Unit 3
Trigonometric and Polar Functions
Periodic behavior, sine, cosine and tangent, sinusoidal models, inverse trigonometric functions and polar coordinates.
Topics
- 3.1Periodic Phenomena
- 3.2Sine, Cosine, and Tangent
- 3.3Sine and Cosine Function Values
- 3.4Sine and Cosine Function Graphs
- 3.5Sinusoidal Functions
- 3.6Sinusoidal Function Transformations
- 3.7Sinusoidal Function Context and Data ModelingLesson in progress
- 3.8The Tangent FunctionLesson in progress
- 3.9Inverse Trigonometric FunctionsLesson in progress
- 3.10Trigonometric Equations and InequalitiesLesson in progress
- 3.11The Secant, Cosecant, and Cotangent FunctionsLesson in progress
- 3.12Equivalent Representations of Trigonometric FunctionsLesson in progress
- 3.13Trigonometry and Polar Coordinates
- 3.14Polar Function GraphsLesson in progress
- 3.15Rates of Change in Polar FunctionsLesson in progress
Unit check
10 questions drawn from the 5 lessons written so far in Unit 3. Each wrong answer links back to where the idea is taught.
Labs for this unit
- Topics 1.12, 2.3, 2.4, 2.7, 2.11, 2.12, 3.5 and 3.6 Function Grapher Move a, b, c and d in g(x) = a f(b(x + c)) + d and watch a polynomial, rational, exponential, logarithmic or sine graph transform.
- Topics 3.2 to 3.4 Unit Circle Drag a point around a circle to see an angle's terminal ray, its sine, cosine and tangent, exact values at multiples of π/6 and π/4, and the sine or cosine graph traced as the angle turns.