Quiz about Co-Terminal Angles

Question 1

Add:

$$\frac{\pi}{3}+2\pi$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\frac{7\pi}{6}$$

Question 2

Subtract:

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

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\frac{7\pi}{6}$$

Question 3

Add:

$$\frac{3\pi}{4}+2\pi$$

Accepted Answer

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

Answer

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

Answer

$$\frac{11\pi}{8}$$

Answer

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

Question 4

Subtract:

$$\frac{3\pi}{4}-2\pi$$

Accepted Answer

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

Answer

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

Answer

$$\frac{11\pi}{8}$$

Answer

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

Question 5

Add:

$$-\frac{5\pi}{6}+2\pi$$

Accepted Answer

$$\frac{7\pi}{6}$$

Answer

$$-\frac{7\pi}{6}$$

Answer

$$-\frac{17\pi}{6}$$

Answer

$$-\frac{3\pi}{6}$$

Question 6

Subtract:

$$-\frac{5\pi}{6}-2\pi$$

Accepted Answer

$$-\frac{17\pi}{6}$$

Answer

$$-\frac{7\pi}{6}$$

Answer

$$\frac{7\pi}{6}$$

Answer

$$-\frac{3\pi}{6}$$

Question 7

Find the POSITIVE co-terminal angle for:

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

Accepted Answer

$$\frac{5\pi}{2}$$

Answer

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

Answer

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

Answer

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

Question 8

Find the NEGATIVE co-terminal angle for:

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

Accepted Answer

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

Answer

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

Answer

$$-\frac{5\pi}{2}$$

Answer

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

Question 9

Find the POSITIVE co-terminal angle for:

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

Accepted Answer

$$\frac{17\pi}{7}$$

Answer

$$-\frac{11\pi}{7}$$

Answer

$$\frac{17\pi}{14}$$

Answer

$$\frac{5\pi}{7}$$

Question 10

Find the NEGATIVE co-terminal angle for:

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

Accepted Answer

$$-\frac{11\pi}{7}$$

Answer

$$\frac{17\pi}{7}$$

Answer

$$-\frac{17\pi}{14}$$

Answer

$$\frac{5\pi}{7}$$

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