3.1 Periodic Phenomena
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AP Learning Objectives:
3.1.A Construct graphs of periodic relationships based on verbal representations.
3.2.B Describe key characteristics of a periodic function based on a verbal representation.
3.2A Radians
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AP Learning Objectives:
3.2.A Determine the sine, cosine, and tangent of an angle using the unit circle.
3.2B Sine, Cosine, and Tangent
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AP Learning Objectives:
3.2.A Determine the sine, cosine, and tangent of an angle using the unit circle.
3.3A Sine and Cosine Function Values
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AP Learning Objectives:
3.3.A Determine coordinates of points on a circle centered at the origin.
3.3B Sine and Cosine Function Values
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AP Learning Objectives:
3.3.A Determine coordinates of points on a circle centered at the origin.
3.4 Sine and Cosine Function Graphs
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AP Learning Objectives:
3.4.A Construct representations of the sine and cosine functions using the unit circle.
3.5 Sinusoidal Functions
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AP Learning Objectives:
3.5.A Identify key characteristics of the sine and cosine functions.
3.6A Sinusoidal Function Transformations
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AP Learning Objectives:
Lesson 3.6A focuses on amplitude, vertical shift, and period of a sinusoidal function.
Lesson 3.6B focuses on phase shift of a sinusoidal function.
3.6B Sinusoidal Function Transformations
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AP Learning Objectives:
Lesson 3.6A focuses on amplitude, vertical shift, and period of a sinusoidal function.
Lesson 3.6B focuses on phase shift of a sinusoidal function.
3.7 Sinusoidal Function Context and Data Modeling
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AP Learning Objectives:
Unit 3A Review
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3.8 The Tangent Function
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AP Learning Objectives:
3.8.A Construct representations of the tangent function using the unit circle.
3.8.B Describe key characteristics of the tangent function.
3.8.C Describe additive and multiplicative transformations involving the tangent function.
3.9 Inverse Trigonometric Functions
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AP Learning Objectives:
3.9A Construct analytical and graphical representations of the inverse of the sine, cosine, and tangent functions over a restricted domain.
3.10 Trigonometric Equations and Inequalities
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AP Learning Objectives:
3.10.A Solve equations and inequalities involving trigonometric functions.
3.11 Cosecant, Secant, Cotangent Functions
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AP Learning Objectives:
3.11.A Identify key characteristics of functions that involve quotients of the sine and cosine functions.
3.12A Equivalent Representations of Trigonometric Functions
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AP Learning Objectives:
3.12.A Rewrite trigonometric expressions in equivalent forms with the Pythagorean identity.
3.12.C Solve equations using equivalent analytic representations of trigonometric functions.
3.12B Equivalent Representations of Trigonometric Functions
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BAP Learning Objectives:
3.12.B Rewrite trigonometric expressions in equivalent forms with the sine and cosine sum identities.
3.12.C Solve equations using equivalent analytic representations of trigonometric functions.
3.13 Trigonometric and Polar Coordinates
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BAP Learning Objectives:
3.13.A Determine the location of a point in the plane using both rectangular and polar
coordinates.
3.14A Polar Function Graphs
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AP Learning Objectives:
3.14.A Construct Graphs of Polar Functions
3.14B Polar Function Graphs
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AP Learning Objectives:
3.14.A Construct Graphs of Polar Functions
3.15 Rates of Change in Polar Functions
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BAP Learning Objectives:
3.15.A Determine the characteristics of the graph of a polar function.
Unit 3B Review
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