Circular Functions and Trigonometry

  1. Angles and Their Measures
    1. Degrees and Radians
    2. Arc Length and Area of a Sector
    3. Angles in Standard Position and Coterminal Angles
    4. Angles in Quadrant
    5. The Reference Angle
  2. The Unit Circle
    1. Coordinates of Points on the Unit Circle
      • One Coordinate is Given
    2. Coordinates of Points on the Unit Circle
      • In the Form 180on + A
      • In the Form 90on + A
  3. Sine and Cosine Funtions
    1. The Sine and Cosine Functions
    2. Values of the Sine and Cosine Functions
    3. Graphs of the Sine and Cosine Functions
    4. Properties of the Sine and Cosine Functions
    5. Mathematical Models of Sine and Cosine Functions
  4. The Tangent Function
    1. Tangent Function
    2. Graph of the Tangent Function
    3. Properties of the Tangent Function
    4. Relationships among Sine, Cosine, and Tangent Functions
  5. Trigonometric Identities
    1. The Fundamental Identities
    2. Sum and Difference Formula
      • Sine of the Sum and Difference of Two Angles
      • Cosine of the Sum and Difference of Two Angles
  6. Trigonometric Funtions of Angles
    1. Values of the Function of an Angles
  7. Simple Trigonometric Equations
    1. Solving a Trigonometric Equation
  8. Right Triangle Trigonometry
    1. Solving a Right Triangle
    2. Application of the Trigonometric Funtions
  9. The Law of Sines
  10. The Law of Cosines