30–35% of the AP exam. Key topics: Periodic Phenomena (period, midline, amplitude; identifying cycles), Sine, Cosine, and Tangent (unit circle definitions; exact values at key angles), Sine and Cosine Function Values (reference angles; all-quadrant evaluation), Sine and Cosine Function Graphs (key features; transformations), Sinusoidal Functions (A·sin(B(x–C))+D form; fitting to data), Sinusoidal Function Transformations, Sinusoidal Function Context and Data Modeling, The Tangent Function (undefined values; period π; behavior near asymptotes), Inverse Trigonometric Functions (restricted domains; range of arcsin/arccos/arctan), Trigonometric Equations and Inequalities (general solutions; unit circle), The Secant, Cosecant, and Cotangent Functions (reciprocal identities), Equivalent Representations of Trigonometric Functions (Pythagorean identities), Trigonometry and Polar Coordinates (r, θ; converting between polar and Cartesian), Polar Function Graphs (circles, limaçons, rose curves; key features), Rates of Change in Polar Functions.
Study guide content for this unit is being prepared. Check back soon for complete lesson notes, formula sheets, and worked examples.
