anonymous
  • anonymous
Thanks for helping! I need to convert complex numbers into rectangular form. I'm stuck on this one: 5(cos(5pi/4)+isin(5pi/4))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@Hero @perl @jim_thompson5910 @ganeshie8 @aaronq @zepdrix
anonymous
  • anonymous
@TheSmartOne @Loser66 @Luigi0210
misty1212
  • misty1212
HI!!

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anonymous
  • anonymous
hi
misty1212
  • misty1212
this is not nearly as hard as it looks evaluate the functions and distribute is all
misty1212
  • misty1212
do you know \(\cos(\frac{5\pi}{4})\)?
anonymous
  • anonymous
-1/sqrt(2)
misty1212
  • misty1212
yeah most people write \(-\frac{\sqrt 2}{2}\) but it is the same thing
anonymous
  • anonymous
I'm sort of confused about the isin though
misty1212
  • misty1212
how about \(\sin(\frac{5\pi}{4})\)
anonymous
  • anonymous
Is there a formula I need to follow?
anonymous
  • anonymous
-sqrt(2)/2
misty1212
  • misty1212
let me ask you a question how is it you know the sine, but not the cosine?
anonymous
  • anonymous
?
misty1212
  • misty1212
or the other way around seems like if you are able to find one, you should be able to find the other it is not like one is more difficult or something
misty1212
  • misty1212
yeah they are both \(-\frac{\sqrt 2}{2}\)
anonymous
  • anonymous
so I just plug it in and simplify?
misty1212
  • misty1212
so \[5\left (-\frac{\sqrt2}{2}-i\frac{\sqrt 2}{2}\right)\]
anonymous
  • anonymous
ok
misty1212
  • misty1212
then distribute
misty1212
  • misty1212
that is all yes
anonymous
  • anonymous
oh cool
anonymous
  • anonymous
thanks!
misty1212
  • misty1212
\[\color\magenta\heartsuit\]

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