Quiz about Unit 5B Unit Circle

Question 1

Which degree is equivalent to $$\frac{\pi}{4}$$ ?

Accepted Answer

$$45\degree$$

Answer

$$210\degree$$

Answer

$$150\degree$$

Answer

$$60\degree$$

Question 2

How many radians make up a SEMICIRCLE?

Accepted Answer

$$\pi$$

Answer

90

Answer

$$2\pi$$

Answer

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

Question 3

What is the radian measure at $$315\degree$$ ?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

What is the order of the coordinate pairs for the points on the Unit Circle?

Accepted Answer

$$\left(\cos heta,\sin heta ight)$$

Answer

$$\left( an heta,\sin heta ight)$$

Answer

$$\left(\cot heta,\cos heta ight)$$

Answer

$$\left(\sin heta,\cos heta ight)$$

Question 5

What is $$\cos\left(\frac{5\pi}{6}\right)$$ ?

Accepted Answer

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

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

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

Question 6

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

What is the coordinate point at $$225\degree$$ on the unit circle?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 8

What is the cosine of $$\pi$$ radians?

Accepted Answer

-1

Answer

0

Answer

1

Answer

$$\frac{1}{2}$$

Question 9

According to the Unit Circle on a coordinate plane, what is truth about Cosine?

Accepted Answer

Cos = x

Answer

Cos = y

Answer

Cos = t

Answer

Cos = z

Question 10

According to the Unit Circle on a coordinate plane, what is truth about Sine?

Accepted Answer

Sin = y

Answer

Sin = x

Answer

Sin = t

Answer

Sin = z

Question 11

Identify the Positive angle in both radians and degrees that represent point D.

Accepted Answer

$$60\degree,\ \frac{\pi}{3}$$

Answer

$$45\degree,\ \frac{\pi}{4}$$

Answer

$$-60\degree,\ -\frac{\pi}{3}$$

Answer

$$90\degree,\ \frac{\pi}{2}$$

Question 12

Identify the Positive angle in both radians and degrees that represent point H.

Accepted Answer

$$150\degree,\ \frac{5\pi}{6}$$

Answer

$$135\degree,\ \frac{3\pi}{4}$$

Answer

$$180\degree,\ \pi$$

Answer

$$210\degree,\ \frac{7\pi}{6}$$

Question 13

How many radians are in one revolution?

Accepted Answer

$$2\pi$$

Answer

$$\pi$$

Answer

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

Unit 5B Unit Circle

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