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Olenka [21]
3 years ago
10

Rewrite −1 + 2i in polar form.

Mathematics
1 answer:
raketka [301]3 years ago
8 0
The length of the radius would sqrt(1+4), or sqrt(5).
                                                                                           2
The angle would be in Quadrant II and would be arctan ------ , or arctan (-2).
                                                                                           -1

Find this angle using a calculator or table.

Then you end up with -1+2i = sqrt(5) angle arctan(-2).  The angle would be + and measured from the + horizontal axis.
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Since angles 3 and 4 are supplementary, they add up to 180 degrees.

Angle 3 is 88 degrees.

To get the measure of the last angle, let's subtract 88 from 180.

180 - 88 = 92

Thus, Angle 4 has a measure of 92 degrees.

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Step-by-step explanation:

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