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- Lengths of Triangle Sides Using the Pythagorean Theorem
- Identifying Sets of Pythagorean Triples
- Pythagorean Theorem to Classify Triangles
- Pythagorean Theorem to Determine Distance
- Lengths of Sides in Isosceles Right Triangles
- Relationships of Sides in 30-60-90 Right Triangles
- Special Triangle Ratios
- Basic Trigonometric Functions
- Sine, Cosine, and Tangent Functions
- Secant, Cosecant, and Cotangent Functions
- Pythagorean Theorem for Solving Right Triangles
- Solving Triangles using Inverse Trigonometric Functions
- Alternate Formula for the Area of a Triangle--OLD--
- Angles of Elevation and Depression
- Right Triangles, Bearings, and other Applications
- Measuring Rotation
- Angles of Rotation in Standard Positions
- Coterminal Angles
- Trigonometric Functions and Angles of Rotation
- Trigonometric Functions of Angles in Standard Position
- Unit Circle
- Reference Angles and Angles in the Unit Circle
- Trigonometric Functions of Negative Angles
- Trigonometric Functions of Angles Greater than 360 Degrees
- Reciprocal Identities
- Domain, Range, and Signs of Trigonometric Functions
- Quotient Identities
- Cofunction Identities and Reflection
- Pythagorean Identities

- Radian Measure
- Conversion between Degrees and Radians
- Six Trigonometric Functions and Radians
- Rotations in Radians
- Length of an Arc
- Area of a Sector
- Length of a Chord
- Angular Velocity
- Sine and Cosecant Graphs
- Sine Graph and Cosine Graph
- Cosine and Secant Graphs
- Tangent and Cotangent Graphs
- Secant Graph and Cosecant Graph
- Translating Sine and Cosine Functions
- Vertical Translations
- Horizontal Translations or Phase Shifts
- Amplitude
- Period
- Period and Frequency
- Amplitude and Period
- General Sinusoidal Graphs
- Identify Transformation from Equation
- Writing Equation from Sketch
- Graphing Tangent, Cotangent, Secant and Cosecant
- Tangent Graphs
- Secant Graphs

- Trigonometric Identities and Equations
- Fundamental Trigonometric Identities
- Trig Identities to Find Exact Trigonometric Values
- Quotient and Reciprocal Identities
- Pythagorean Identity
- Even and Odd Identities
- Cofunction Identities
- Proofs of Trigonometric Identities
- Solving Trigonometric Equations
- Simplifying Trigonometric Expressions
- Simpler Form of Trigonometric Equations
- Trigonometric Equations Using Factoring
- Trigonometric Equations Using the Quadratic Formula
- Solving Trigonometric Equations Using Basic Algebra
- Sum and Difference Identities
- Solving Trigonometric Equations using Sum and Difference Formulas
- Cosine Sum and Difference Formulas
- Sine Sum and Difference Formulas
- Tangent Sum and Difference Formulas
- Finding Exact Trigonometric Values Using Sum and Difference Formulas
- Applications of Sum and Difference Formulas
- Simplifying Trigonometric Expressions using Sum and Difference Formulas
- Double Angle Identities
- Applying Double-Angle Identities
- Simplifying Trigonometric Expressions with Double-Angle Identities
- Solving Equations with Double-Angle Identities
- Finding Exact Trigonometric Values Using Double Angle Identities
- Half Angle Formulas
- Deriving Half-Angle Identities
- Trigonometric Equations Using Half Angle Formulas
- Sum to Product Formulas for Sine and Cosine
- Product to Sum Formulas for Sine and Cosine
- Solving Equations with Product and Sum Formulas
- Triple-Angle Formulas
- Linear Combinations
- Triple-Angle Formulas and Linear Combinations

- Inverse Trigonometric Functions
- Basic Inverse Trigonometric Functions
- Definition of the Inverse of Trigonometric Ratios
- Exact Values for Inverse Sine, Cosine, and Tangent
- Inverse of Functions through Algebraic Manipulation
- Graphing Inverse Trigonometric Functions
- Inverses by Mapping
- Inverses of Trigonometric Functions
- Comparing Trigonometric Functions and Their Inverses
- Composition of Trig Functions and Their Inverses
- Definition of Inverse Reciprocal Trig Functions
- Composition of Inverse Reciprocal Trig Functions
- Trigonometry in Terms of Algebra
- Applications of Inverse Trigonometric Functions

- Law of Cosines
- Derive the Law of Cosines
- Sides of an Oblique Triangle
- Determination of Unknown Angles Using Law of Cosines
- Identify Accurate Drawings of Triangles
- Alternate Formula for the Area of a Triangle
- Derivation of the Triangle Area Formula
- Heron's Formula
- Determination of Unknown Triangle Measures Given Area
- Law of Sines
- Angle-Angle-Side Triangles
- Angle-Side-Angle Triangles
- Solving Triangles Using the Law of Sines
- Ambiguous Case
- Possible Triangles with Side-Side-Angle
- General Solutions of Triangles
- Summary of Triangle Techniques
- Operations with Vectors
- Vector Addition
- Vector Subtraction
- Resultant of Two Displacements
- Directed Line Segments
- Component Vectors
- Vector Multiplied by a Scalar
- Translation of Vectors and Slope
- Unit Vectors and Components
- Resultant as the Sum of Two Components
- Resultant as Magnitude and Direction

- Polar Coordinate System
- Plots of Polar Coordinates
- Distance Between Two Polar Coordinates
- Graphing Basic Polar Equations
- Transformations of Polar Graphs
- Graphing Polar Equations on the Calculator
- Polar to Rectangular Conversions
- Rectangular to Polar Conversions
- Rectangular to Polar Form for Equations
- Converting Equations Using Graphing Calculator
- Intersections of Polar Curves
- Equivalent Polar Curves
- Trigonometric Form of Complex Numbers
- Polar Form of a Complex Number
- Applications of Product and Quotient Theorems
- Product Theorem
- Quotient Theorem
- DeMoivre's Theorem and nth Roots
- DeMoivre's Theorem
- Equations Using DeMoivre's Theorem
- Geometry of Complex Roots

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