SOLUTION: Write the following numbers in the polar form re^iθ A) 1/5 r = ? θ= ? B) 5 + 5i r=5sqrt(2) θ= ? C) 3-3i r= 3sqrt(2) θ= ?

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Question 1042216: Write the following numbers in the polar form re^iθ
A) 1/5
r = ? θ= ?

B) 5 + 5i
r=5sqrt(2) θ= ?

C) 3-3i
r= 3sqrt(2) θ= ?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Write the following numbers in the polar form re^iθ
Note:: The horizontal axis is Real
The vertical axis is Imaginary
------
A) 1/5
r = 1/5 θ= pi/2
Point (0,1/5)
y = (1/5)e(i*pi/2)
----------------------------
B) 5 + 5i
r=5sqrt(2) θ= arctan(5/5) = pi/4
Point (5,5)
y = 5*sqrt(2)e^(i*pi/4)
---------------------------
C) 3-3i
Point (3,-3)
r= 3sqrt(2) θ= (7/4)pi
y = 3sqrt(2)*e^(i*(7/4)pi)
========================
Cheers,
Stan H.
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