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