The Unit Circle

Question 1

Which of the following best explains why ?

Revolt · Accepted Answer

Cosine is negative in the second quadrant and positive in the fourth quadrant.

Question 2

Which of the following is true of the values of x and y in the diagram below?

Revolt · Accepted Answer

StartFraction y Over x EndFraction = 1

Question 3

Which expression is equivalent to ?

Revolt · Accepted Answer

sine StartFraction 11 pi Over 6 EndFraction

Question 4

Which expression can be used to determine the reference angle for an angle, x, measuring 150°?

Revolt · Accepted Answer

180 degrees minus x

Question 5

For which value of is ?

Revolt · Accepted Answer

StartFraction 3 pi Over 2 EndFraction

Question 6

What is the value of in the unit circle below?

Revolt · Accepted Answer

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Question 7

The terminal side of an angle measuring radians intersects the unit circle at what point?

Revolt · Accepted Answer

(StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half)

Question 8

Which of the following is true of the location of the terminal side of an angle, , whose sine value is ?

Revolt · Accepted Answer

has a reference angle of 30° and is in Quadrant I or II

Question 9

Which equation can be used to determine the reference angle, r, if ?

Revolt · Accepted Answer

r = pi minus theta

Question 10

On the unit circle, where , when is undefined?

Revolt · Accepted Answer

and

The Unit Circle Answers