How to find the reference angle | 16 Examples

How to find the reference angle | 16 Examples

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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This video tutorial explains how to determine reference angles, emphasizing their importance in understanding the unit circle and evaluating trigonometric expressions. The instructor provides a detailed overview of reference angles, including their definition as the positive acute angle between the terminal side and the X-axis. The video includes examples of calculating reference angles in both degrees and radians, highlighting the importance of understanding rather than memorizing rules. The tutorial concludes with a discussion on the application of reference angles in evaluating trigonometric functions.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the definition of a reference angle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the reference angle for an angle in the first quadrant?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to find the reference angle for an angle in the second quadrant.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the reference angle is always positive and acute.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the reference angle for 210 degrees?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the reference angle for 300 degrees?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the reference angle for 330 degrees?

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