Modeling with Periodic Functions — Unit test Answers
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21
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Which of the following is the equation of the function below?
A
y equal to 2 cosecant left-square-bracket 0 point 5 (x plus StartFraction pi over 2 EndFraction) right-square-bracket minus 1.
B
y equal to 2 cosecant left-square-bracket 2 (x plus StartFraction pi over 4 EndFraction) minus 1 right-square-bracket.
C
y equal to 0 point 5 cosecant left-square-bracket 0 point 5 (x plus StartFraction pi over 2 EndFraction) right-square-bracket minus 1.
D
y equal to 0 point 5 cosecant left-square-bracket 2 (x plus StartFraction pi over 4 EndFraction) right-square-bracket minus 1.
22
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Which of the following is true of the location of an angle, , whose tangent value is ?
A
has a 30-degree reference angle and is located in Quadrant II or IV
B
has a 30-degree reference angle and is located in Quadrant II or III
C
has a 60-degree reference angle and is located in Quadrant II or IV
D
has a 60-degree reference angle and is located in Quadrant II or III
23
What is 270° converted to radians?
A
StartFraction pi Over 6 EndFraction
B
StartFraction 3 Over 2 EndFraction
C
StartFraction 3 pi Over 2 EndFraction
D
324
Suppose you want to transform the graph of the function into the graph of the function . Which transformations should you perform?
A
Reflect the graph of the first function across the x-axis, translate it units to the left, and translate it 2 units up.
B
Reflect the graph of the first function across the x-axis, translate it units to the right, and translate it 2 units up.
C
Reflect the graph of the first function across the line , translate it units to the left, and translate it 2 units up.
D
Reflect the graph of the first function across the line , translate it units to the right, and translate it 2 units up.
25
The angle measures associated with which set of ordered pairs share the same reference angle?
A
(Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction , negative one-half), (negative one-half, Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
B
(one-half, Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction), (Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half)
C
(Negative one-half, negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction), (One-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
D
(StartFraction StartRoot 3 EndRoot Over 2 EndFraction, one-half), (one-half, StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
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