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AmTran_Bus

  • one year ago

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

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  1. AmTran_Bus
    • one year ago
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    6i

  2. AmTran_Bus
    • one year ago
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    I know I need to use r cos theta+ i sin theta

  3. phi
    • one year ago
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    if you plot it, it might be self-evident

  4. AmTran_Bus
    • one year ago
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    The book wants the mathematical description. I need to find r?

  5. phi
    • one year ago
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    of course you want a theta so that cos theta =0

  6. phi
    • one year ago
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    it is almost the same problem as changing (x,y) to polar coords

  7. AmTran_Bus
    • one year ago
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    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)

  8. phi
    • one year ago
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    the "r" factors out r ( cos x + i sin x) the magnitude squared is r^2 * 1 (right?) and square root gives r

  9. IrishBoy123
    • one year ago
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    i really do think drawing it first as @phi suggested will get your understanding there quickest

  10. AmTran_Bus
    • one year ago
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    This is pchem math review I'm not really sure how to draw it just trying to make sense of this.

  11. phi
    • one year ago
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    |dw:1440263499512:dw|

  12. IrishBoy123
    • one year ago
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    |dw:1440263764596:dw|

  13. AmTran_Bus
    • one year ago
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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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