Learning Goal
Part of: Extend the domain of trigonometric functions using the unit circle — 2 of 4 cluster items
Extend trigonometric functions using unit circle
**HSF.TF.A.2**: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
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HSF.TF.A.2: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
What you'll learn
- Define sine and cosine as the y- and x-coordinates of a point on the unit circle corresponding to a given angle
- Evaluate sine and cosine for angles in all four quadrants using the unit circle
- Determine the signs of sine and cosine in each quadrant and explain why using coordinates
- Extend the definitions to negative angles (clockwise rotation) and angles greater than 2pi
- Find reference angles and use them to evaluate trigonometric functions for non-first-quadrant angles
- Explain how the unit circle allows trigonometric functions to accept any real number as input
Prerequisites
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises