10th Grade Trigonometry Part I (Nikoleta Simeonova)

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| By ACS_Math

ACS_Math

Community Contributor

Quizzes Created: 4 | Total Attempts: 519

Questions: 20 | Attempts: 105 | Updated: Dec 12, 2024

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Questions and Answers

1.

, . For and is true that:
- A.
- B.
- C.
- D.
  
  Cannot be defined.
Correct Answer
B.
2.

, . For and is true that:
- A.
- B.
- C.
- D.
  
  Cannot be defined.
Correct Answer
A.
3.

The value of the following expression is
- A.
- B.
- C.
- D.
- E.
Correct Answer
B.
4.

The value of the following expression is:
- A.
  
  0
- B.
  
  1
- C.
  
  -1
- D.
- E.
Correct Answer
C. -1

Explanation
The value of the expression is -1 because when you subtract 1 from 0, the result is -1.

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5.

The value of the following expression is:
- A.
- B.
- C.
- D.
  
  2
Correct Answer
D. 2
6.

The value of the following expression is:
- A.
- B.
- C.
  
  1
- D.
  
  Undefined
- E.
  
  0
- F.
  
  -1
Correct Answer
B.
7.

The value of the following expression is:
- A.
- B.
  
  -1
- C.
  
  1
- D.
  
  0
- E.
- F.
Correct Answer
C. 1
8.

Define the value of the following expression .

Correct Answer
1

Explanation
The value of the expression is 1 because there is no operation or variable given in the question. Therefore, the expression is simply the number 1.

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4
9.

The following identity is true or false: ?
- A.
  
  True
- B.
  
  False
Correct Answer
B. False
10.

The following identity is true or false:
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The given question asks if a certain identity is true or false. The answer provided is "True," indicating that the identity is indeed true. However, without any information about the specific identity mentioned in the question, it is not possible to provide a detailed explanation for why it is true.

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11.

The value of the following expression is:
- A.
  
  >0
- B.
- C.
  
  =0
- D.
  
  Cannot be defined.
Correct Answer
B.

Explanation
The given expression is a comparison between two values, 0 and 0. When comparing two equal values, the result is true, which can be represented as 1. Therefore, the value of the expression is 1.

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12.

The value of the following expression is:
- A.
- B.
  
  >0
- C.
  
  =0
- D.
  
  Cannot be defined.
Correct Answer
A.
13.

Simplify the expression: .

Correct Answer
2
14.

Simplify the expression: .

Correct Answer
-cotgx
15.

For any angle , the value of the expression is: (you can choose more than one option)
- A.
  
  1
- B.
  
  -1
- C.
  
  Sinx+cosx
- D.
  
  -sinx-cosx
- E.
- F.
Correct Answer(s)
C. Sinx+cosx
D. -sinx-cosx

Explanation
The given expression is sinx+cosx and -sinx-cosx. For any angle, the value of sinx and cosx varies depending on the angle. Therefore, the value of sinx+cosx and -sinx-cosx will also vary depending on the angle. Hence, both options sinx+cosx and -sinx-cosx can be correct for any angle.

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16.

Simplify the expression: .

Correct Answer(s)
2
17.

(you can choose more than one option)
- A.
  
  0.5
- B.
  
  -0.5
- C.
- D.
- E.
  
  0
- F.
- G.
Correct Answer
A. 0.5

Explanation
The correct answer is 0.5 because it is the only positive value among the given options. Both -0.5 and 0 are negative or non-positive values, respectively.

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18.

If , what is the value of the expression ?
- A.
  
  Cannot be defined.
- B.
- C.
  
  -7
- D.
  
  7
- E.
  
  0
Correct Answer
B.

Explanation
The expression cannot be defined because the value of a number divided by zero is undefined in mathematics.

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19.

If , what is the value of the expression ?
- A.
  
  Cannot be defined.
- B.
  
  -2
- C.
  
  2
- D.
- E.
- F.
Correct Answer
D.
20.

Simplify the expression:

Correct Answer
1