Trig Tour
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About
Topics
- Trigonometry
- Unit circle
- Sines
- Cosines
- Tangents
Description
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
Sample Learning Goals
- Define trig functions for negative angles and angles greater than 90 degrees.
- Translate between multiple representations of trig functions: as sides of a right triangle inscribed in a unit circle, graph of the function vs. angle, and numerical values of the function.
- Deduce the sign (+, -, 0) of a trig function for any given angle without a calculator using the unit circle concept.
- Estimate the value of trig functions for any given angle without a calculator using the unit circle concept.
- Define exact trig functions for special angles using degrees or radians for angle measures.
For Teachers
Teacher Tips
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Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Teacher-Submitted Activities
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Authors | Level | Type |
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| Trig Tour - Seeing Patterns in a Unit Circle |
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Susan Miller | HS | Guided |
| Trig Tour - Connecting the Unit Circle to the Graph |
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Susan Miller | HS | Guided |
| Trig Tour - Using Reference Angles with a Unit Circle |
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Susan Miller | HS | Guided |
Translations
Related Simulations
Software Requirements
| Windows 7+ | Mac OS 10.7+ | iPad and iPad Mini with iOS | Chromebook with Chrome OS |
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Internet Explorer 10+ latest versions of Chrome and Firefox
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Safari 6.1 and up latest versions of Chrome and Firefox
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latest version of Safari
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latest version of Chrome
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Credits
| Design Team | Third-party Libraries | Thanks To |
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