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dashkin111
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[SOLVED] Complex Numbers
I was given an equation with complex numbers, and told to convert to polar coordinates. I was able to find r relatively easily, but finding the angle is giving me trouble- I am having difficulties in breaking the equation down into imaginary and real parts.
The equation:
[tex]\frac{-6}{9+4i}[/tex]
See part 1.
I found r by doing the following:
[tex]\frac{|-6|}{|9+4i|}[/tex]
[tex]\frac{6}{\sqrt{81+16}}[/tex]
[tex]r=\frac{6}{\sqrt{97}}[/tex]
Now finding theta is where I get into trouble. I can't seem to understand what to do. I tried just doing it as if all of the fraction was imaginary, which would give me -pi/2 (am I right in thinking this?), but that doesn't work.
Homework Statement
I was given an equation with complex numbers, and told to convert to polar coordinates. I was able to find r relatively easily, but finding the angle is giving me trouble- I am having difficulties in breaking the equation down into imaginary and real parts.
The equation:
[tex]\frac{-6}{9+4i}[/tex]
Homework Equations
See part 1.
The Attempt at a Solution
I found r by doing the following:
[tex]\frac{|-6|}{|9+4i|}[/tex]
[tex]\frac{6}{\sqrt{81+16}}[/tex]
[tex]r=\frac{6}{\sqrt{97}}[/tex]
Now finding theta is where I get into trouble. I can't seem to understand what to do. I tried just doing it as if all of the fraction was imaginary, which would give me -pi/2 (am I right in thinking this?), but that doesn't work.
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