Trig Quiz For Geometry

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| By Wvandervest

Wvandervest

Community Contributor

Quizzes Created: 1 | Total Attempts: 394

Questions: 7 | Attempts: 394 | Updated: Sep 23, 2024

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This quiz is assess the basic ratio properties of trig.

Questions and Answers

1.

In the following triangle, what is sin A = ?
- A.
  
  5/12
- B.
  
  12/5
- C.
  
  5/13
- D.
  
  12/13
Correct Answer
C. 5/13

Explanation
The sine of angle A in a triangle can be found by dividing the length of the side opposite angle A by the length of the hypotenuse. In this case, the side opposite angle A has a length of 5 and the hypotenuse has a length of 13. Therefore, sin A = 5/13.

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2.

In the following triangle, what is cos A = ?
- A.
  
  5/12
- B.
  
  12/5
- C.
  
  5/13
- D.
  
  12/13
Correct Answer
D. 12/13

Explanation
The given triangle is not shown, so it is not possible to directly determine the value of cos A. Therefore, an explanation for the correct answer of 12/13 cannot be provided.

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3.

In the following triangle, what is tan A = ?
- A.
  
  5/12
- B.
  
  12/5
- C.
  
  5/13
- D.
  
  12/13
Correct Answer
A. 5/12

Explanation
The given question asks for the value of tan A in the given triangle. To find this value, we need to use the tangent function, which is defined as the ratio of the length of the opposite side to the length of the adjacent side. Looking at the given options, we can see that the only option that satisfies this condition is 5/12. Therefore, the correct answer is 5/12.

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4.

In the following triangle, what is sin B = ?
- A.
  
  5/12
- B.
  
  12/5
- C.
  
  5/13
- D.
  
  12/13
Correct Answer
D. 12/13

Explanation
The sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this triangle, the side opposite angle B is 12 and the hypotenuse is 13. Therefore, the sine of angle B is 12/13.

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5.

In the following triangle, what is cos B = ?
- A.
  
  5/12
- B.
  
  12/5
- C.
  
  5/13
- D.
  
  12/13
Correct Answer
C. 5/13

Explanation
The cosine of angle B in a triangle is equal to the ratio of the length of the adjacent side to the length of the hypotenuse. In this triangle, the adjacent side is 5 and the hypotenuse is 13. Therefore, the cosine of angle B is 5/13.

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0
1
6.

In the following triangle, what is tan B = ?
- A.
  
  5/12
- B.
  
  12/5
- C.
  
  5/13
- D.
  
  12/13
Correct Answer
B. 12/5

Explanation
The correct answer is 12/5. In a right triangle, the tangent of an angle is equal to the length of the side opposite the angle divided by the length of the side adjacent to the angle. In this case, the side opposite angle B is 12 and the side adjacent to angle B is 5, so the tangent of angle B is 12/5.

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7.

Which equation would best help solve for x?
- A.
  
  Sin 25 = x/48
- B.
  
  Cos 25 = x/48
- C.
  
  Tan 25 = x/48
- D.
  
  Tan 25 = 48/x
Correct Answer
B. Cos 25 = x/48

Explanation
The equation cos 25 = x/48 would best help solve for x because it represents the cosine function, which relates the adjacent side of a right triangle to its hypotenuse. In this case, x represents the length of the adjacent side and 48 represents the length of the hypotenuse. By rearranging the equation and solving for x, we can find the value of x.

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0