For what values of x is

x can be any positive real number

x can be any nonnegative real number

Plane And Spherical Trigonometry Quiz

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| By Lopezbrianroy3

Lopezbrianroy3

Community Contributor

Quizzes Created: 8 | Total Attempts: 967

Questions: 20 | Attempts: 292 | Updated: Aug 26, 2023

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Plane And Spherical Trigonometry Quiz - Quiz

Click on the option that corresponds to the CORRECT answer.

Questions and Answers

1.

What is the value of Arcsin 0?
- A.
  
  0
- B.
- C.
- D.
Correct Answer
A. 0

Explanation
The value of Arcsin 0 is 0 because the arcsine function returns the angle whose sine is equal to the given value. Since the sine of 0 is also 0, the arcsine of 0 is 0.

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2.

What is the value of Arccos(-1)
- A.
  
  0
- B.
- C.
- D.
Correct Answer
B.

Explanation
The value of Arccos(-1) is 180 degrees or pi radians. This is because Arccos is the inverse function of cosine, and cosine of 180 degrees or pi radians is equal to -1.

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3.

What is the value of
- A.
- B.
- C.
- D.
Correct Answer
C.
4.

What is the value of ?
- A.
- B.
- C.
- D.
Correct Answer
D.
5.

What is the value of
- A.
- B.
- C.
- D.
Correct Answer
C.
6.

What is the value of
- A.
- B.
- C.
- D.
Correct Answer
D.
7.

What is the value of Arccos0
- A.
  
  0
- B.
- C.
- D.
Correct Answer
C.

Explanation
The value of Arccos0 is 90 degrees or π/2 radians. This is because the cosine function is equal to 0 at 90 degrees or π/2 radians.

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8.

What is the value of ?
- A.
  
  0
- B.
- C.
- D.
Correct Answer
D.
9.

What is
- A.
- B.
- C.
- D.
Correct Answer
B.
10.

What is the value of Arccot(0)
- A.
- B.
- C.
- D.
Correct Answer
A.

Explanation
The value of Arccot(0) is equal to π/2. The arccotangent function is the inverse of the cotangent function. Cotangent is the ratio of the adjacent side to the opposite side in a right triangle. When the opposite side is 0, the cotangent is undefined. However, the arccotangent function returns the angle whose cotangent is equal to the given value. In this case, since the cotangent is undefined, the arccotangent is π/2.

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11.

What is the value of
- A.
- B.
- C.
- D.
Correct Answer
D.
12.

12 What is the value of
- A.
- B.
- C.
- D.
Correct Answer
C.
13.

What is the restriction for the range of
- A.
  
  0
- B.
- C.
- D.
Correct Answer
A. 0
14.

What is x in ?
- A.
  
  5
- B.
  
  25
- C.
  
  125
- D.
  
  625
Correct Answer
C. 125

Explanation
The pattern in the given sequence is that each number is obtained by multiplying the previous number by 5. Starting with 5, we have 5 * 5 = 25, 25 * 5 = 125, and 125 * 5 = 625. Therefore, the missing number in the sequence is 125.

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15.

When expressed as a single logarithm , is equal to
- A.
- B.
- C.
- D.
Correct Answer
B.
16.

Expand
- A.
- B.
- C.
- D.
Correct Answer
C.
17.

What is the exponential form of
- A.
- B.
- C.
- D.
Correct Answer
B.
18.

For what values of x is
- A.
  
  X can be any real number
- B.
  
  X can be any positive real number
- C.
  
  X can be any nonnegative real number
- D.
  
  X can be any positive integer
Correct Answer
B. X can be any positive real number

Explanation
The given answer states that x can be any positive real number. This means that x can take on any value that is both positive and a real number. It does not have to be an integer or a specific value, it can be any positive real number such as 1, 2.5, or 10. This answer encompasses all possible values of x that satisfy the given conditions.

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19.

What is
- A.
- B.
- C.
- D.
Correct Answer
B.
20.

What is
- A.
- B.
- C.
- D.
Correct Answer
D.