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3.1
Periodic Phenomena
Repeating patterns, period, cycles, and modeling real-world phenomena
3.2
Sine, Cosine, and Tangent
Definitions on the unit circle and key angle values
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3.3
Sine and Cosine Function Values
Evaluating trig functions at standard angles
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3.4
Sine and Cosine Function Graphs
Period, amplitude, and basic graph shape
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3.5
Sinusoidal Functions
Transformations: amplitude, period, phase shift, vertical shift
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3.6
Sinusoidal Function Transformations
Writing equations from graphs and real-world contexts
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3.7
Sinusoidal Function Context and Data Modeling
Fitting sinusoidal models to real data
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3.8
The Tangent Function
Graph, period, asymptotes, and behavior of tan(x)
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3.9
Inverse Trigonometric Functions
arcsin, arccos, arctan β domains, ranges, and graphs
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3.10
Trigonometric Equations and Inequalities
Solving equations involving sin, cos, and tan
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3.11
The Pythagorean Identity
sinΒ²ΞΈ + cosΒ²ΞΈ = 1 and its applications
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3.12
Equivalent Representations of Trigonometric Functions
Identities, co-function, and symmetry relationships
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3.13
Polar Coordinates
The (r, ΞΈ) system and converting to/from rectangular
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3.14
Polar Function Graphs
Circles, rose curves, limaçons, and cardioids
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3.15
Rates of Change in Polar Functions
Interpreting how r changes with respect to ΞΈ
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