anonymous
  • anonymous
Express the complex number in trigonometric form. -3 + 3 square root of threei
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@ganeshie8
ganeshie8
  • ganeshie8
\(\large -3+3\sqrt{3}~i\)
anonymous
  • anonymous
yeah

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ganeshie8
  • ganeshie8
which quadrant does it lie in ?
anonymous
  • anonymous
2
ganeshie8
  • ganeshie8
good, so we know that the angle must be something in between 90 and 180
anonymous
  • anonymous
okay yes
ganeshie8
  • ganeshie8
can you find below angle ? |dw:1439749188526:dw|
anonymous
  • anonymous
using soh cah toa?
ganeshie8
  • ganeshie8
you may use a trig ratio : \[\tan(\theta) = \dfrac{3\sqrt{3}}{3}\]
anonymous
  • anonymous
60 degrees
anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
@imqwerty
Loser66
  • Loser66
@ganeshie8 he disappears. Can I raise my hand?? hahaha...
ganeshie8
  • ganeshie8
sure :) im on phone..
ParthKohli
  • ParthKohli
I'm disappointed. The question could have been made a tad more interesting by making it \(-3 + 3 \sqrt {3i} \)
anonymous
  • anonymous
that is the question parthkohli
anonymous
  • anonymous
@Loser66 yeah you can help!
ganeshie8
  • ganeshie8
|dw:1439752753216:dw|
anonymous
  • anonymous
135
ganeshie8
  • ganeshie8
how ?
anonymous
  • anonymous
120? add 90 and 30
ganeshie8
  • ganeshie8
120 is right
ganeshie8
  • ganeshie8
so the argument(angle) of complex number is 120
ganeshie8
  • ganeshie8
can u find the length ?
anonymous
  • anonymous
from where?
ganeshie8
  • ganeshie8
length of complex number
ganeshie8
  • ganeshie8
the red part shown in previous diagrams
anonymous
  • anonymous
wait how do I find the length?
ganeshie8
  • ganeshie8
|dw:1439753063886:dw|
ganeshie8
  • ganeshie8
use pythagoras theorem
ganeshie8
  • ganeshie8
length = \(\large \sqrt{3^2 + (3\sqrt{3})^2} = ?\)
anonymous
  • anonymous
4.3
ganeshie8
  • ganeshie8
nope, try again
anonymous
  • anonymous
for someone reason i keep making this harder for me than it is
anonymous
  • anonymous
6
ganeshie8
  • ganeshie8
\(\large \sqrt{3^2 + (3\sqrt{3})^2} = \sqrt{9+27} = \sqrt{36}=6\)
ganeshie8
  • ganeshie8
so we have length = 6 angle = 120 write out the complex number in trig form
anonymous
  • anonymous
And how do I set that up?

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