Quiz 1 - Trig Unit - Trivia & Questions

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| By Carolyn Kiser

Carolyn Kiser

Community Contributor

Quizzes Created: 4 | Total Attempts: 1,556

Questions: 12 | Attempts: 304 | Updated: Mar 21, 2023

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Questions and Answers

1.

the trig ratio a/c is represented by
- A.
  
  Sin⁡β
- B.
  
  Cos⁡β
- C.
  
  Tan⁡β
Correct Answer
B. Cos⁡β

Explanation
The trig ratio a/c represents the cosine of angle β.

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2.
- A.
  
  Sin 50=a/15
- B.
  
  Sin 50=15/a
- C.
  
  Cos 50=15/a
- D.
  
  Cos 50=a/15
- E.
  
  Tan 50= a/15
Correct Answer
A. Sin 50=a/15
3.

Evaluate x if sin x = 2/3(correct to the neearest degree)
- A.
  
  41.8°
- B.
  
  42°
- C.
  
  0.7°
- D.
  
  1°
- E.
  
  46°
Correct Answer
B. 42°

Explanation
Make sure that your calculator is in the coreect mode

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4.

Evaluate x if tan x = 2.45(answer correct to 1 decimal place)
- A.
  
  67.8°
- B.
  
  67.7°
- C.
  
  1.2°
- D.
  
  1.1°
- E.
  
  75.3°
Correct Answer
A. 67.8°

Explanation
Make sure that your calculator is in the correct mode!

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5.

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 of angle 25 being equal to x divided by 48. By rearranging the equation, we can find the value of x.

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6.

In triangle ABC angle B=90, AB=6 and BC=8. Find AC.
- A.
  
  10
- B.
  
  48
- C.
  
  28
- D.
  
  100
Correct Answer
A. 10

Explanation
In a right triangle, the side opposite the right angle (hypotenuse) is always the longest side. Using the Pythagorean theorem, we can find the length of the hypotenuse (AC) by taking the square root of the sum of the squares of the other two sides (AB and BC). In this case, AB squared is 36 and BC squared is 64. The sum of these is 100, and the square root of 100 is 10. Therefore, AC is 10.

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7.

In triangle ABC angle B=90, AB=15 and AC=17. Find BC.
- A.
  
  4
- B.
  
  64
- C.
  
  8
- D.
  
  23
Correct Answer
C. 8

Explanation
In a right triangle, the side opposite the right angle is called the hypotenuse. In this case, AC is the hypotenuse. According to the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, we can calculate BC. Using the formula, BC^2 = AC^2 - AB^2, we substitute the given values to find BC^2 = 17^2 - 15^2. Simplifying, BC^2 = 289 - 225, which gives BC^2 = 64. Taking the square root of both sides, we find BC = 8.

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0
1
8.

Find the missing value to the nearest degree.Tan x = 57

Correct Answer
89
9.

Evaluate x if cos x =0.156(round to the neearest degree)
- A.
  
  81°
- B.
  
  1°
- C.
  
  90°
Correct Answer
A. 81°

Explanation
The answer is 81° because when the cosine of an angle is 0.156, we can use the inverse cosine function to find the angle. The inverse cosine of 0.156 is approximately 81° when rounded to the nearest degree.

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10.

(give your answer to 3 decimal places)
- A.
  
  -0.999
- B.
  
  -1.000
- C.
  
  0.819
- D.
  
  0.82
- E.
  
  0.760
Correct Answer
C. 0.819

Explanation
make sure that your calculator is in the correct mode.

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11.

What is the length of the hypotenuse of a right triangle with legs of 6 centimeters and 10 centimeters?
- A.
  
  2 on the square root of 17 cm
- B.
  
  4 on the square root of 17 cm
- C.
  
  2 on the square root of 34 cm
- D.
  
  2 on the square root of 68 cm
Correct Answer
C. 2 on the square root of 34 cm

Explanation
In your calculator you go to y equals and type in 136/x. Then, press 2nd, graph. 4 is the only perfect square that can divide into 136. so you would have square root of 4 times square root of 34. 34 has no perfect square factors so it is stuck underneath the square root. The square root of 4 is 2. Thus 2 on the square root of 34

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0
1
12.

Simplify the following radical.
- A.
- B.
- C.
- D.
  
  N/A
Correct Answer
B.