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Unit Circle Concepts and Definitions

Unit Circle Concepts and Definitions

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Jackson Turner

FREE Resource

The video tutorial introduces the unit circle, a circle with a radius of one unit centered at the origin of a Cartesian plane. It explains the concept of quadrants and how right angle triangles can be formed within the unit circle. The tutorial redefines sine and cosine as the y and x coordinates of a point on the unit circle, respectively. It further explores how these coordinates change with different angles, providing a new perspective on trigonometric functions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the unit circle?

0.5 units

1 unit

3 units

2 units

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant are both x and y values positive?

Fourth quadrant

First quadrant

Second quadrant

Third quadrant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the hypotenuse of the right-angle triangle formed in the unit circle?

x

theta

y

1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is sine theta defined in the context of the unit circle?

Hypotenuse

Adjacent side

y-coordinate

x-coordinate

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the point on the unit circle when theta is 0 degrees?

(0, 0)

(1, 0)

(1, 1)

(0, 1)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the point on the unit circle when theta is 90 degrees?

(0, 0)

(1, 1)

(1, 0)

(0, 1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new definition of sine in terms of the unit circle?

Angle

Radius

y-coordinate

x-coordinate

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