Trig Tour
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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.
Standards Alignment
Common Core - Math
Teacher Tips
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Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Teacher-Submitted Activities
| Trig Tour - Connecting the Unit Circle to the Graph |
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Susan Miller | HS | Guided | Mathematics |
| Trig Tour - Seeing Patterns in a Unit Circle |
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Susan Miller | HS | Guided | Mathematics |
| Trig Tour - Using Reference Angles with a Unit Circle |
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Susan Miller | HS | Guided | Mathematics |
| Mapping of PhET and IBDP Physics | Jaya Ramchandani | HS | Other | Physics | ||
| Preguntas de razonamiento para todas las simulaciones HTML5 |
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Diana López | HS MS UG-Adv Grad K-5 UG-Intro |
HW Discuss |
Chemistry Physics Astronomy Mathematics |
| SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) |
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Diana López | MS HS |
Other | Mathematics Biology Chemistry Physics |
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| PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) |
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Diana López | UG-Intro HS |
Other | Mathematics Chemistry Physics |
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| Trigonometria: Ciclo e identidades (operações com arcos) | Rosalide Carvalho de Sousa e Francisco Régis Vieira Alves | HS | Other | Mathematics | ||
| Figuras y cuerpos geométricos. | Andrés Gualberto Palomo Cuevas | HS | Remote HW |
Mathematics |
HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.
iPad:
iOS 12+ Safari
iPad compatible sims
Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.
Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims
Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.
Macintosh Systems:
macOS 10.12+, Safari 12+, latest version of Chrome.
Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.
| Design Team | Third-party Libraries | Thanks To |
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