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anonymous

  • 5 years ago

Explain why i^3=-i. What does i^4 equal?

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  1. anonymous
    • 5 years ago
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    i^4=i^3*i=-i*i=-i^2=-(-1)=1

  2. anonymous
    • 5 years ago
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    I dont undertand how though

  3. gw2011
    • 5 years ago
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    i^2=-1 (i^2)(i)=(-1)(i)=-i i^4=(i^2)(i^2)=(-1)(-1)=1

  4. amistre64
    • 5 years ago
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    you ever tell time by a clock?

  5. anonymous
    • 5 years ago
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    yea

  6. amistre64
    • 5 years ago
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    this is just clock addition .... but it only has 4 hours around it

  7. amistre64
    • 5 years ago
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    i is at 12 oclock; i^2 is at 3oclock; i^3 at 6 oclock; and i^4 at 9 oclock. does that make sense?

  8. anonymous
    • 5 years ago
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    amistre64 u shud try sayin the unit circle...

  9. amistre64
    • 5 years ago
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    unit circle is an advanced concept, but yes :)

  10. amistre64
    • 5 years ago
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    like this

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  11. amistre64
    • 5 years ago
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    the reason it changes between is and 1s is that it is actually rotating thru the complex plane;

  12. anonymous
    • 5 years ago
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    amistre64 can u give some of u r medals to me? :D lol

  13. amistre64
    • 5 years ago
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    sure lol

  14. anonymous
    • 5 years ago
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    ya rotation is e^(i\theta)

  15. amistre64
    • 5 years ago
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    theres 1 :)

  16. anonymous
    • 5 years ago
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    thnx...

  17. amistre64
    • 5 years ago
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    if you know how a clock moves from 9 to 3 by adding 6 hours; then this should be easy enough to understand

  18. amistre64
    • 5 years ago
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    its also known as modular addition

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