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  1. Right Triangles

    1. The Pythagorean Theorem
    2. Special Right Triangles
    3. Basic Trigonometric Functions
    4. Solving Right Triangles
    5. Measuring Rotation
    6. Applying Trig Functions to Angles of Rotation
    7. Trigonometric Functions of Any Angle
    8. Relating Trigonometric Functions

  2. Graphing Trigonometric Functions

    1. Radian Measure
    2. Applications of Radian Measure
    3. Circular Functions of Real Numbers
    4. Translating Sine and Cosine Functions
    5. Amplitude, Period and Frequency
    6. General Sinusoidal Graphs
    7. Graphing Tangent, Cotangent, Secant, and Cosecant

  3. Trigonometric Identities and Equations

    1. Fundamental Identities
    2. Proving Identities
    3. Solving Trigonometric Equations
    4. Sum and Difference Identities
    5. Double Angle Identities
    6. Half-Angle Identities
    7. Products, Sums, Linear Combinations, and Applications

  4. Inverse Trigonometric Functions

    1. Basic Inverse Trigonometric Functions
    2. Graphing Inverse Trigonometric Functions
    3. Inverse Trigonometric Properties
    4. Applications and Models

  5. Triangles and Vectors

    1. The Law of Cosines
    2. Area of a Triangle
    3. The Law of Sines
    4. The Ambiguous Case
    5. General Solutions of Triangles
    6. Vectors
    7. Component Vectors

  6. The Polar System

    1. Polar Coordinates
    2. Graphing Basic Polar Equations
    3. Converting Between Systems
    4. More with Polar Curves
    5. The Trigonometric Form of Complex Numbers
    6. The Product and Quotient Theorems
    7. De Moivre’s and the nth Root Theorems