Trigonometric Functions 1. Estimate the angle to the nearest one-half radian. A) B) C) D) E) Ans

96 Pages·2007·0.52 MB·English

Chapter 4: Trigonometric Functions
1. Estimate the angle to the nearest one-half radian.

A)

B)

C)

D)

E)

Ans: B
Learning Objective: Estimate radian measure of angle
Section: 4.1

2. Determine the quadrant in which the angle lies. (The angle measure is given in radians.)
8π
9
A) II B) III C) IV D) I E) The angle lies on a coordinate axis.
Ans: A
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

3. Determine the quadrant in which the angle lies. (The angle measure is given in radians.)
–5π
8
A) III B) IV C) I D) II E) The angle lies on a coordinate axis.
Ans: A
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

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Chapter 4: Trigonometric Functions
4. –6,
Determine the quadrant in which the angle given in radians, lies.
A) 1 B) 3 C) 4 D) 2
Ans: A
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

5. 8,
Determine the quadrant in which the angle given in radians, lies.
A) 1 B) 3 C) 4 D) 2
Ans: D
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

6. Determine the quadrant in which an angle, θ, lies if θ=5.50 radians.
A) 1st quadrant B) 2nd quadrant C) 3rd quadrant D) 4th quadrant
Ans: D
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

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Chapter 4: Trigonometric Functions
7. Sketch the angle in standard position.

A)

B)

C)

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Chapter 4: Trigonometric Functions

D)

E) None of these
Ans: A
Learning Objective: Sketch angle in standard position
Section: 4.1

8. π
.
Determine a pair of coterminal angles (in radian measure) to the angle 3
A) 4π 2π D) 7π 5π
, – , –
3 3 3 3
B) 7π 4π E) 7π 2π
, , –
3 3 3 3
C) 10π 2π
, –
3 3
Ans: D
Learning Objective: Identify angles coterminal to a given angle
Section: 4.1

9. Determine two angles (one positive and one negative, in radian measure) coterminal to
π
.
the angle 8
A) 9π 15π D) 25π 23π
, − , −
8 8 8 8
B) 33π 23π E) 33π 15π
, − , −
8 8 8 8
C) 9π 39π
, −
8 8
Ans: E
Learning Objective: Identify angles coterminal to a given angle
Section: 4.1

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Chapter 4: Trigonometric Functions
10. Determine a positive angle and a negative angle (in radian measure) coterminal to the
π
− .
angle 2
3π 5π π 3π π 3π 3π π π 5π
, − , − , − , − , −
A) 2 2 B) 2 2 C) 1 2 D) 2 2 E) 2 2
Ans: A
Learning Objective: Identify angles coterminal to a given angle
Section: 4.1

11. 4π
θ=
Determine two coterminal angles (one positive and one negative) for 5 .
A) 9π 11π D) 11π 3π
, − , −
5 5 5 5
B) 16π 14π E) 8π 2π
, − , −
5 5 5 5
C) 14π 6π
, −
5 5
Ans: C
Learning Objective: Determine two coterminal angles (radians)
Section: 4.1

12. π
Find (if possible) the complement of 14.
13π 11π 13π 3π
A) 28 B) 28 C) 14 D) 7 E) not possible
Ans: D
Learning Objective: Identify the complement of an angle
Section: 4.1

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Chapter 4: Trigonometric Functions
13. Find (if possible) the complement and supplement of the given angle.

A)

B)

C)

D)

E)

Ans: C
Learning Objective: Identify complement and supplement of angle
Section: 4.1

14. 11π
Find (if possible) the supplement of 13 .
2π 5π 12π 11π
A) 13 B) 13 C) 13 D) 26 E) not possible
Ans: A
Learning Objective: Identify the supplement of an angle
Section: 4.1

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Chapter 4: Trigonometric Functions
15. Estimate, to the tens place, the number of degrees in the angle.

A)

B)

C)

D)

E)

Ans: E
Learning Objective: Estimate degree measure of angle
Section: 4.1

16. Determine the quadrant in which the angle lies.
–245°
A) Quadrant III B) Quadrant II C) Quadrant IV D) Quadrant I
Ans: B
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

17. Determine the quadrant in which the angle 41(cid:68) lies.
A) 2 B) 3 C) 1 D) 4
Ans: C
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

18. Determine the quadrant in which the angle 12.3° lies.
A) Quadrant II B) Quadrant I C) Quadrant III D) Quadrant IV
Ans: B
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

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Chapter 4: Trigonometric Functions
19. Determine the quadrant in which the angle –220°35' lies.
A) Quadrant III B) Quadrant II C) Quadrant IV D) Quadrant I
Ans: B
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

20. –184(cid:68)22'
Determine the quadrant in which the angle lies.
A) 3 B) 2 C) 1 D) 4
Ans: B
Learning Objective: Identify the quadrant in which an angle lies
Section: 4.1

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Chapter 4: Trigonometric Functions
21.
Sketch the angle in standard position.
A) D)

B) E) None of these

C)

Ans: B
Learning Objective: Sketch angle in standard position
Section: 4.1

22. Determine a pair of angles (one positive and one negative) in degree measure coterminal
to the angle 69(cid:68).
A) 249(cid:68), –111(cid:68) D) 138(cid:68), −69(cid:68)
B) 429(cid:68), –291(cid:68) E) 249(cid:68), –291(cid:68)

C) 369(cid:68), –231(cid:68)

Ans: B
Learning Objective: Identify angles coterminal to a given angle
Section: 4.1

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Chapter 4: Trigonometric Functions
23. Determine two coterminal angles (one positive and one negative) for the given angle.
Give your answer in degrees.

Ans: Answers may vary. One possible response is given below.

Learning Objective: Identify angles coterminal to a given angle
Section: 4.1

24. Determine two coterminal angles (one positive and one negative) for the given angle.
Give your answer in degrees.
θ=280°
Ans: Answers may vary. One possible response is given below.
–80°,640°

Learning Objective: Find two angles coterminal with given angle - degree measure
Section: 4.1

25. Determine two coterminal angles (one positive and one negative) for θ= –487°.
A) 143°, –217° D) 233°, –127°

B) 323°, –397° E) 233°, –307°

C) 143°, –307°

Ans: D
Learning Objective: Determine two coterminal angles (degrees)
Section: 4.1

26. Find (if possible) the complement and supplement of the given angle.
49°
A) complement: 131°; supplement: 41° D) complement: 41°; supplement: 311°
B) complement: 49°; supplement: 131° E) complement: 41°; supplement: 131°
C) complement : 131°; supplement:
311°
Ans: E
Learning Objective: Identify the supplement and complement of an angle
Section: 4.1

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