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Tangent and Unit Circle

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Tangent and Unit Circle
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19 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

a line that intersects the circle at exactly one place.

diameter

tangent

secant

chord

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

the point at which the tangent line intersects the circle

point of tangency

tangent

secant

diameter

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is Line LQ?

secant

tangent

chord

radius

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following points is in the unit circle?

(1 / 2 , 1 / 2)

(-√2 / 2 , -√2 / 2)

(√2 / 3 , -√2 / 3)

(3 / 2 , 2 / 3)

Tags

CCSS.HSF.TF.A.2

5.

OPEN ENDED QUESTION

1 min • 1 pt

Media Image

Using the unit circle, explain how you can find the value of tangent of an angle both visually and algebraically. Use pi/4 as an example.

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Based on the unit circle, what is the value of tan?

y/r

x/r

r/y

y/x

Answer explanation

The cos is always the x coordinate divided by the radius. With the unit circle that radius is 1

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do you find tangent based on the unit circle?

1/y

x/y

y/x

1/x

Tags

CCSS.HSF.TF.A.2

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