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Find the Angle on Unit Circle

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Find the Angle on Unit Circle
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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A ____ angle is an angle whose vertex is a the center of a circle.

supplementary

complimentary

central

obtuse

Tags

CCSS.HSG.C.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the value of θ, theta, in degrees on the unit circle?

30°

45°

60°

90°

Tags

CCSS.5.G.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is this angle in radians?

3π2\frac{3\pi}{2}

4π3\frac{4\pi}{3}

7π6\frac{7\pi}{6}

3π4\frac{3\pi}{4}

Tags

CCSS.HSF.TF.A.1

4.

DRAG AND DROP QUESTION

1 min • 1 pt

Let θ represent an angle on the unit circle, with 0≤θ≤π20\le\theta\le\frac{\pi}{2} , such that tan⁡θ=33\tan\theta=\frac{\sqrt[]{3}}{3} . Drag and drop the correct answer into each blank. sin⁡(3θ)=\sin\left(3\theta\right)= ​ (a)   cos⁡(−4θ)=\cos\left(-4\theta\right)= ​ (b)  

11  

−12-\frac{1}{2}  

undefined

−1-1

12\frac{1}{2}

32\frac{\sqrt[]{3}}{2}

−32-\frac{\sqrt[]{3}}{2}

00

22\frac{\sqrt[]{2}}{2}

−22-\frac{\sqrt[]{2}}{2}

Answer explanation

Media Image

Tags

CCSS.HSF.TF.C.9

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Let θ represent an angle on the unit circle, with 0≤θ≤π20\le\theta\le\frac{\pi}{2} , such that tan⁡θ=33\tan\theta=\frac{\sqrt[]{3}}{3} .

Drag and drop the correct answer into each blank.

sin⁡(3θ)=\sin\left(3\theta\right)= ​ (a)  

cos⁡(−4θ)=\cos\left(-4\theta\right)= ​ (b)  

11  

−12-\frac{1}{2}  

undefined

−1-1

12\frac{1}{2}

32\frac{\sqrt[]{3}}{2}

−32-\frac{\sqrt[]{3}}{2}

00

22\frac{\sqrt[]{2}}{2}

−22-\frac{\sqrt[]{2}}{2}

Answer explanation

Media Image

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

1
2
3
4

Tags

CCSS.HSF.TF.A.2

7.

MATCH QUESTION

1 min • 3 pts

Media Image

Using θ as a reference angle, mark the triangle sides as Opp, Adj, and Hyp. Label these on the triangle on your paper.

Hyp

OP

Opp

x

Adj

y

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