How to determine points on a unit circle with special triangles

How to determine points on a unit circle with special triangles

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial covers the basics of the unit circle, starting with known points and the radius. It then explores additional points by splitting quadrants and calculating angles, particularly focusing on π/4 or 45 degrees. The tutorial uses the 45-45-90 triangle to find coordinates and discusses reflections and symmetry within the unit circle. Key concepts include the Pythagorean theorem and the importance of memorizing the first quadrant.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you rationalize the denominator when finding the coordinates on the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the angles in the first quadrant and their reflections in the other quadrants.

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