MATH152 April 2016
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Question B 05 (c)
Consider . Recall that .
(c) Write in polar form. That is, find a real number and such that .
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In the polar form of a complex number , two variables and are determined by the relations
- and .
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For any complex number ,
we have and .
We know from part (b) that
We also have .
We are given that . From part (a), is in the second quadrant, which is consistent with a negative tangent.
So we know that must form an angle of with the -axis and lie in the second quadrant. We also require that .
Therefore, the desired polar form is .
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MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Polar coordinates