AnswersTN-Algebra II B SC 26-27 For CreditEvaluating the Six Trigonometric Functions

Evaluating the Six Trigonometric Functions — Unit test Answers

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What is the length of x in the diagram below?

Question illustration
A
StartFraction 5 Over StartRoot 3 EndRoot
Option A
B
StartFraction 10 Over StartRoot 3 EndRoot EndFraction
Option B
C
5 StartRoot 3 EndRoot
Option C
D
10
2
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The point P(x, y) is on the terminal ray of angle . If is between radians and radians and csc = , what are the coordinates of P(x, y)?

Question illustration
A
P(, –2)
Option A
B
P (, –2)
Option B
C
P(–2, )
Option C
D
P(–2, )
Option D
3

If , which of the following represents approximate values of and , for ?

Question illustration
A
sine theta almost-equals 0.9511; tangent theta almost equals 0.3249
Option A
B
sine theta almost-equals 0.9511; tangent theta almost equals 3.0780
Option B
C
sine theta almost-equals 3.2362; tangent theta almost-equals 0.0955
Option C
D
sine theta almost-equals 3.2362; tangent theta almost-equals 10.4731
Option D
4

The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?

A
ft
Option A
B
ft
Option B
C
ft
Option C
D
ft
Option D
5

Haruto simplified the value below.Which statement explains whether Haruto is correct?

Question illustration
A
Haruto is correct because the angle is coterminal with and the reference angle is .
Option A
B
Haruto is correct because the angle is coterminal with , which is also the reference angle.
Option B
C
Haruto is not correct because the angle is coterminal with , and .
Option C
D
Haruto is not correct because the angle is coterminal with , and .
Option D
6

The angle measures associated with which set of ordered pairs share the same reference angle?

A
(Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction , negative one-half), (negative one-half, Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Option A
B
(one-half, Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction), (Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half)
Option B
C
(Negative one-half, negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction), (One-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Option C
D
(StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half), (one-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Option D
7

Which of the following is true of the location of an angle, , whose tangent value is ?

Question illustration
A
has a 30-degree reference angle and is located in Quadrant II or IV
Option A
B
has a 30-degree reference angle and is located in Quadrant II or III
Option B
C
has a 60-degree reference angle and is located in Quadrant II or IV
Option C
D
has a 60-degree reference angle and is located in Quadrant II or III
Option D
8

What is the approximate length of arc s on the circle below? Use 3.14 for . Round your answer to the nearest tenth.

Question illustration
A
14.1 in.
B
22.5 in.
C
42.3 in.
D
56.5 in.
9

What is the simplest form of the expression below?

Question illustration
A
sec
Option A
B
cot
Option B
C
csc
Option C
D
tan
Option D
10

Which of the following could be the measure of the angle below?

Question illustration
A
–180°
B
–120°
C
140°
D
510°
11

Which of the following represents the measures of all angles coterminal with a 418° angle?

A
360 + 58n, for any whole number n
B
58 + 360n, for any integer n
C
58 + 360n, for any whole number n
D
360 + 58n, for any integer n
12

Which of the following are in the correct order from least to greatest?

A
, , 80°, , 38°
Option A
B
38°, 80°, , ,
Option B
C
38°, , 80°, ,
Option C
D
, 38°, 80°, ,
Option D
13

Angle D has a measure between 0° and 360° and is coterminal with a –920° angle. What is the measure of angle D?

A
155°
B
160°
C
165°
D
170°
14

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.

A
0.4 radian
B
1.0 radian
C
2.7 radians
D
5.0 radians
15

An angle measuring (468n)° is in standard position. For which value of n will the terminal side fall on the x-axis?

A
n = 4
B
n = 5
C
n = 6
D
n = 7
16

In a right triangle, angle A measures 20°. The side opposite angle A is 10 centimeters long. Approximately how long is the hypotenuse of the triangle?

A
3.4 centimeters
B
10.6 centimeters
C
27.5 centimeters
D
29.2 centimeters
17

If angle B measures 25°, what is the approximate perimeter of the triangle below?

Question illustration
A
10.3 units
B
11.8 units
C
22.1 units
D
25.2 units
18

If , which equation represents ?

Question illustration
A
cotangent theta = StartFraction StartRoot 15 EndRoot Over 8 EndFraction
Option A
B
cotangent theta = StartFraction StartRoot 15 EndRoot Over 7 EndFraction
Option B
C
cotangent theta = StartFraction 7 StartRoot 15 EndRoot Over 15 EndFraction
Option C
D
cotangent theta = StartFraction 8 StartRoot 15 EndRoot Over 15 EndFraction
Option D
19

What are the values of m and in the diagram below?

Question illustration
A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
20

What is the exact value of ?

Question illustration
A
–1
B
Negative StartRoot 2 EndRoot
Option B
C
1
D
StartRoot 2 EndRoot
Option D

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