Unit Circle (version A) - Quiz
- 1. The magnitude of the radius of a unit circle is
A) 1
B) r
C) π
D) √2/2
E) √3/2
- 2. The sine of an angle is equal to
A) 1
B) r
C) theta
D) y
E) x
- 3. How many degrees in a unit circle?
A) 360
B) 1
C) 180
D) 2π
E) π
- 4. The cosine of an angle is equal to
A) 1
B) r
C) x
D) y
E) theta
- 5. The magnitudes of the maxima and minima of the unit circle's sine and cosine are the same.
A) true
B) false
C) Can't be determined
D) Neither
- 6. The range of a cosine curve from the unit circle
A) -1 to 1
B) 0 to 360
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) 180 degrees
C) 0 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) 270 degrees
B) 180 degrees
C) 90 degrees
D) 0 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) 1/2
B) -√2/2
C) 0
D) √2/2
E) 1
- 11. The cosine of 45 degrees equals
A) -√2/2
B) √3/2
C) √2/2
D) 1/2
E) 45
- 12. 390 degrees is co-terminal with
A) 30 degrees
B) -30 degrees
C) 330 degrees
D) -390 degrees
A) √3/2
B) 180 degrees
C) 1/2
D) 1
E) 0
- 14. π radians is co-terminal with
A) 2π radians
B) 3π/2 radians
C) 3π radians
D) 1/2 radians
E) -π radians
- 15. 3π/4 radians is the same as
A) 45 degrees
B) 3π/2 radians
C) 135 degrees
D) 315 degrees
E) 225 degrees
- 16. Sine and Cosine are both negative in quadrant
A) II
B) III
C) I
D) never
E) IV
- 17. How many radians in a unit circle?
A) π/2
B) 2π
C) 3π/2
D) π
E) 3π
- 18. One cycle of the sine and cosine curve from the unit circle have the same period.
A) False
B) True
C) Neither
D) Can't be determined
- 19. 180 degrees is equal to
A) π radians
B) π/2 radians
C) 2π radians
D) 360 degrees
- 20. The cosine function is negative and the sine function is positive in quadrant
A) IV
B) I
C) II
D) III
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