Free Printable Unit Circle Trig Practice

1.

$\sin\left(-135\degree\right)$

a)

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

b)

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

c)

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

d)

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

2.

$\cos\ \left(-\frac{11\pi}{3}\right)$

a)

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

b)

$\frac{1}{2}$

c)

$-\frac{1}{2}$

d)

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

3.

For what angles are sine and cosine the same?

a)

0^o

b)

45^oand 135⁰

c)

45^oand 225⁰

d)

45^oand 315⁰

4.

sin π =

a)

0

b)

1

c)

-1

d)

undefined

5.

cos π =

a)

0

b)

1

c)

-1

d)

undefined

6.

tan 270=?

a)

0

b)

1

c)

-1

d)

undefined

7.

cos 150=?

a)

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

b)

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

c)

$\frac{1}{3}$

d)

$\frac{1}{2}$

8.

tanθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

9.

cos -240°

a)

-2

b)

$-\frac{1}{2}$

c)

$-\sqrt{3}$

d)

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

10.

sin -60°

a)

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

b)

0

c)

$\frac{1}{2}$

d)

1

11.

tan -240°

a)

$-\frac{1}{2}$

b)

$-\sqrt{3}$

c)

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

d)

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

12.

$\sec\ \left(-900\degree\right)$

a)

-1

b)

1

c)

0

d)

undefined

13.

$\sin\ \left(-840\degree\right)$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

14.

csc 120 $\degree$

a)

-2

b)

2

c)

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

d)

$-\ \sqrt[]{3}$

15.

a)

csc x

b)

sec x

c)

cot x

d)

tan x

16.

$\tan\left(\frac{5\pi}{4}\right)$

a)

√2/2

b)

-√2/2

c)

-1

d)

1

17.

cot 450^o

a)

0

b)

1

c)

-1

d)

und

18.

What is the coordinate point at $\frac{4\pi}{3}$ ?

a)

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

b)

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

c)

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

d)

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

19.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

20.

Convert the following to radians:
720⁰

a)

3π

b)

4π

c)

5π

21.

$\csc\ 390\degree$

a)

-2

b)

2

c)

$\sqrt{2}$

d)

- $\sqrt{2}$

22.

True or False

cos 90 = sin 360

a)

True

b)

False

23.

sec (-60) = ?

a)

2

b)

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

c)

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

d)

-2

24.

Using the Unit Circle, find the exact value of this trig function.

a)

1

b)

0

c)

-1

d)

undefined

e)

The correct answer is not listed

25.

$\cot\ 4\pi$

a)

1

b)

-1

c)

0

d)

undefined

26.

For what angles are sine and cosine the same?

a)

0^o

b)

45^oand 135⁰

c)

45^oand 225⁰

d)

45^oand 315⁰

27.

What is the cosine of $-\frac{\pi}{3}$ radians

a)

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

b)

$\frac{5\pi}{3}$

c)

$\frac{1}{2}$

d)

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

28.

In what quadrant is $-160\degree$

a)

I

b)

II

c)

III

d)

IV

29.

Which angles have sine values of $\frac{1}{2}$

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{3}$

c)

$\frac{5\pi}{6}$

d)

$\frac{5\pi}{3}$

30.

In which quadrant is $-\frac{7\pi}{3}$

a)

I

b)

II

c)

III

d)

IV

31.

$\sin\ \frac{11}{6}\pi$

a)

$-\frac{1}{2}$

b)

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

c)

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

d)

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

32.

Using your unit circle, what is $\csc\left(-\frac{7\pi}{3}\right)$ ?

a)

$2$

b)

$-2$

c)

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

d)

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

33.

What is the value of $\tan\left(\frac{\pi}{4}\right)$ ?

a)

1

b)

0

c)

-1

d)

undefined

34.

Calculate the value of $\cos\left(270\degree\right)$ .

a)

0

b)

1

c)

-1

d)

undefined

35.

What is the result of $\csc\left(-\frac{\pi}{6}\right)$ ?

a)

-2

b)

2

c)

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

d)

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

Unit Circle Trig Practice

Total questions: 35

Worksheet time: 47mins

Similar Resources on Wayground