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