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Name the quadrant.

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. QUIZ 1-1. After the quiz, we will be working on the UNIT CIRCLE (EXCITING!!!!). The Unit Circle.

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Name the quadrant.

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  1. 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.

  2. QUIZ 1-1 After the quiz, we will be working on the UNIT CIRCLE (EXCITING!!!!)

  3. The Unit Circle is a circle centered at the origin on the coordinate plane with radius = 1

  4. Reference angles • the positive acute angles formed between the terminal side of an angle in standard position and the closest side of the horizontal x-axis. • All reference angles measure between 0o and 90o

  5. 45o 120o 275o 195o

  6. Reference AnglesTo find a reference angle in…

  7. Find the reference angle. c.  = -240° b.  = a.  = 300° 120°, -240° 60° 60° 300° 180°-120° 360° - 300° ref. angle = 60° ref. angle = 60°

  8. Practice: Find the reference angles • 300o • 210o • 135o • 585o • 30o • 870o • -100o

  9. The Unit Circle

  10. The Unit Circle 0

  11. Solve for x: SOHCAHTOA (0,1) Solve for y: hyp 1 y opp 45° 90° (1,0) x adj

  12. Memorize these coordinates on the unit circle. We will use them for the rest of the semester!

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