Free Printable Unit Circle Trig Quiz

1.

Josh, Ayden, and Louis were studying trigonometry. Josh told them that he knew the terminal point determined by $\frac{11\pi}{6}$ on the unit circle. What was the correct answer he told them?

a)

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

b)

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

c)

$\left(\frac{1}{2},\ \frac{\sqrt[]{3}}{2}\right)$

d)

$\left(\frac{\sqrt[]{3}}{2},\ \frac{1}{2}\right)$

2.

Madison, JaMyia, and Jaylen are studying trigonometry. They are trying to find the terminal point determined by $-\frac{5\pi}{3}$ on the unit circle. Can you help them?

a)

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

b)

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

c)

$\left(\frac{1}{2},\ \frac{\sqrt[]{3}}{2}\right)$

d)

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

3.

Caleb, Nickwane, and Josiah are studying trigonometry. They come across a problem where they need to find the value of $\sin\left(\frac{3\pi}{2}\right)$ . What would be the correct answer?

a)

0

b)

-1

c)

1

d)

Undefined

4.

Darius, Ethan, and Korbin are studying trigonometry. They come across a problem where they need to find the value of cos(150^o). What is the correct value?

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$-\frac{\sqrt[]{3}}{2}$

d)

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

5.

Chelsea, Khadir, and Jayden are studying trigonometry. Mr. Williams asks them to tell him the value of $\tan\left(\frac{7\pi}{6}\right)$ . What should they tell him is the correct answer?

a)

$\frac{1}{2}$

b)

$\frac{1}{\sqrt[]{3}}$

c)

$-\sqrt[]{3}$

d)

$-\frac{\sqrt[]{3}}{2}$

6.

The 3-C crew is studying trigonometry. After realizing that they secretly wish they were a part of "Cinco", they come across a problem where they need to calculate the secant of an angle. The angle is given as $-\frac{17\pi}{6}$ . What is the value of $\sec\left(-\frac{17\pi}{6}\right)$ ?

a)

$-\frac{2}{\sqrt[]{3}}$

b)

-2

c)

2

d)

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

7.

Keith, Rushawn, and Orane are studying trigonometry. Rushawn forgot how to find the value of $\tan\left(-\frac{11\pi}{2}\right)$ . What should Keith tell him to choose in order to get the correct answer?

a)

0

b)

1

c)

undefined

d)

-1

8.

Destiny is studying trigonometry and she comes across a problem where she needs to find the value of $\tan\left(30\degree\right)$ . What would be the correct answer?

a)

$\sqrt{3}$

b)

$\frac{\sqrt{3}}{3}$

c)

$1$

d)

$-\sqrt{3}$

9.

Daniel, Zoe, and Evelyn are studying trigonometry. They come across a problem where they need to find the value of $\csc\left(\frac{2\pi}{3}\right)$ . What is the correct answer?

a)

$2$

b)

$\frac{2\sqrt{3}}{3}$

c)

$-\frac{2\sqrt{3}}{3}$

d)

$\frac{1}{2}$

10.

Anika, David, and Rohan are studying trigonometry. They come across a problem where they need to find the value of $\cot\left(120\degree\right)$ . Can you help them solve it?

a)

$\sqrt{3}$

b)

$\frac{\sqrt{3}}{3}$

c)

$-\sqrt{3}$

d)

$-\frac{\sqrt{3}}{3}$

11.

Emma, Noah, and Ethan are studying trigonometry. They come across a problem where they need to find the value of $\cos\left(\frac{5\pi}{6}\right)$ . What would be the correct answer?

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

$-\frac{\sqrt[]{3}}{2}$

12.

Ephraim, Amoi, and Zaniah are studying trigonometry. They come across a problem where they need to find the value of $\tan\left(-\frac{3\pi}{4}\right)$ . What would be the correct answer?

a)

$1$

b)

$-1$

c)

$\sqrt[]{3}$

d)

$-\sqrt[]{3}$

13.

Lerone, Anina, and Chase are studying trigonometry. They come across a problem where they need to find the value of $\csc\left(\frac{4\pi}{3}\right)$ . What is the correct answer?

a)

$2$

b)

$-2$

c)

$\frac{2\sqrt{3}}{3}$

d)

$-\frac{2\sqrt{3}}{3}$

Unit Circle Trig Quiz

Total questions: 13

Worksheet time: 35mins

Similar Resources on Wayground