Question

1. What is the point on the unit circle associated to the rotation of 90°? A. (1, 0) B. (0, 1)
C. (-1, 0) D. (0, -1)
2. A point is in Quadrant-III and on the unit circle. If its x-coordinate is −4 5
, what is the y-coordinate of the point?
A. 3 5 B. −3 5
C. −2 5 D. 5 3
3. How can an angle measure be converted from degrees to radians? A. Multiply the degree measure by 360° B. Multiply the degree measure by 180°
C. Multiply the degree measure by 270° D. Multiply the degree measure by 90°
4. What is the equivalent degree measure of 3 4
radians?
A. 45° B. 90°
C. 135° D. 180°
5. What is the point on the unit circle associated to the rotation of 5 4
?
A. (√2 2
,√2 2
)
B. (−√2 2
,−√2 2
)
C. (√3 2
,
1 2
)
D. (−√3 2
,−
1 2
)
6. What is the coterminal angle of 30°? A. 70° B. 150°
C. 210° D. 330°
7. In which quadrant is the terminal side of an angle in standard position located if it measures 2π/3? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV
8. In which quadrant is the terminal side of an angle in standard position located if it measures 1330˚? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV
9. What is the measure of the reference angle for an angle of −310 in standard position? A. 310 o B. 50 o C. -50 o D. -310 o
10. Which of the following is equal to
5 6
?
A. 60o B. 150o
C. 210o D. 330o
11. If a moving point generates an angle equal to 45o, what is the value of the cosine function at that point? A. √3 2 B. √2 2 C. 1 2 D. √3 3 12. Which of the following is true about P (√2 2 , √2 2 )? A. P is on the unit circle B. P is outside the unit circle C. P is inside the unit circle D. P is at the center of the unit circle
13. Which of the following is equal to (−45)? A. (45) B. (220)
C. (135) D. (−135)
14. Which of the following is not a point on the unit circle? A. (√2 2 ,−√2 2 ) B. (√3 2 ,−√2 2 )
C. (1 2
,√3 2
)
D. (−√3 2
,−
1 2
)
15. The terminal point of an arc in a unit circle is at and lies in the second quadrant. If sin = 12 13 , what is the secant value of ? A. 13 12 B. −12 5 C. − 5 12 D. − 5 13
16. What is the reference angle in radians of the angle that measures 270o? A. B. 3 C. 4

D. 6
17. What is 85 in radians? A. 85 radians B. 15300 radians
C. 17 36 radians D. 17 36  radians
18. What is −240 in radians? A. –240 rad B. −4 3 rad
C. −43200 rad D. −4 3  rad
19. What is –6 radians in degrees? A. –1080 B. –344
C. –19 D. –2
20. What is the value of sin 5 6
?
A. – 1 B. −1 2
C. 1 2 D. 1

Answer 1

Step-by-step explanation:

What is the coterminal angle of 30°? A. 70° B. 150°

C. 210° D. 330°

7. In which quadrant is the terminal side of an angle in standard position located if it measures 2π/3? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV

8. In which quadrant is the terminal side of an angle in standard position located if it measures 1330˚? A. Quadrant I B. Quadrant II C. Quadrant