SOLUTION: represent the ff. complex numbers into polar form
1/(1-i)^2
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Question 1177965: represent the ff. complex numbers into polar form
1/(1-i)^2
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!
The problem also gives you an opportunity to practice the use of deMoivre's Theorem, which is a very powerful tool.
Convert each complex number to A*cisB form.
Square the second one using deMoivre's Theorem.
Perform the division using deMoivre's Theorem.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
.......first simplify
........rationalize
so
Polar form
where and where
=> and
To find argument we use one of the following formulas:
if
° if
° if and
in your case and , so °
and polar form is:
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