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Coterminal and Reference Angles (Grades 11-12)

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Coterminal and Reference Angles

1. 
Reference angles must be
  1. in degrees.
  2. positive and acute.
  3. positive and obtuse.
  4. in radians.
2. 
Co-terminal angles are angles that share a terminal side.
  1. True
  2. False
3. 
What is the reference angle for [math](5pi)/6[/math]?
  1. [math]pi/6[/math]
  2. [math]pi/3[/math]
  3. [math]2pi/6[/math]
  4. [math]2pi/3[/math]
4. 
What is the reference angle for [math]170deg[/math]?
  1. 190°
  2. 80°
  3. 100°
  4. 10°
5. 
What reference angle would be used to calculate the trig function values for [math]120deg[/math]?
  1. [math]0deg[/math]
  2. [math]30deg[/math]
  3. [math]45deg[/math]
  4. [math]60deg[/math]
  5. [math]90deg[/math]
6. 
What is the reference angle for 210°?
  1. 30°
  2. 45°
  3. 150°
  4. none of the above
7. 
The terminal side of an angle measuring [math](-2pi)/3[/math] radians lies in which quadrant?
  1. Quadrant 1
  2. Quadrant 2
  3. Quadrant 3
  4. Quadrant 4
8. 
The terminal side of a [math]-1545deg[/math] angle lies in what quadrant?
  1. Q I
  2. Q II
  3. Q III
  4. Q IV
9. 
Which of the following is coterminal to [math]-(5pi)/12[/math] ?
  1. [math]-(7pi)/12[/math]
  2. [math](5pi)/12[/math]
  3. [math](7pi)/12[/math]
  4. [math](17pi)/12[/math]
  5. [math](19pi)/12[/math]
10. 
Which of these angles is coterminal to [math]35deg[/math]?
  1. 325°
  2. -325°
  3. 145°
  4. 215°
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