10th Grade Trigonometry Part I (Nikoleta Simeonova)

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3.

,

. For

and

is true that:

Cannot be defined.

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Explanation

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4. The value of the following expression

is

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Explanation

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5. If

, what is the value of the expression

?

Cannot be defined.

-7

7

0

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

Explanation

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

6. If

, what is the value of the expression

?

Cannot be defined.

-2

2

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Explanation

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7. The following identity is true or false:

?

True

False

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Explanation

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8. The following identity is true or false:

True

False

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.

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.

9. Define the value of the following expression

.

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.

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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12. The value of the following expression

is:

2

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Explanation

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13. The value of the following expression

is:

-1

1

0

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Explanation

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14. The value of the following expression

is:

>0

=0

Cannot be defined.

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.

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.

15. The value of the following expression

is:

>0

=0

Cannot be defined.

not-available-via-ai

Explanation

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16.

,

. For

and

is true that:

Cannot be defined.

not-available-via-ai

Explanation

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17. For any angle

, the value of the expression

is: (you can choose more than one option)

1

-1

Sinx+cosx

-sinx-cosx

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.

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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18.

(you can choose more than one option)

0.5

-0.5

0

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.

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.