Coterminal Angles

Practice Questions

Trigonometry › Coterminal Angles

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1

Find the least positive coterminal angle to $-1140^{\circ}$ .

2

What is the coterminal angle of 82o?

3

Find a positive and a negative angle coterminal with a $\frac{\pi}{4}$ angle.

4

Find a positive and a negative angle coterminal with a $3\pi$ angle.

5

Identify coterminal angles among the following pairs:

$(60^{\circ},410^{\circ})$

$(50^{\circ},-310^{\circ})$

$(80^{\circ},280^{\circ})$

$(45^{\circ},135^{\circ})$

$(50^{\circ},230^{\circ})$

6

Which of the following angles is coterminal to $-130 ^{\circ}$ ?

7

Determine the next nearest positive and nearest negative coterminal angle to $\frac{\pi}{2}$

8

Find the least positive coterminal angle to $-\frac{2\pi}{5}$

9

Determine the nearest negative coterminal angle to $\frac{7\pi}{9}$

10

Find a positive and negative angle that are coterminal with a $60^{\circ}$ angle.

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