Precalculus

  1. Trigonometric Functions
    1. Angles and Their Measure
      1. Angle Terminology
        1. Initial Side
          1. Terminal Side
            1. Vertex
            2. Degree Measure
              1. Radian Measure
                1. Definition of Radian
                  1. Converting Between Degrees and Radians
                  2. Coterminal Angles
                    1. Finding Coterminal Angles
                      1. Reference Angles
                      2. Arc Length
                        1. Formula and Applications
                        2. Sector Area
                          1. Formula and Applications
                          2. Linear and Angular Speed
                            1. Definitions and Relationships
                          3. The Unit Circle
                            1. Definition and Properties
                              1. Coordinates on the Unit Circle
                                1. Special Angles
                                  1. 30°, 45°, 60° and Their Multiples
                                    1. Quadrantal Angles
                                    2. Reference Angles
                                      1. Finding Reference Angles
                                        1. Using Reference Angles
                                      2. Trigonometric Functions
                                        1. Definition Using the Unit Circle
                                          1. Sine Function
                                            1. Cosine Function
                                              1. Tangent Function
                                                1. Cotangent Function
                                                  1. Secant Function
                                                    1. Cosecant Function
                                                    2. Signs of Trigonometric Functions in Each Quadrant
                                                      1. Evaluating Trigonometric Functions
                                                        1. Special Angles
                                                          1. Using Reference Angles
                                                            1. Using Calculator
                                                            2. Domain and Range of Trigonometric Functions
                                                              1. Period of Trigonometric Functions
                                                                1. Even and Odd Trigonometric Functions
                                                                2. Right Triangle Trigonometry
                                                                  1. The Six Trigonometric Ratios
                                                                    1. Sine (opposite/hypotenuse)
                                                                      1. Cosine (adjacent/hypotenuse)
                                                                        1. Tangent (opposite/adjacent)
                                                                          1. Cotangent (adjacent/opposite)
                                                                            1. Secant (hypotenuse/adjacent)
                                                                              1. Cosecant (hypotenuse/opposite)
                                                                              2. Special Right Triangles
                                                                                1. 45-45-90 Triangle
                                                                                  1. 30-60-90 Triangle
                                                                                  2. Solving Right Triangles
                                                                                    1. Finding Missing Sides
                                                                                      1. Finding Missing Angles
                                                                                      2. Applications
                                                                                        1. Angle of Elevation
                                                                                          1. Angle of Depression
                                                                                            1. Surveying Problems
                                                                                          2. Graphs of Trigonometric Functions
                                                                                            1. Graph of Sine Function
                                                                                              1. Basic Shape and Properties
                                                                                                1. Amplitude
                                                                                                  1. Period
                                                                                                    1. Phase Shift
                                                                                                      1. Vertical Shift
                                                                                                      2. Graph of Cosine Function
                                                                                                        1. Basic Shape and Properties
                                                                                                          1. Amplitude
                                                                                                            1. Period
                                                                                                              1. Phase Shift
                                                                                                                1. Vertical Shift
                                                                                                                2. Graph of Tangent Function
                                                                                                                  1. Basic Shape and Properties
                                                                                                                    1. Period
                                                                                                                      1. Vertical Asymptotes
                                                                                                                        1. Phase Shift
                                                                                                                        2. Graph of Cotangent Function
                                                                                                                          1. Basic Shape and Properties
                                                                                                                            1. Period
                                                                                                                              1. Vertical Asymptotes
                                                                                                                              2. Graph of Secant Function
                                                                                                                                1. Basic Shape and Properties
                                                                                                                                  1. Period
                                                                                                                                    1. Vertical Asymptotes
                                                                                                                                      1. Relationship to Cosine
                                                                                                                                      2. Graph of Cosecant Function
                                                                                                                                        1. Basic Shape and Properties
                                                                                                                                          1. Period
                                                                                                                                            1. Vertical Asymptotes
                                                                                                                                              1. Relationship to Sine
                                                                                                                                              2. Transformations of Trigonometric Graphs
                                                                                                                                                1. Amplitude Changes
                                                                                                                                                  1. Period Changes
                                                                                                                                                    1. Phase Shifts
                                                                                                                                                      1. Vertical Shifts
                                                                                                                                                        1. Combinations of Transformations
                                                                                                                                                      2. Inverse Trigonometric Functions
                                                                                                                                                        1. Inverse Sine Function
                                                                                                                                                          1. Domain and Range
                                                                                                                                                            1. Graph
                                                                                                                                                              1. Notation
                                                                                                                                                              2. Inverse Cosine Function
                                                                                                                                                                1. Domain and Range
                                                                                                                                                                  1. Graph
                                                                                                                                                                    1. Notation
                                                                                                                                                                    2. Inverse Tangent Function
                                                                                                                                                                      1. Domain and Range
                                                                                                                                                                        1. Graph
                                                                                                                                                                          1. Notation
                                                                                                                                                                          2. Evaluating Inverse Trigonometric Functions
                                                                                                                                                                            1. Exact Values
                                                                                                                                                                              1. Calculator Use
                                                                                                                                                                              2. Compositions Involving Inverse Functions
                                                                                                                                                                                1. Trigonometric Function of Inverse Function
                                                                                                                                                                                  1. Inverse Function of Trigonometric Function

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                                                                                                                                                                              4. Exponential and Logarithmic Functions

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                                                                                                                                                                              6. Analytic Trigonometry