Express the following complex number in the form re^(i theta)

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Express the following complex number in the form re^(i theta)

Mathematics
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6i
I know I need to use r cos theta+ i sin theta
  • phi
if you plot it, it might be self-evident

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Other answers:

The book wants the mathematical description. I need to find r?
  • phi
of course you want a theta so that cos theta =0
  • phi
it is almost the same problem as changing (x,y) to polar coords
Here is whtat the book says do but I dont get it. 6i=r cos theta + i r sin theta r=6 (why?) inverse tan (6/0) is pi/2 so it is 6e^(I PI/2)
  • phi
the "r" factors out r ( cos x + i sin x) the magnitude squared is r^2 * 1 (right?) and square root gives r
i really do think drawing it first as @phi suggested will get your understanding there quickest
This is pchem math review I'm not really sure how to draw it just trying to make sense of this.
  • phi
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Thanks just moved to diff question I get the graph now that is in my textbook but need math steps help

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