Math 3‎ > ‎

### Trigonometric Functions

 15.1 Determine basic characteristics of periodic functions (midline, amplitude, and period) given a graphExplanation:Khan Video: Features of sinusoidal functionsKhan Article: Midline, amplitude, and period reviewvideo of the frequency of noise and waterPractice Problems:Desmos Activity: Functions Carnival (teacher use only; skip to the Ferris Wheel problem).More Ferris Wheel Problems with GeobraKhan Exercise: Midline of sinusoidal functions from graphKhan Exercise: Amplitude of sinusoidal functions from graphKhan Exercise: Period of sinusoidal functions from graph (challenge: uses radians and uses points that are 1 revolution, 1/2 of a revolution, or 1/4 of a revolution)Worksheet #1Worksheet #215.2 Convert Angle Measures between Degrees and Radians; Label the angles on a unit circleExplanation: Notes | AnnotatedVideos:Khan: Introduction to RadiansKhan: Radians & degreesKhan: Degrees to radiansKhan: Radians to degreesWebsite that animates the number of radians in a circleExplanation and extra examples from purplemath (at the bottom of the page)Practice Problems:Khan Exercise: Radians & degreesWorksheet #1Worksheet #215.3 Find the Trig Ratios on the Unit Circle (all six)Explanation:Review six ratiosKhan video: Unit circleKhan video: The trig functions & right triangle trig ratiosKhan article: Trig unit circle reviewDesmos graph (physical distances of all six trig ratios)Practice Problems:QuizletKhan Exercise: Trig values of special angles (only sine and cosine)Worksheet #1Worksheet #215.4 Determine basic characteristics of periodic functions (midline, amplitude, and period) given an equationExplanation:Khan video: Amplitude & period of sinusoidal functions from equationPractice Problems:Khan Exercise: Midline of sinusoidal functions from equationKhan Exercise: Amplitude of sinusoidal functions from equationKhan Exercise: Period of sinusoidal functions from equation15.4 Graph Transformations of Sine and Cosine FunctionsExplanation:Notes | AnnotatedGraphs from the Unit Circle Task DirectionsSine Graph on desmosCosine Graph on desmosKhan video: Graph of y=sin(x)Khan video: Transforming sinusoidal graphs: vertical & horizontal stretchesPractice Problems:Graphs from the Unit Circle WSDesmos Activity: Polygraph: Sinusoids with Vertical Transformations (Teacher use only)Khan exercise: Graph sinusoidal functions (challenging)Desmos Activity: Trigonometric Graphing: Introduction to Amplitude and Vertical Shift (Teacher use only)Desmos Activity: Graphing the Sine Function using Amplitude, Period, and Vertical Translation (Teacher use only)Worksheet #1Worksheet #215.5 Graph Tangent and Cotangent FunctionsExplanation:Notes | AnnotatedKhan video: Graph of y=tan(x)Practice Problems:ReviewSummary NotesPractice Problems:Cumulative Review #3 WS