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Unit Circle (version A)
Contributed by: Staublin
  • 1. The magnitude of the radius of a unit circle is
A) r
B) √3/2
C) 1
D) π
E) √2/2
  • 2. The sine of an angle is equal to
A) 1
B) r
C) y
D) x
E) theta
  • 3. How many degrees in a unit circle?
A) 1
B) 2π
C) 180
D) 360
E) π
  • 4. The cosine of an angle is equal to
A) x
B) r
C) theta
D) 1
E) y
  • 5. The magnitudes of the maxima and minima of the unit circle's sine and cosine are the same.
A) true
B) Neither
C) false
D) Can't be determined
  • 6. The range of a cosine curve from the unit circle
A) 0 to 2π
B) -1 to 1
C) -infinity to +infinity
D) 0 to 360
  • 7. For the unit circle, the zero of the sine function occur
A) 180 degrees
B) 0 degrees
C) Both 0 and 180 degrees
D) 90 and 270 degrees
E) neither 0 nor 180 degrees
  • 8. The maximum value of the cosine curve for the unit circle occurs at
A) 0 degrees
B) 180 degrees
C) 90 degrees
D) 270 degrees
  • 9. For the unit circle, if I translate the sine curve XXX radians, it will be in the same position as the cosine curve.
A) π/2
B) -π/2
C) π
D) -π
E) 2π
  • 10. The sine of 90 degrees equals
A) √2/2
B) 1/2
C) 0
D) 1
E) -√2/2
  • 11. The cosine of 45 degrees equals
A) -√2/2
B) √2/2
C) 45
D) 1/2
E) √3/2
  • 12. 390 degrees is co-terminal with
A) -30 degrees
B) 330 degrees
C) 30 degrees
D) -390 degrees
  • 13. The sine of π is
A) 0
B) 1
C) 1/2
D) √3/2
E) 180 degrees
  • 14. π radians is co-terminal with
A) -π radians
B) 2π radians
C) 3π/2 radians
D) 3π radians
E) 1/2 radians
  • 15. 3π/4 radians is the same as
A) 45 degrees
B) 135 degrees
C) 225 degrees
D) 3π/2 radians
E) 315 degrees
  • 16. Sine and Cosine are both negative in quadrant
A) I
B) IV
C) never
D) III
E) II
  • 17. How many radians in a unit circle?
A) π/2
B) 3π/2
C) 3π
D) 2π
E) π
  • 18. One cycle of the sine and cosine curve from the unit circle have the same period.
A) False
B) Neither
C) Can't be determined
D) True
  • 19. 180 degrees is equal to
A) 2π radians
B) π/2 radians
C) 360 degrees
D) π radians
  • 20. The cosine function is negative and the sine function is positive in quadrant
A) IV
B) III
C) II
D) I
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