Trigonometric Ratios Answers

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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.
3

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5

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
6

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9

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.
10

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11

What is the value of tan(60°)?

A
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Option A
B
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Option B
C
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Option C
D
Option
Option D
13

Which triangle is similar to △ABC if sin(A) = , cos(A) = , and tan(A) = ?

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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