The Unit Circle Answers
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1
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Which of the following is true of the location of the terminal side of an angle, , whose sine value is ?
A
has a reference angle of 30° and is in Quadrant I or II
B
has a reference angle of 30° and is in Quadrant I or IV
C
has a reference angle of 60° and is in Quadrant I or II
D
has a reference angle of 60° and is in Quadrant I or IV
2
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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.3
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
4
What is the value of in the diagram below?
A
Three-fifths
B
Three-fourths
C
Four-fifths
D
Four-thirds
5
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
6
Which expression can be used to determine the reference angle for an angle, x, measuring 150°?
A
180 degrees minus x
B
x minus 180 degrees
C
360 degrees minus x
D
x minus 360 degrees
7
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)
8
The radius of the circle below intersects the unit circle at . What is the value of tan ?[Not drawn to scale]
A
mc009-4.jpg
B
mc009-5.jpg
C
mc009-6.jpg
D
mc009-7.jpg
9
For which value of is ?
A
StartFraction pi Over 2 EndFraction
B
Pi
C
StartFraction 3 pi Over 2 EndFraction
D
2 pi
10
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
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