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Polar and Cartesian form of complex numbers

Directions: Use the digits 1- 9, at most one time each, to fill in the boxes so that the result is as close as possible to the number i.

Hint

Hint

What could be done to make a multiplication between a number in polar form and a number in Cartesian form easier?
Which angles for polar form might produce a Cartesian form that has a root in it?

Answer

Answer

There are two solutions:
4/8 cis( 6/9 pi) ( sqrt(3) – 1i)
2/4 cis( 6/9 pi) ( sqrt(3) – 1i)

Source: David K Butler

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