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In the following exercise, find the quotient z1 / z2 of the complex number. Leave the answer in polar form.

z1 = 2 + 2i
z2 = 1 + i

2007-12-01 13:41:22 · 2 answers · asked by ambriz_jesus18 1 in Science & Mathematics Mathematics

2 answers

z = a + bi = re^(t*i)
t = arctan(b/a)
r = |a + bi|
r1 = |2+2i| = sqrt(2^2 +2^2) =2sqrt(2)
t1 = arctan(2/2) = pi/4
r2 = |1 + i| = Sqrt(1^2 + 1^2)
t2 = arctan(1/1) = pi/4

z1/z2 = 2sqrt(2)e^(pi/4*i)/ (sqrt(2)e^(pi/4*i)) = 2e^0 or 2cis(0) or 2

2007-12-01 16:00:26 · answer #1 · answered by SOmath4 2 · 1 0

That's a stupid question to have assigned, frankly, since the answer is so obviously just 2.

2007-12-01 16:02:27 · answer #2 · answered by Curt Monash 7 · 0 0

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