Download MATH 1316-TEST 1 REVIEW

MATH 1316-TEST 1 REVIEW
Solve the problem.
1) Find the complement of an angle whose
measure is 8°.
The triangles are similar. Find the angle or side that
corresponds to the given angle or side in the other
triangle.
11) B
2) Find the supplement of an angle whose
measure is 36°.
Find the measure of each angle in the problem.
3)
The triangles are similar. Find the missing side, angle or
value of the variable.
12)
4) Complementary angles with measures 4x and
5x - 18 degrees
a = 41
b = 40
c=9
d = 82
e = 80
Perform the calculation.
5) 71°21 - 11°46
Convert the angle to decimal degrees and round to the
nearest hundredth of a degree.
6) 56°54 8
Solve the problem. Round answers to the nearest tenth if
necessary.
13) A tree casts a shadow 18 m long. At the same
time, the shadow cast by a 64-centimeter-tall
statue is 65 cm long. Find the height of the tree.
Convert the angle to degrees, minutes, and seconds.
7) 120.98°
14) A triangle drawn on a map has sides of lengths
9 cm, 10 cm, and 15 cm. The shortest of the
corresponding real-life distances is 134 km.
Find the longest of the real-life distances.
Find the angle of smallest possible positive measure
coterminal with the given angle.
8) -197°
Find the tangent of the angle.
7
15) cot = 7
9) 871°
Use the properties of angle measures to find the measure
of each marked angle.
10) Find the measure of the marked angles.
Use the appropriate identity to find the indicated function
value. Rationalize the denominator, if applicable. If the
given value is a decimal, round your answer to three
decimal places.
16) cos , if sec = -4
a = (x + 18)°
b = (x + 106)°
Give the signs of the trigonometric functions.
17) csc (-119°) and cot (-119°)
1
Decide whether the statement is possible or impossible.
18) sin = 6.28
Find the length of the third side of the right triangle.
29)
9 km
Suppose that is in standard position and the given point
is on the terminal side of . Give the exact value of the
indicated trig function for .
19) (18, 24); Find cos .
b
Write in terms of the cofunction of a complementary
angle.
30) sin 78°
20) (-3, 8); Find tan .
21) (3, 4); Find sin .
31) tan 76°
Find the exact values of the indicated trigonometric
functions. Write fractions in lowest terms.
22)
Find a solution for the equation. Assume that all angles
are acute angles.
32) sec( + 3°) = csc( 2 + 0°)
40
24
15 km
Solve the problem.
33) Find the exact value of x in the figure.
32
Find sin A and tan A.
23)
16
60
68
x
32
Find sec A and csc A.
Use a calculator to find the function value to four decimal
places.
34) cot (22.5°)
Without using a calculator, give the exact trigonometric
function values with rational denominators.
24) cos 30°
35) 10 cos , if
25) tan 60°
= 45°
Solve for the requested quantity.
36) Find b. Round your answer to the hundredths
place.
26) tan 45°
27) sec 45°
63.5 ft
28) sec 30°
2
37) Find c. Round your answer to the hundredths
place.
374.3 m
Find the quadrant that contains the terminal side of angle
.
38) sec > 0 and cot < 0
Solve the right triangle with the given sides and angles.
39) a = 3.5, b = 2.9
40) a = 1.9,
= 41.8°
3
Answer Key
Testname: 1316-T1REVIEW-2015
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
82°
144°
40° and 50°
48° and 42°
59°35
56.90°
120°58 48
163°
151°
28°, 32°, 120°
T
x = 18
17.7 m
223.3 km
tan = - 7
1
16) 4
17) - and +
18) Impossible
3
19)
5
8
3
20) 21)
4
5
22) sin A =
4
4
; tan A =
5
3
23) sec A =
17
17
; csc A =
8
15
24)
3
2
25) 3
26) 1
27) 2
2 3
28)
3
29) b = 12 km
30) cos 12°
31) cot 14°
32) = 29°
16 6
33)
3
34)
35)
36)
37)
38)
2.4142
5 2
b = 99.04 feet
c = 715.35 m
IV
4
Answer Key
Testname: 1316-T1REVIEW-2015
39)
40)
= 50.4°, = 39.6°, c = 4.5
= 48.2°, b = 1.7, c = 2.5
5