Ms. Williams Chapter 10 Quiz Review Trigonometry Name …€¦ · · 2014-03-14Ms. Williams...
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Ms. Williams Chapter 10 Quiz Review Trigonometry Name Date Ms. Williams Page 1 White Plains High School A) 576 B) 288 C) 225 D) 113 1. What is the number of degrees in an angle whose radian measure is ? 2. Convert 3 radians to degrees and express the answer to the nearest minute. 3. Find, to the nearest tenth, the radian measure of . A) B) C) D) 4. What is the radian measure of the smaller angle formed by the hands of a clock at 7 o'clock? 5. Find, to the nearest tenth of a degree , the angle whose measure is 2.5 radians. A) B) C) D) 6. What is the radian measure of an angle whose measure is –420°? 7. The tip of a pendulum describes an arc 18 centimeters long when the pendulum swings through an angle of of a radian. Find the length, in centimeters, of the pendulum. A) 150 B) 165 C) 330 D) 518 8. What is the number of degrees in an angle whose radian measure is ? A) 8 ft B) 50 ft C) 100 ft D) 125 ft 9. A central angle of a circular garden measures 2.5 radians and intercepts an arc of 20 feet. What is the radius of the garden? A) 45 B) 90 C) 100 D) 900 10. The number of degrees equal to radians is A) B) C) D) 11. If placed in standard position, an angle of radians has the same terminal side as an angle 12. Express 315º in radian measure. 13. Express 450º in radian measure.
Transcript of Ms. Williams Chapter 10 Quiz Review Trigonometry Name …€¦ · · 2014-03-14Ms. Williams...
Ms. Williams Chapter 10 Quiz Review TrigonometryName Date
Ms. Williams Page 1 White Plains High School
A) 576 B) 288 C) 225 D) 113
1. What is the number of degrees in an angle whose radianmeasure is ?
2. Convert 3 radians to degrees and express the answer tothe nearest minute.
3. Find, to the nearest tenth, the radian measure of .
A) B) C) D)
4. What is the radian measure of the smaller angle formedby the hands of a clock at 7 o'clock?
5. Find, to the nearest tenth of a degree, the angle whose measure is 2.5 radians.
A) B)
C) D)
6. What is the radian measure of an angle whose measure is–420°?
7. The tip of a pendulum describes an arc 18 centimeterslong when the pendulum swings through an angle of ofa radian. Find the length, in centimeters, of thependulum.
A) 150 B) 165 C) 330 D) 518
8. What is the number of degrees in an angle whose radianmeasure is ?
A) 8 ft B) 50 ft C) 100 ft D) 125 ft
9. A central angle of a circular garden measures 2.5 radiansand intercepts an arc of 20 feet. What is the radius of thegarden?
A) 45 B) 90 C) 100 D) 900
10. The number of degrees equal to radians is
A) B)C) D)
11. If placed in standard position, an angle of radianshas the same terminal side as an angle
12. Express 315º in radian measure.
13. Express 450º in radian measure.
Chapter 10 Quiz Review
Ms. Williams Page 2 White Plains High School
A) B) C) D)
14. A circle is drawn to represent a pizza with a 12 inchdiameter. The circle is cut into eight congruent pieces.What is the length of the outer edge of any one piece ofthis circle?
15. In circle O, a central angle of 2 radians intercepts an arcof 28 meters. Find the length, in meters, of the radius ofthe circle.
A) 28°1' B) 28°4'C) 61°56' D) 61°93'
16. In the right triangle shown below, what is the measureof angle S, to the nearest minute?
A) –1.3376 B) –1.3408C) 1.5012 D) 1.5057
17. The value of csc 138°23' rounded to four decimalplaces is
A)
B)
C)
D)
18. Which expression, when rounded to three decimalplaces, is equal to –1.155?
A) B) C) D)
19. If and , what is ?
A) 0° B) 45° C) 90° D) 180°
20. What is one possible value of in the equation cot = cos ?
21. If the sine of an angle is and the angle is not inQuadrant 1, what is the value of the cosine of the angle?
A) B) C) D)
22. The value of is
A) sin 30° B) –sin 210°C) cos 60° D) –cos 60°
23. Which expression is not equivalent to sin 150°?
24. If , evaluate .
25. If , evaluate .
26. If , evaluate f( ).
27. If , what is ?
A) B) C) D)
28. The value of is
Chapter 10 Quiz Review
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29. If , find the value of
.
A) 1 B) 2 C) –1 D) 0
30. If , then equals
31. If terminates in Quadrant II and , find .
A) B) C) D)
32. The value of is
33. If , find f( ).
A) B) C) D)
34. If and A is in Quadrant I, what is the valueof sin A tan A?
35. If and is not a third–quadrant angle,what is sin ?
A) B) C) D)
36. If sin = and is in Quadrant I what is the value of(tan )(cos )?
A) 0.9315 B) 0.9293C) 0.3638 D) 0.3692
37. What is cos 68° 20'?
A) 1 B) C) D)
38. In the accompanying diagram of a unit circle, theordered pair (x,y) represents the point where theterminal side of intersects the unit circle.
If , what is the value of x?
39. In the accompanying diagram of a unit circle, theordered pair represents the point where theterminal side of intersects the unit circle.
A) B) C) - D)
If , what is the value of ?
A) B)
C) D)
40. The value of is
Chapter 10 Quiz Review
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A) B) C) D)
41. The value of is
42. Express as a single trigonometric function, in simplest form, for all values of x for which it isdefined.
43. Express cos (sec – cos ), in terms of sin .
44. Starting with sin2 A + cos2 A = 1, derive the formula tan2 A + 1 = sec2 A.
A) B) C) csc D) sin
45. The expression cot • sec is equivalent to
A) –tan x B)C) D)
46. The expression 1 – sec x is equivalent to
47. The expression
A) B) C) D)
is equivalent to
48. Base your answer to the following question on Expressin simplest terms:
A) B) C) D)
49. The expression is equivalent to
50. The expression is equivalent to
A) B) C) D)
A) 1 B) b2
C) (1 + b)(1 – b) D) sin x cos x – b
51. The expression sin2x + cos2x – b2 is equivalent to
A) cos B) sec C) csc D) csc cot
52. The expression (tan )(csc ) is equivalent to
Answer KeyChapter 10 - Review
Ms. Williams Page 5 White Plains High School
1. B2. 171º53'3. 3.84. C5. 143.26. A7. 248. B9. A10. C11. C12.
13.
14. C15. 1416. B17. D18. A19. D20. C21. –0.822. D23. D24.25. 126. –127. –128. C29. 230. A31.
32. A33. 234. A35.
36. A37. D38. C39. A40. A41. B42. cos2 x43. sin2 44. Appropriate work is
shown, such asdividing each term bycos2 A.
45. C46. B47. A48. , and
appropriate work isshown.
49. D50. C51. C52. B
