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Knowing the Unit Circle

Authored by Sarah Merica

Mathematics

9th - 12th Grade

CCSS covered

Used 130+ times

Knowing the Unit Circle
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exact coordinates of 3π4\frac{3\pi}{4} on the unit circle?

(−22, 22)\left(-\frac{\sqrt[]{2}}{2},\ \frac{\sqrt[]{2}}{2}\right)  

(−22, −22)\left(-\frac{\sqrt[]{2}}{2},\ -\frac{\sqrt[]{2}}{2}\right)  

(−32, −22)\left(-\frac{\sqrt[]{3}}{2},\ -\frac{\sqrt[]{2}}{2}\right)  

(22, −22)\left(\frac{\sqrt[]{2}}{2},\ -\frac{\sqrt[]{2}}{2}\right)  

Tags

CCSS.HSF.TF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What quadrant is −2π3\frac{-2\pi}{3}  in?

I

II

III

IV

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of a unit circle?

1

2

12\frac{1}{2}  

0

Tags

CCSS.HSF.TF.A.2

4.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Select ALL that apply: Which of the following is a point on the unit circle?

(1, 1)

(-1, 0)

(12, 0)\left(\frac{1}{2},\ 0\right)  

(22, 22)\left(\frac{\sqrt[]{2}}{2},\ \frac{\sqrt[]{2}}{2}\right)  

(−32, 12)\left(\frac{-\sqrt[]{3}}{2},\ \frac{1}{2}\right)  

Tags

CCSS.HSF.TF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What point on the unit circle corresponds to 3π2\frac{3\pi}{2}  ?

(0, 1)

(1, 0)

(0, -1)

(-1, 0)

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When drawing a right triangle from any point on the unit circle to the x-axis, the hypotenuse is equal to one.

True

False

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many degrees would be in one quadrant of a circle?

45°45\degree  

180°180\degree  

30°30\degree  

90°90\degree  

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

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