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Lesson 47: Unit Circle Continued

Lesson 47: Unit Circle Continued. Presidential Trivia. Unit Circle Quiz. Proof of how coordinates are generated for the family. Proof of coordinates for the family of angles. See if you can prove this using the Pythagorean theorem.

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Lesson 47: Unit Circle Continued

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  1. Lesson 47: Unit Circle Continued Presidential Trivia

  2. Unit Circle Quiz

  3. Proof of how coordinates are generated for the family

  4. Proof of coordinates for the family of angles • See if you can prove this using the Pythagorean theorem.

  5. This president was more famous for his unique experimentation with facial hair than for anything he did while in office. • Chester A. Arthur

  6. Develop the family of coordinates. • Can use the 30-60-90 triangle again.

  7. Helpful Hints to Remember the Unit Circle • There will be another quiz next class!

  8. Unit Circle Trig • Review: SOH CAH TOA • For any right triangle the trig ratios will work • What happens when we get angles greater than 90, negative angles etc? • We can use the Unit Circle to redefine the trig ratios.

  9. Definition of Trig Ratios in Unit Circle • Draw the Unit Circle on the coordinate plane. • Drop an altitude and create a right triangle with angle theta. • Define each of the trig ratios based on this generic triangle.

  10. Definitions of Trig Functions in the Unit Circle • Theta is an angle measure in radians. • (x,y) is a point on the unit circle.

  11. Examples: • Find each of the requested trig ratios on the unit circle: • Step 1: Find a co-terminal angle between 0 and • Step 2: Use the trig functions to evaluate the sin or cos

  12. Name the 4 presidents assassinated while in office. • Lincoln • Kennedy • McKinley • Garfield

  13. CFU

  14. Paper Plate Unit Circle • Use colored pencils and a straight edge to make a unit circle on a paper plate.

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