anonymous
  • anonymous
Explain why i^3=-i. What does i^4 equal?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
i^4=i^3*i=-i*i=-i^2=-(-1)=1
anonymous
  • anonymous
I dont undertand how though
gw2011
  • gw2011
i^2=-1 (i^2)(i)=(-1)(i)=-i i^4=(i^2)(i^2)=(-1)(-1)=1

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amistre64
  • amistre64
you ever tell time by a clock?
anonymous
  • anonymous
yea
amistre64
  • amistre64
this is just clock addition .... but it only has 4 hours around it
amistre64
  • amistre64
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?
anonymous
  • anonymous
amistre64 u shud try sayin the unit circle...
amistre64
  • amistre64
unit circle is an advanced concept, but yes :)
amistre64
  • amistre64
like this
1 Attachment
amistre64
  • amistre64
the reason it changes between is and 1s is that it is actually rotating thru the complex plane;
anonymous
  • anonymous
amistre64 can u give some of u r medals to me? :D lol
amistre64
  • amistre64
sure lol
anonymous
  • anonymous
ya rotation is e^(i\theta)
amistre64
  • amistre64
theres 1 :)
anonymous
  • anonymous
thnx...
amistre64
  • amistre64
if you know how a clock moves from 9 to 3 by adding 6 hours; then this should be easy enough to understand
amistre64
  • amistre64
its also known as modular addition

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