The Unit Circle Answers
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1
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For which value of is ?
A
StartFraction pi Over 2 EndFraction
B
Pi
C
StartFraction 3 pi Over 2 EndFraction
D
2 pi
2
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What is the value of in the unit circle below?
A
One-half
B
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
D
StartRoot 3 EndRoot
3
Which of the following is true of the values of x and y in the diagram below?
A
y < xB
y > xC
y + x = 1D
StartFraction y Over x EndFraction = 1
4
What is the value of in the diagram below?
A
StartFraction 7 Over 25 EndFraction
B
StartFraction 7 Over 24 EndFraction
C
StartFraction 24 Over 25 EndFraction
D
StartFraction 24 Over 7 EndFraction
5
Which equation can be used to determine the reference angle, r, if ?
A
r = theta
B
r = pi minus theta
C
r = theta minus pi
D
r = 2 pi minus theta
6
Which expression is equivalent to ?
A
sine StartFraction pi Over 6 EndFraction
B
sine StartFraction 5 pi over 3 EndFraction
C
sine StartFraction 5 pi over 3 EndFraction
D
sine StartFraction 11 pi Over 6 EndFraction
7
On the unit circle, where , when is undefined?
A
and
B
sine theta = cosine theta
C
and
D
sin theta = StartFraction 1 Over cosine theta EndFraction
8
Which of the following best explains why ?
A
The angles do not have the same reference angle.B
Tangent is positive in the second quadrant and negative in the fourth quadrant.C
Tangent is negative in the second quadrant and positive in the fourth quadrant.D
The angles do not have the same reference angle or the same sign.9
Which of the following best explains why ?
A
The angles do not have the same reference angle.B
Cosine is negative in the second quadrant and positive in the fourth quadrant.C
Cosine is positive in the second quadrant and negative in the fourth quadrant.D
The angles do not have the same reference angle or the same sign.10
The terminal side of an angle measuring radians intersects the unit circle at what point?
A
(StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half)
B
(one-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
C
(StartFraction StartRoot 3 EndRoot Over 3 EndFraction, one-half)
D
(one-half, StartFraction StartRoot 3 EndRoot Over 3 EndFraction)
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