Graphing Polar Equations

Question 1

What is the argument of z = ?

Revolt · Accepted Answer

Negative StartFraction pi Over 3 EndFraction

Question 2

For the complex number z = 12 + i, what is ?

Revolt · Accepted Answer

12 – i

Question 3

What is the polar form of ?

Revolt · Accepted Answer

4 StartRoot 3 EndRoot (cosine (StartFraction 4 pi Over 3 EndFraction) + I sine (StartFraction 4 pi Over 3 EndFraction) )

Question 4

What is the rectangular form of z = ?

Revolt · Accepted Answer

z = negative 20 StartRoot 3 EndRoot minus 20 i

Question 5

Review the graph of complex number z.

Revolt · Accepted Answer

5 StartRoot 2 EndRoot (cosine (negative StartFraction pi Over 4 EndFraction) + I sine (negative StartFraction pi Over 4 EndFraction) )

Question 6

Review the graph of complex number z.

Revolt · Accepted Answer

On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (5, negative 2).

Question 7

Which graph represents ?

Revolt · Accepted Answer

On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A point is around (negative 1, 1.75).

Question 8

What is the polar form of ?

Revolt · Accepted Answer

18(cos(150°) + isin(150°))

Question 9

What is the rectangular form of 12(cos() + isin())?

Revolt · Accepted Answer

-12

Question 10

Which pair of equations can be used to verify the rectangular form, z = a + bi, and the polar form of a complex number are equivalent?

Revolt · Accepted Answer

a = rcos(θ) and b = rsin(θ)

Graphing Polar Equations Answers