Determine points on a unit circle using special triangles

Determine points on a unit circle using special triangles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the unit circle, focusing on finding points using 30-60-90 triangles and the Pythagorean theorem. It covers how to determine coordinates for angles like 30 and 60 degrees and explores reflections on the unit circle. The tutorial emphasizes understanding the geometric relationships and calculations involved in these processes.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the four points dealt with in the unit circle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do we determine the coordinates of an angle at 30 degrees on the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the right triangle in finding points on the unit circle.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angles in a 30-60-90 triangle?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the Pythagorean theorem to find the coordinates of a point on the unit circle?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates of the point on the unit circle at 30 degrees?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to find the coordinates of points at 60 degrees on the unit circle.

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