AnswersCR CCSS Math 2 S2 M2960OXRight Triangle Similarity

Trigonometric Ratios Answers

18 verified answers
1
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Which statements are true for triangle LNM? Check all that apply.

A
The side opposite ∠L is NM.
B
The side opposite ∠N is ML.
C
The hypotenuse is NM.
D
The hypotenuse is LN.
E
The side adjacent ∠L is NM.
F
The side adjacent ∠N is ML.
2
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Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.

A
[Image: Triangle A B C has angle measures 50 degrees, 40 d...]
Option A
B
[Image: Triangle A B C has angle measures 45 degrees, 45 d...]
Option B
C
[Image: Triangle A B C has angle measures 68 degrees, 22 d...]
Option C
D
[Image: Triangle A B C has angle measures 60 degrees, 30 d...]
Option D
3

What are the angles that make the trigonometric statements true?

Answers:
sin() = cos(B):A
sin(B) = cos():A
4

What are the values of the three trigonometric ratios for angle L, in simplest form?

Answers:
sin(L) =:4/5
cos(L) =:3/5
tan(L) =:4/3
5

✔ 3/53/44/55/4

A
✔ 3/5
B
3/4
C
4/5
D
5/4
6

3/5✔ 4/33/45/4

A
3/5
B
✔ 4/3
C
3/4
D
5/4
7

Which statements are true regarding triangle LMN? Check all that apply.

A
NM = x
B
NM =
Option B
C
LM =
Option C
D
tan(45°) =
Option D
E
tan(45°) = 1
8

Use the diagram and side lengths of triangle RST to determine the angles used for the trigonometric ratios.

Answers:
sin() =:R
tan() =:T
9

RS✔ T

A
R
B
S
C
✔ T
10

What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.

A
The length of AC is needed because it is the side adjacent to ∠A.
B
The length of AC is needed because it is the side opposite ∠A.
C
The length of BC is needed because it is the side opposite ∠A.
D
The length of BC is needed because it is the side adjacent to ∠A.
11

5✔ 1050100

A
5
B
✔ 10
C
50
D
100
12

3/44/3✔ 4/55/4

A
3/4
B
4/3
C
✔ 4/5
D
5/4
13

4/55/4✔ 3/55/3

A
4/5
B
5/4
C
✔ 3/5
D
5/3
14

3/4✔ 4/34/53/5

A
3/4
B
✔ 4/3
C
4/5
D
3/5
15

What is the value of tan(60°)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

What are the angles that make the trigonometric statements true?

Answers:
sin() = cos(B):A
sin(B) = cos():A
17

✔ ABC

A
✔ A
B
B
C
C
18

Which triangle is similar to △ABC if sin(A) = [image 1] , cos(A) = [image 2] , and tan(A) = [image 3] ?

Question illustration
A
[Image: Triangle R S T is shown. Angle R S T is a right an...]
Option A
B
[Image: Triangle I J K is shown. Angle I J K is a right an...]
Option B
C
[Image: Triangle M L N is shown. Angle M N L is a right an...]
Option C
D
[Image: Triangle X Y Z is shown. Angle Y Z X is a right an...]
Option D

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