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