What is the reference angle for an angle of $$ 210^\text{°} $$ ?

The reference angle for $$ 210^\text{°} $$ is $$ 210^\text{°} - 180^\text{°} = 30^\text{°} $$ .

How do you find the coterminal angle of $$ -450^\text{°} $$ ?

To find a coterminal angle, add or subtract $$ 360^\text{°} $$ until the angle is within the range of $$ 0^\text{°} $$ to $$ 360^\text{°} $$ . For $$ -450^\text{°} $$ , add $$ 360^\text{°} $$ twice to get $$ -450^\text{°} + 720^\text{°} = 270^\text{°} $$ .

What is the angle measure of $$ -\frac{3\text{π}}{4} $$ in degrees?

The angle measure of $$ -\frac{3\text{π}}{4} $$ in degrees is $$ -135^\text{°} $$ .

How do you determine the quadrant of an angle in standard position?

To determine the quadrant of an angle in standard position, check the angle's measure: 1st quadrant (0 to 90°), 2nd quadrant (90° to 180°), 3rd quadrant (180° to 270°), 4th quadrant (270° to 360°).

What is the formula to find the reference angle for angles in the 3rd quadrant?

For angles in the 3rd quadrant, the reference angle is found using the formula: $$ \text{Reference Angle} = \text{Angle} - 180^\text{°} $$ .

What is the degree measure of $$ \frac{6\text{π}}{5} $$ ?

The degree measure of $$ \frac{6\text{π}}{5} $$ is $$ 216^\text{°} $$ .

How do you find the angle measure of $$ -480^\text{°} $$ in standard position?

To find the angle measure of $$ -480^\text{°} $$ in standard position, add $$ 360^\text{°} $$ twice: $$ -480^\text{°} + 720^\text{°} = 240^\text{°} $$ .

What is the relationship between degrees and radians?

Degrees and radians are two units for measuring angles; $$ 180^\text{°} $$ is equivalent to $$ \text{π} $$ radians.

What is the angle measure of $$ 135^\text{°} $$ in radians?

The angle measure of $$ 135^\text{°} $$ in radians is $$ \frac{3\text{π}}{4} $$ .

What is a negative angle?

A negative angle is an angle measured in the clockwise direction from the positive x-axis.

How do you graph an angle in standard position?

To graph an angle in standard position, start at the positive x-axis, rotate counterclockwise for positive angles and clockwise for negative angles, and mark the terminal side.

Graphing Angles in Standard Position Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an angle in standard position?

Back

An angle in standard position is an angle whose vertex is at the origin of a coordinate system and its initial side lies along the positive x-axis.

Tags

CCSS.6.G.A.3

2.

FLASHCARD QUESTION

Front

How do you convert radians to degrees?

Back

Tags

CCSS.HSF.TF.A.1

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the range of angles in standard position?

Back

Tags

CCSS.HSG.CO.A.4

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.1

7.

FLASHCARD QUESTION

Front

What is the significance of the terminal side of an angle?

Back

The terminal side of an angle is the position of the angle after it has been rotated from the initial side.

Tags

CCSS.HSG.CO.A.4

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