Find the point on the unit circle given an angle

Find the point on the unit circle given an angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the position of the angle 11π/6 on the unit circle. It begins by discussing the concept of fractions and angles, then breaks down 11π/6 into parts to find its position. The tutorial also covers memorization techniques for the unit circle, focusing on key angles like 30, 45, and 60 degrees. Finally, it explains how to find coordinates on the unit circle and understand reflections, concluding with the coordinates for 11π/6 as (sqrt(3)/2, -1/2).

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the angle 11π / 6 in relation to the unit circle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you express 11π / 6 in terms of π / 6?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the three basic angles you need to remember when working with the unit circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how the coordinates of points on the unit circle are derived from special right triangles.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the point corresponding to the angle 11π / 6 on the unit circle?

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