
2. Sine & Cosine Period Action (1)!
-
3. Animation 190
-
4. Animation 191
-
5. Sine & Cosine Period Action (2)!
-
6. Tangent Function Exploration
-
7. Tangent Period Action (1)!
-
8. Tangent Period Action (2)!
-
9. Animation 192
-
10. Cotangent Function Exploration
-
11. Transforming Sine and Cosine Functions (1): Dynamic Illustrator
-
12. Transforming Sine and Cosine Functions (2): Dynamic Illustrator
-
13. Transforming the Sine Function (All Transformations)
-
14. Graphing Sine & Cosine Functions (II)
-
15. Graphing Sine & Cosine Functions (I)
-
16. Transformations of a Sinusoid
-
17. Quiz: Graphing Sine & Cosine Functions (Amplitude & Vertical Shift Only)
-
18. Writing Sine and Cosine Functions (with Amplitude & Vertical Shift Changes)
-
19. Sine Function Modeling (y = a sin(x) + d) Quiz
-
20. Cosine Function Modeling (y = a cos(x) + d) Quiz
-
21. Modeling with Trigonometric Functions
-
22. Sine & Cosine Function Modeling: Finding Correct Parameters
-
23. Ferris Wheel Action!!!
Proving Advanced Trig Identities
-
1. Sine & Cosine of a Sum: Discovery
-
2. Trig ID: Geometric Investigation
-
3. Tangent of a Sum: Discovery
-
4. Tangent of a Difference: Trig Identity Puzzle + Proof!
-
5. Cotangent of a Sum: Discovery
-
6. Bizzare Trig Identity?
-
7. Animation 105
-
8. sin(75) & cos(75) activity
HSG.SRT.B.4 & B.5
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1. SAS ~ Theorem
-
2. SSS ~ Theorem (V1)
-
3. Animation 63
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4. SSS ~ Theorem (V2)
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5. SSSS: Similar Quads?
-
6. Similar Right Triangles (V1)
-
7. Similar Right Triangles (V2)
-
8. Animation 13
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9. Pythagorean and similar triangles.
-
10. Effortless Trisections
-
11. Animation 134
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12. Parallel Lines Congruent Segments Theorem
-
13. Parallel Lines Proportionality Theorem
-
14. Triangle-Angle Bisector Theorem
-
15. Animation 81
-
16. Proof Without Words
-
17. Wordless Pythagorean Theorem based on Translations
-
18. Proof Without Words
-
19. Proof Without Words
-
20. Proof Without Words
-
21. Proof Without Words
-
22. Proof Without Words
-
23. Proof Without Words
-
24. Proof Without Words
-
25. Proof Without Words
-
26. Proof Without Words
HSG.SRT.D.9 & D.10 & D.11
-
1. Triangle Investigation
-
2. Law of Sines (& Area)
-
3. Law of Sines (Illustrated)
-
4. Law of Cosines: Discovery
-
5. Bearing Illustrator (1)
-
6. Direction Angle Illustrator
-
7. Bearing Illustrator (2)
-
8. Bearings Summary
-
9. Bearing: Dynamic Illustration
-
10. Bearings: Dynamic Illustrator
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