Trigonometric Ratios Answers

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Which statements are true for triangle LNM? Check all that apply. The side opposite ∠L is NM.The side opposite ∠N is ML.The hypotenuse is NM.The hypotenuse is LN.The side adjacent ∠L is NM.The side adjacent ∠N is ML.

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.
3

4/55/43/55/3

A
4/5
B
5/4
C
3/5
D
5/3
114281

X 3/53/44/55/4

A
3/5
B
3/4
C
4/5
D
5/4
114290

3/44/34/53/5

A
3/4
B
4/3
C
4/5
D
3/5
114291

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...]
B
[Image: Triangle A B C has angle measures 45 degrees, 45 d...]
C
[Image: Triangle A B C has angle measures 68 degrees, 22 d...]
D
[Image: Triangle A B C has angle measures 60 degrees, 30 d...]
114292

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

A
NM = x
B
NM =
C
LM =
D
tan(45°) =
E
tan(45°) = 1
114293

RST

A
R
B
S
C
T
114294

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.
114295

What is the value of tan(60°)?

A
Option
B
Option
C
Option
D
Option
114297

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...]
B
[Image: Triangle I J K is shown. Angle I J K is a right an...]
C
[Image: Triangle M L N is shown. Angle M N L is a right an...]
D
[Image: Triangle X Y Z is shown. Angle Y Z X is a right an...]

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