Trigonometry Chapter 1 Test Review ...

Trigonometry Chapter 1 Test Review
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.
1) 59e
2) -79e
3) p
3
Name the quadrant in which the angle lies.
4) 140e
5) 1331e
6) -684e
Find the angle of smallest possible positive measure that is coterminal with the given angle.
7) -198e
8) -87p
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine the degree measure of the given angle.
9)
A) 135e B) 120e C) 45e D) 60e
1

10)
A) 120e B) 150e C) 60e D) 30e
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
11) 39e17'10''
Convert the angle to degrees, minutes, and seconds.
12) -82.98e
Perform the calculation.
13) 56e55 + 322e36
14) 90e - 34e12 51
Convert the angle to radians. Leave as a multiple of p.
15) 30e
Convert the radian measure to degree measure. Use the value of p found on a calculator and round answers to two
decimal places.
16) p
4
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.
17) p
9
Name the quadrant in which the angle lies.
18) -641e
Find the length of the arc intercepted by the given central angle a in a circle of radius r.
19) a = 5.50, r = 23.81 cm
Solve the problem.
20) A wheel is rotating at 3 radians/sec, and the wheel has a 53-inch diameter. To the nearest foot per minute, what
is the linear velocity of a point on the rim?
21) A pulley with a diameter of 30 inches is driven by a belt which is moving 834 ft/min. To the nearest unit, how
many revolutions per minute are made by the pulley?
2

Given that a is an angle in standard position whose terminal side contains the given point, provide the exact value of the
indicated function.
22) (3, 4); sin a
23) (9, 12); cos a
Find the exact value of the following expression without using a calculator.
24) sin 7p
4
25) cos (60e)
26) cos p
6
27) csc(-p/2)
Use a calculator to find the function value to four decimal places.
28) sin (685e)
29) cos (-389e)
Solve the problem.
30) Find sin (a), given that cos (a) = 2
and a is in quadrant IV.
7
Find the reference angle for the given angle.
31) 125e
Solve the right triangle with the given sides and angles.
32) a = 3.8, b = 1.1
33) b = 21.2e, c = 3.3
3

Answer Key
Testname: CHAPTER1REVIEW.TST
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1) 419e, -301e
2) 281e, -439e
3) 7p 5p
, -
3 3
4) II
5) III
6) I
7) 162e
8) p
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
9) C
10) B
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
11) 39.29
12) -82e58'48''
13) 379e31
14) 55e47 9
15) p
6
16) 45e
17) 19p 17p
, -
9 9
18) I
19) 130.955 cm
20) 398 ft/min
21) 106 rpm
22) 4
5
23) 3
5
24) -
25) 1
2
26)
3
2
2
2
27) -1
28) -0.5736
29) 0.8746
30) -
45
7
31) 55e
32) a = 73.9e, b = 16.1e, c = 4.0
33) a = 3.1, a = 68.8e, b = 1.2
1