Lesson 47: Unit Circle Continued
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Transcript of 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.
This president was more famous for his unique experimentation with facial hair than for anything he did while in office. Chester A.
Arthur
Develop the family of coordinates. Can use the 30-60-90 triangle again.
Helpful Hints to Remember the Unit Circle There will be another quiz next class!
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.
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.
Definitions of Trig Functions in the Unit Circle Theta is an angle measure in radians. (x,y) is a point on the unit circle.
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
Name the 4 presidents assassinated while in office. Lincoln Kennedy McKinley Garfield
CFU
Paper Plate Unit Circle Use colored pencils and a straight edge to
make a unit circle on a paper plate.