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