Inverse Functions — Unit test Answers

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1
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Find cos–10.9455 to the nearest degree

A
26°
B
71°
C
19°
D
41°
2
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Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.The cosine of the complimentary angle to 58°

A
0.74
B
0.85
C
0.83
D
0.94
3

Which of the following statements is true?

A
sin 18° = cos 72°
B
sin 55° = cos 55°
C
sin 72° = cos 18°
D
Both a and c.
4

A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is ? What is the altitude of the plane? Round your answer to the nearest tenth of a mile.

Question illustration
A
0.1 mile
B
0.5 mile
C
35.1 miles
D
8.6 miles
5

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find sin A. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
6

A surveyor is standing 550 feet from the base of a redwood tree in the California Redwood Forest. The tree is 362 feet tall. Sketch a drawing that models the situation and then find the angle of elevation of the top of the tree from the spot where the surveyor is standing.

A
48.8o
B
33.4o
C
56.6o
D
41.0o
7

a. c. b. d. No triangle satisfies the given conditions. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
8

Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R S is 5 StartRoot 3 EndRoot, the length of S Q is 10, and the length of R Q is 5.

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option A
B
One-half
Option B
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartFraction 2 Over 1 EndFraction
Option D
9

When solving for x, the sine of 33º is used. What other angle and trigonometric function could be used to solve for x?

Question illustration
A
cos 57º
B
tan 33º
C
tan 57º
D
cos 33º
10

Solve the right triangle shown in the figure. Remember, exact lengths can be approximated on a calculator. For example, . a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
11

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find cos B. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
12

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.

Question illustration
A
45°
B
90°
C
0°
D
1°
13

Triangle A B C is shown. Angle A B C is a right angle. Angle B C A is 22 degrees and angle C A B is 68 degrees.

Question illustration
A
cos(B)
B
sin(B)
C
cos(C)
D
tan(C)
14

Triangles A B C and X Y Z are shown. Angles A B C and X Y Z are right angles. Angles B A C and Y X Z are congruent. The length of A B is 5, the length of A C is 13, and the length of B C is 12.

Question illustration
A
Five-thirteenths
Option A
B
Five-twelfths
Option B
C
Twelve-thirteenths
Option C
D
Twelve-fifths
Option D
15

When solving for x, the sine of 44º is used. What other angle and trigonometric function could be used to solve for x?

Question illustration
A
tan 46º
B
cos 46º
C
tan 44º
D
cos 44º

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