Representing complex numbers

Convert from rectangular to polar coordinates. (-4, 4)

• (4√2, π/4)
• (4√2, 3π/4)
• (4√2, -π/4)
• (-4√2, -7π/4)

• F

• E

• B

• A

• circle

• looped limacon

• spiral of Archimedes

• lemniscate

Convert the rectangular coordinates to polar form

• (√8 , 7π/6)
• (4 , 3π/4)
• (√8 , π/6)
• (8 , 7π/6)

 $z=3e^{5.2134i}$  Express z in polar form

•  $z=3\angle5.213\degree$  

•  $z=5\angle298.71\degree$  

•  $z=3\angle298.71\degree$  

•  $3\angle298.75\degree$  

Which are the two equations to convert from Cartesian to Polar

• r² = a² + b²

• d = a - b / 2 . t

• cos( $\theta$ ) r

• sin( $\theta$ ) r

• tan ( $\theta$ ) = b/a

Let z₁ = a + bi and z₂ = a - bi. z₃ = z_{1 .}z₂. Which quadrant or axis will z₃be located in?

• I

• II

• Real

• Complex

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

• 2/3(cos(225^o) + isin(225^o))

• 2/3(cos(275^o) + isin(275^o))

• 3/2(cos(85^o) + isin(85^o))

• 6(cos(125^o) + isin(125^o))