AnswersMO-Algebra II APerforming Operations with Complex Numbers

Vectors and Their Components Answers

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21
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What is the rectangular form of 17(cos(315°) + isin(315°))?

A
StartFraction 17 StartRoot 2 EndRoot Over 2 EndFraction minus StartFraction 17 StartRoot 2 EndRoot Over 2 EndFraction i
Option A
B
StartFraction 17 StartRoot 2 EndRoot Over 2 EndFraction + StartFraction 17 StartRoot 2 EndRoot Over 2 EndFraction i
Option B
C
Negative StartFraction 17 StartRoot 2 EndRoot Over 2 EndFraction minus StartFraction 17 StartRoot 2 EndRoot Over 2 EndFraction i
Option C
D
Negative StartFraction 17 StartRoot 2 EndRoot Over 2 EndFraction + StartFraction 17 StartRoot 2 EndRoot Over 2 EndFraction i
Option D
22
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Which graph represents the polar curve r = 4cos(3θ)?

A
On a polar coordinate plane, a rose curve has 8 petals. Four petals are on the x and y-axes.
Option A
B
On a polar coordinate plane, a rose curve has 3 petals. One petal goes to (4, 0), another to (4, StartFraction 2 pi Over 3), and another goes to (4, StartFraction 4 pi Over 3 EndFraction).
Option B
C
On a polar coordinate plane, a rose curve has 8 petals. The petals are not on the x- or y-axes.
Option C
D
On a polar coordinate plane, a rose curve has 3 petals. One petal goes to (4, StartFraction pi Over 6 EndFraction), another to (4, StartFraction 5 pi Over 6), and another goes to (4, StartFraction 3 pi Over 2 EndFraction).
Option D
23

The equation r = 4sin(θ) represents a circle. What is the radius of the circle, and what is the symmetry of the graph?

A
The radius is 2 units, and the graph is symmetric about the line .
Option A
B
The radius is 4 units, and the graph is symmetric about the line .
Option B
C
The radius is 2 units, and the graph is symmetric about the polar axis.
D
The radius is 4 units, and the graph is symmetric about the polar axis.
24

What is the polar form of ?

Question illustration
A
18(cos(120°) + isin(120°))
B
18(cos(150°) + isin(150°))
C
324(cos(120°) + isin(120°))
D
324(cos(150°) + isin(150°))

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