$$\theta + 360n$$, where $$n is $$any integer

Question 1

Which of the following best describes coterminal angles?

Accepted Answer

Angles that share both the same initial and terminal sides.

Question 2

What is the smallest positive angle coterminal with $$-480^\circ$$?

Accepted Answer

$$120^\circ$$

Question 3

Which of the following is a coterminal angle with $$1000^\circ$$?

Accepted Answer

$$280^\circ$$

Question 4

If an angle measures $$-37^\circ$$, what is the smallest positive coterminal angle?

Accepted Answer

$$323^\circ$$

Question 5

Which equation can be used to find all coterminal angles of a given angle $$	heta$$?

Accepted Answer

$$	heta + 360n$$, where $$n is $$any integer

Question 6

A Ferris wheel rotates $$710^\circ$$ from its starting position. What is the smallest positive coterminal angle?

Accepted Answer

$$350^\circ$$

Question 7

Which of the following angles is NOT coterminal with $$45^\circ$$?

Accepted Answer

$$135^\circ$$

Question 8

A clock hand rotates $$-150^\circ. $$What is a positive coterminal angle between $$0^\circ$$ and $$360^\circ$$?

Accepted Answer

$$210^\circ$$

Question 9

If $$	heta = 270^\circ$$, which of the following is a negative coterminal angle?

Accepted Answer

$$-90^\circ$$

Question 10

A wind turbine blade rotates $$-1000^\circ. $$What is the smallest positive coterminal angle?

Accepted Answer

$$80^\circ$$

Question 11

Which of the following statements is TRUE about coterminal angles?

Accepted Answer

Coterminal angles can be found by adding or subtracting multiples of $$360^\circ.$$

Question 12

If an angle is $$-370^\circ$$, what is its positive coterminal angle between $$0^\circ$$ and $$360^\circ$$?

Accepted Answer

$$350^\circ$$

Question 13

A rotating platform turns $$1080^\circ. $$What is the smallest positive coterminal angle?

Accepted Answer

$$0^\circ$$

Coterminal Angles in Trigonometry

Study Guide - Practice Questions