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.
2
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✔ 3/53/44/55/4

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

3/5✔ 4/33/45/4

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

3/4✔ 4/34/53/5

Answer not available
11

5✔ 10X 50100

Answer not available
12

What is the value of tan(60°)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

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
15

Explain why the value of the sine ratio for an acute angle of a right triangle must always be a positive value less than 1.

Answer:

The sine of an acute angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. In any right triangle, the hypotenuse is the side opposite the 90-degree angle, making it the longest side. Because the side opposite an acute angle must be shorter than the hypotenuse, the numerator of the sine ratio is always smaller than the denominator. Therefore, the ratio must be a positive number less than 1.

16

RS✔ T

Answer not available
17

3/44/3✔ 4/55/4

Answer not available
18

✔ ABC

A
✔ A
B
B
C
C
19

What did you include in your response? Check all that apply.

A
The hypotenuse is the longest side.
B
The ratio’s denominator will be larger than the numerator.
C
The larger denominator implies the ratio will be less than 1.
20

4/55/4✔ 3/55/3

Answer not available

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