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Casey Palmer
Mathematics
18 June, 13:11
Express the number in polar form 4 - 4i
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Jacklyn
18 June, 13:34
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Polar form of a complex number is r (cos (theta) + i sin (theta))
r is equal to the total distance created by the rectangular coordinates of the complex number
r = Root (4^2 + (-4) ^2) = Root (32) = 4 Root (2)
To find theta, if a > 0, use arctan (b/a), where:
a = the first number
b = the second number
arctan (-4/4) = - 45 degrees (-0.7854 radians)
Your answer is 4 Root (2) (cos (-45) + i sin (-45))
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