Outline
Trigonometric Functions
Table of Contents
Working with Radians
Angles in Standard Position, Coterminal Angles, Trig Ratios
- Angles in Standard Position
- Animation 176
- Angle Orientations (Standard Position)
- Animation 180
- Animation 181
- Coterminal Angles Action!!!
- 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: Special Right Triangles
- Trig Function Values (30 Degrees)
- Animation 148
- Trig Function Values (45 Degrees)
- Animation 146
- Trig Function Values (60 Degrees)
- Animation 147
- Rads and Revs: Quick Conceptual Insight
- Trig Reference Circle: Choose Your Own Radius
- Trig Reference Circle (2): Choose Your Own Radius
- Trig Circle: Coordinates of Special Angle Values
- 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: Trigonometric Functions of Special Angles
- Quiz 2: Trigonometric Functions of Special Angles
Even and Odd Functions
Graphing and Writing Trig Functions
- Sine Spaghetti (by Steve Phelps)
- Cosine Spaghetti
- Sine and Cosine Graphing Template
- Sine and Cosine π-friendly Graphing Template
- Sine Function Anatomy and Exploration
- Unit Circle to Sine and Cosine Functions
- 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
- Basic Trig Graphing Open Middle Problem
- Quiz: Graphing Sine & Cosine Functions (Amplitude & Vertical Shift Only)
- Writing Sine and Cosine Functions (with Amplitude & Vertical Shift Changes)
- Open Middle: Graphing Trig Functions Exercise
- Open Middle: Graphing Trig Functions Exercise (2)
- Modeling with Trigonometric Functions
- Ferris Wheel Action!!!
Inverse Trig Functions
- Using Inverse Trig Functions to Express Angle Measures
- Creating Inverse Sine and Inverse Cosine Functions
- Evaluating Inverse Trig Functions of Special Ratios
- Compositions of Trig & Inverse Trig Functions (1)
- Evaluating Compositions of Trig & Inverse Trig Functions (2)
- 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
Proving Trig Identities
Proving Advanced Trig Identities
- Law of Sines: Intro via Areas
- Open Middle: Ambiguous Case Setups
- Exploring Sines: Another Key Triangle Relationship
- Sine & Cosine of a Sum: Discovery
- Trig ID: Geometric Investigation
- Trig Identity (4) - 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
- Trig Identity Shown Graphically
- Double Angle Trig Identity: Proof via Equal Areas
Other Functions Resources