Download Math 1316 Test #1 Review Summer I 2016

Math 1316 Test #1 Review
Summer I 2016
Name___________________________________
Provide an appropriate response.
1) Find the supplement of an angle whose measure is 148°.
A) 238°
B) 328°
C) -58°
2) Find the complement of an angle whose measure is 71°.
A) 71°
B) 19°
C) 109°
Find the angle of least positive measure coterminal with the given angle.
3) -116°
A) 424°
B) 244°
C) °
4) 1280°
A) 200°
B) 20°
C) 110°
D) 32°
D) 161°
D) 116°
D) 560°
1)
2)
3)
4)
Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure
of two other angles, one positive and one negative, coterminal with the given angle.
5) 65°
5)
425° and -295°
A) 425° and -295°
B)
C)
D)
245° and -115°
1
245° and -115°
Sketch an angle in standard position such that
side of .
6) (-5, -3)
has the least positive measure and the given point is on the terminal
6)
A)
B)
C)
D)
Evaluate the expression.
7) sec(-180°)
A) Undefined
B) -1
C)
B) 1
2
C)
2
D) 1
8) cot 450°
A) Undefined
7)
8)
D) 0
If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or
negative.
r
9) II,
9)
x
A) Negative
B) Positive
2
10) III,
x
y
10)
A) Negative
B) Positive
Evaluate the expression.
11) cot2 90° - sec 180°
A) 2
B) 0
C) -1
11)
D) 1
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.
10
12) tan , given that cot = 12)
11
A)
21
11
B)
13) csc , given that sin
=
11
6
A)
11
10
C) -
11
10
10
11
D) -
11
6
13)
B)
6 11
11
C)
11 11
6
11
11
D)
Determine the signs of the given trigonometric functions of an angle in standard position with the given measure.
14) sec (-59°) and sin (-59°)
14)
A) positive and positive
B) negative and positive
C) negative and negative
D) positive and negative
Use the fundamental identities to find the value of the trigonometric function.
2
15) Find sin , given that cos = and is in quadrant IV.
3
A)
3 7
7
16) Find tan , given that sin
A) -
7
9
B) -
=
5
3
3
and
4
B)
C) -
3
2
15)
D)
5
4
is in quadrant II.
5
4
C) -
3
16)
3 7
7
D) -
3
2
Evaluate the function requested. Write your answer as a fraction in lowest terms.
17)
17)
20
12
16
Find sin A.
A) sin A =
5
4
B) sin A =
4
3
C) sin A =
3
5
D) sin A =
4
5
18)
18)
65
25
60
Find tan A.
A) tan A =
13
5
B) tan A =
5
13
C) tan A =
5
12
D) tan A =
12
5
19)
19)
41
9
40
Find cos B.
A) cos B =
9
41
B) cos B =
41
40
C) cos B =
9
40
D) cos B =
40
41
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using
the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize
the denominator if applicable.
20) Find tan B when a = 48 and c = 50.
20)
7
24
24
7
A)
B)
C)
D)
25
7
25
24
4
Without using a calculator, give the exact trigonometric function value with rational denominator.
21) sin 30°
3
2
1
A)
B)
C) 3
D)
2
2
2
22) tan 45°
A)
22)
2
B)
1
2
C)
2 3
3
Find a solution for the equation. Assume that all angles are acute angles.
23) sec( + 12°) = csc(2 + 15°)
A) 21°
B) 15°
C) 23.5°
Find the reference angle for the given angle.
24) 129°
A) 51°
B) 61°
C) 39°
Find the exact value of the expression.
25) cos 210°
2
A) B)
2
3
C) 2
26) sec (-1215°)
3
A) 3
Find all values of , if
3
27) sin =
2
=-
D) 1
D) 19°
D) 49°
23)
24)
25)
3
2
D)
2
2
26)
B) -
2
C) -1
D)
2
2
is in the interval [0, 360°) and has the given function value.
A) 60° and 120°
28) sin
21)
27)
B) 60° and 300°
C) 150° and 210°
D) 210° and 330°
1
2
A) 150° and 210°
28)
B) 60° and 300°
C) 60° and 120°
D) 210° and 330°
Use a calculator to find the function value. Give your answer rounded to seven decimal places, if necessary.
29) sin 304°53
A) -0.8103183
B) -0.8203183
C) -0.8303183
D) -0.8213183
29)
Find a value of in [0°, 90°] that satisfies the statement. Leave answer in decimal degrees rounded to seven decimal
places, if necessary.
30) sin = 0.81107642
30)
A) 54.2012343°
B) 125.798766°
C) 35.7987657°
D) 234.201234°
5
31) tan = 1.5047547
A) 123.606428°
B) 56.3935717°
C) 236.393572°
D) 33.6064283°
Solve the right triangle. If two sides are given, give angles in degrees and minutes.
32)
A = 11° 32 , c = 213 ft
Round side lengths to two decimal places.
A) B = 78° 28 ; a = 42.02 ft ; b = 207.81 ft
C) B = 78° 27 ; a = 45.79 ft; b = 209.90 ft
31)
32)
B) B = 78° 28 ; a = 42.59 ft; b = 208.70 ft
D) B = 79° 27 ; a = 42.59 ft; b = 204.70 ft
33)
33)
a = 10.9 cm, b = 21.7 cm
Round the missing side length to one decimal place.
A) A = 26°40'; B = 63°20'; c = 24.3 cm
C) A = 30°9'; B = 59°51'; c = 24.3 cm
B) A = 30°9'; B = 59°51'; c = 22.6 cm
D) A = 26°40'; B = 63°20'; c = 25.8 cm
Solve the problem.
34) On a sunny day, a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is
35 meters long and the shadow is 28 meters, how tall is the flag pole?
A) 63 m
B) 21 m
C) 45 m
D) 49 m
6
34)
Answer Key
Testname: MATH 1316 TEST #1 REVIEW
1) D
2) B
3) B
4) A
5) B
6) C
7) B
8) D
9) A
10) B
11) D
12) C
13) B
14) D
15) B
16) C
17) D
18) C
19) D
20) D
21) D
22) D
23) A
24) A
25) C
26) B
27) A
28) D
29) B
30) A
31) B
32) B
33) A
34) B
7