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Unit 6 Trig

Unit 6 Trig. Angles in Degree & Radian Measure w/Unit Circle. Angle Measure . Standard Position : an angle in the coordinate plane with vertex at the origin and one ray(side) on the positive x-axis. Initial side : the ray on the x-axis Terminal side: the other side of the angle. y.

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Unit 6 Trig

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  1. Unit 6 Trig Angles in Degree & Radian Measure w/Unit Circle

  2. Angle Measure • Standard Position: an angle in the coordinate plane with vertex at the origin and one ray(side) on the positive x-axis. • Initial side: the ray on the x-axis • Terminal side: the other side of the angle. y Angle Measure o x

  3. Unit circle 900 ? 1200 600 ANGLE MEASURE ? 450 ? 1350 300 1500 3600 1800 00 ? ? 2100 3300 2250 ? 3150 ? 2400 3000 2700 ?

  4. Degree measure What is a angle that is coterminal with -225o? 0o & 3600 are Coterminal angles b/c they have the same terminal side • How many degrees in a circle? (One full revolution) 90o 135o ? 180o y y 0o 360o Is 495o coterminal with the above angles? x x 270o The measure is negative when the rotation is clockwise.

  5. White board practice Sketch each angle, can you find another that is coterminal? -315o 405o 45o ? 315o ? -150o ? 45o -150o y 315o 210o -510o x -45o 675o

  6. Radian Measures To convert Radians measure to Degree multiply by • Radian is a another unit of measure for angles (in terms of pi) • To convert Degree measure to Radians multiply by Convert to radian measure Convert to degree measure 150o -60o 150o y -60o x

  7. Unit circle 900 ? 1200 600 ANGLE MEASURE RADIANS 450 ? 1350 300 1500 1800 360o ? 2100 3300 2250 ? 3150 ? 2400 3000 2700 ?

  8. Draw an angle with the given measure. It might help to convert to degrees Look at unit circle: can you find it?

  9. Answer: 350o

  10. Answer:

  11. Practice • angle measure: pg 832 #13-25 • Radians pg 840 #7-15 odd, 26-33

  12. Homework • Workbook pg 343 #4-11 • Work book pg 347 #1-11, 21-26

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