Finding Trigonometric Coordinates on the Unit Circle Using Special Right Triangles

Finding Trigonometric Coordinates on the Unit Circle Using Special Right Triangles

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

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This video tutorial explains how to find trigonometric coordinates for 30 and 60-degree angles on the unit circle using properties of special right triangles. It covers the basics of the unit circle, properties of equilateral triangles, and the application of the Pythagorean theorem to find missing side lengths. The tutorial demonstrates how to determine the coordinates of points on the unit circle and calculate the sine and cosine values for 30 and 60-degree angles, emphasizing the importance of not reversing these values.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of bisecting an equilateral triangle to form a 30, 60, 90 triangle.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the Pythagorean theorem in finding the side lengths of a 30, 60, 90 triangle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the coordinates of the point on the unit circle relate to the radius and the angles?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the sine and cosine values for the 60 degree angle using the unit circle.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the trigonometric coordinates for the 30 degree angle on the unit circle?

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