Free Printable Reference and Coterminal Angles

1.

Find the reference angle.

a)

$-\frac{4\pi}{9}$

b)

$\frac{2\pi}{9}$

c)

$-\frac{5\pi}{18}$

d)

$\frac{5\pi}{18}$

2.

Find the reference angle.

a)

$-\frac{\pi}{4}$

b)

$\frac{\pi}{4}$

c)

$\frac{3\pi}{8}$

d)

$-\frac{3\pi}{8}$

3.

What is the reference angle for 2pi/3

a)

pi/4

b)

7pi/6

c)

4pi/3

d)

pi/3

4.

Which angle is COTERMINAL to $\frac{\pi}{4}$ ?

a)

$\frac{7\pi}{4}$

b)

$\frac{3\pi}{4}$

c)

$-\frac{5\pi}{4}$

d)

$\frac{9\pi}{4}$

5.

Which of the following angles are coterminal to the angle $-\frac{5\pi}{3}$ ? Select all that apply.

a)

$\frac{\pi}{3}$

b)

$-\frac{11\pi}{3}$

c)

$\frac{7\pi}{3}$

d)

$-\frac{15\pi}{3}$

6.

Which of the following angles are coterminal to the angle $-\frac{3\pi}{4}$ ? Select all that apply.

a)

$\frac{7\pi}{4}$

b)

$\frac{\pi}{4}$

c)

$-\frac{7\pi}{4}$

d)

$-\frac{11\pi}{4}$

7.

Find an angle coterminal with an angle measuring 17π / 4 radians.

a)

π ∕ 3

b)

5π ∕ 4

c)

π ∕ 4

d)

13π ∕ 4

8.

Are $-\frac{3\pi}{4}$ and $\frac{5\pi}{4}$ coterminal angles?

a)

Yes

b)

No

9.

Are $\frac{15\pi}{4}$ and $-\frac{3\pi}{4}$ coterminal angles?

a)

Yes

b)

No

10.

To find an angle that is coterminal to a given angle, add or subtract _______________ and the given angle.

a)

$\pi$

b)

$\frac{\pi}{2}$

c)

$3\pi$

d)

$2\pi$

11.

What is the reference angle for 5pi/4?

a)

pi/4

b)

7pi/4

c)

pi/6

d)

pi/3

12.

What is the reference angle for 2pi/3

a)

pi/4

b)

7pi/6

c)

4pi/3

d)

pi/3

13.

Find the reference angle for an angle measuring θ = 7π / 5

a)

π / 5

b)

2π /5

c)

3π / 5

d)

4π / 5

14.

Find the reference angle for an angle measuring θ = 11π / 7

a)

2π / 7

b)

3π / 7

c)

4π / 7

d)

5π /7

15.

Find the largest negative coterminal angle coterminal with a $\frac{\pi}{4}\ radians$ .

a)

$-\frac{9\pi}{4}\ radians$

b)

$-\frac{7\pi}{4}\ radians$

c)

$-\frac{3\pi}{4}\ radians$

d)

$-\frac{5\pi}{4}\ radians$

16.

Which of the following is a reference angle for $\frac{26\pi}{15}\ radians\ ?$

a)

$\frac{4\pi}{15}\ radians$

b)

$\frac{7\pi}{45}\ radians$

c)

$\frac{\pi}{15}\ radians$

d)

$-\frac{4\pi}{15}\ radians$

17.

Which of the following is a reference angle for $-\frac{5\pi}{36}\ radians\ ?$

a)

$\frac{5\pi}{36}\ radians$

b)

$\frac{3\pi}{4}\ radians$

c)

$\frac{13\pi}{36}\ radians$

d)

$-\frac{5\pi}{36}\ radians$

Reference and Coterminal Angles

Total questions: 17

Worksheet time: 23mins

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