T1.1d To Find Coterminal Angles in Degrees and Radians What do you call a midget psychic on the run from the police? A small medium at large!!

2 Convert to degrees:Convert to π radians (keep in rational form): 13 3 GCF?60° OPENER:

3 Active Learning Assignment Questions?

4 LESSON: Angles are COTERMINAL if they share the same initial and terminal sides, but with a different number of rotations (forwards or backwards). (A rotation is 360° for degrees and 2π for radians.)

5 Looking down at a merry go round, my nephew is 33° away from the ticket booth. Ticket booth Nephew When it goes around the first time, how many degrees will he have gone from the ticket booth? I IV III II 33° +360° 393°

6 Example: Find two coterminal angles, one positive and one negative, to the given angle. Pos: Neg: I IV III II 178° +360° 538° 178° -360° -182° 0°

7 Try: Find two coterminal angles, one positive and one negative, to the given angle. Pos: Neg: I IV III II ° or ° or ° ° 0°

8 Try: Find two coterminal angles, one positive and one negative, to the given angle. Pos: Neg: I IV III II -582° – 360° -942° or -582° +360° -222° -582° +360° +360° 138° 0°

9 Try: Find two coterminal angles, one positive and one negative, to the given angle. If you are given a problem in π radians the answer should be in π radians. Remember this for the test! Pos: Neg: I IV III II

10 Try: Find two coterminal angles, one positive and one negative, to the given angle. Pos: Neg: I IV III II

11 Active Learning Assignment: P. 262: 17 (a-b), 18 (a-b), 19a, 21a TEST ON THIS CHAPTER ON THURSDAY, 1/14 YOU WILL USE ONE OF MY CALCULATORS ON THE TEST. WE WILL HAVE A SMALL QUIZ ON DEFINITIONS ON WEDNESDAY, 1/13. KNOW THESE DEFINITIONS: DegreeUnit CircleAngle Initial Side RadianCoterminal AngleAngle Terminal Side