Representing complex numbers

• r [ ncos(θ) + i nsin(θ) ]

• r [ cos(nθ) + i sin(nθ) ]

• rⁿ [ cos(nθ) + i sin(nθ) ]

• rⁿ [ cos(θⁿ) + i sin(θⁿ) ]

Calculate the modulus (R) and argument (θ) for z = 3 - 7i

• R = √58, θ = 66.8°

• R = 7.6, θ = 246.8°

• R = √58, θ = 293.2°

• R = 7.6 , θ = 113.2 °

How do you write an ordered pair?

• (X,X)
• (θ, r)
• (r,θ)
• (Y,Y)

Find the polar coordinates of the rectangular point. (0,3)

• (3,π)
• (3,0)
• (3,π/2)
• (3,-3π/2)

If z = 2(cos(20) + isin(20)) and w = 3(cos(105) + isin(105)), find z / w. Choose all that apply.

• 2/3(cos(-85) + isin(-85))

• 2/3(cos(275) + isin(275))

• 3/2(cos(85) + isin(85))

• 6(cos(125) + isin(125))

Write the rectangular equation x² + y² = 9 in polar form.

• r = 3 or r = -3

• r = 9 or r = -9

• r = 6 or r = -6

• r = 18 or r = -18

A coordinate system is right handed if

• its orientation equals 1

• its orientation equals -1

• counter clockwise ( 0 < θ < π )

• clockwise ( 0 < θ < π )

Name the feature shown by the interval: AC

• sector

• arc

• radius

• diameter

• tangent

• D

• C

• B

• A

Find the right Argand's Diagram for z = 4 - 8i

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