The Unit Circle

Question 1

What is the value of in the unit circle below?

Revolt · Accepted Answer

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Question 2

What is the reference angle for a 240° angle?

Revolt · Accepted Answer

60°

Question 3

What is the value of in the diagram below?

Revolt · Accepted Answer

StartFraction 24 Over 25 EndFraction

Question 4

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 5

On the unit circle, where , when is undefined?

Revolt · Accepted Answer

and

Question 6

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

Revolt · Accepted Answer

180 degrees minus x

Question 7

What is the value of in the diagram below?

Revolt · Accepted Answer

Three-fifths

Question 8

Which expression is equivalent to ?

Revolt · Accepted Answer

sine StartFraction 11 pi Over 6 EndFraction

Question 9

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

Revolt · Accepted Answer

r = pi minus theta

Question 10

Which of the following best explains why ?

Revolt · Accepted Answer

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

The Unit Circle Answers