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Warm UP!. Name the quadrant. 1. 2. 258. Determine a positive and negative coterminal angle. 3. 52 . 4. -36 . Convert from Degrees to Radians or vice versa:. 5. 90 . 6. LG 1-2 THE Unit Circle. Agenda: Notes Practice. Reference angles.
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Warm UP! Name the quadrant. 1. 2. 258 Determine a positive and negative coterminal angle 3. 52 4. -36 Convert from Degrees to Radians or vice versa: 5. 90 6.
LG 1-2 THE Unit Circle Agenda: Notes Practice
Reference angles • the angles formed between the terminal side of an angle in standard position and the closest side of the x-axis. • All reference angles measure between 0o and 90o • You will use reference angles when filling out the unit circle. • They are helpful because you can memorize less of the UC if you use reference angles.
45o 120o 275o 195o
Practice: Find the reference anglesDo the problem number with the number of letters in your first name! • 300o • 210o • 135o • 585o • 30o • 870o • -45o • -200o • -900o • (and up) -314o
The Unit Circle is a circle centered at the origin on the coordinate plane with radius = 1
(0,1) (1,0) First Quadrant 60° 1 90° 30°
(0,1) 45° 1 90° 45° (1,0)
(0,1) 30° 1 60° (1,0)
Memorize these coordinates on the unit circle. We will use them for the rest of the semester!
Unit Circle Videos • Hand-trick for evaluating exact values • Another trick for evaluating • Memorizing the Unit Circle • More memorizing • Unit Circle song • Another Unit Circle song • Reference Angles