anonymous
  • anonymous
Express the complex number in trigonometric form. -6i
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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hartnn
  • hartnn
to convert it to trigonometric form, you need to find r and \(\theta\) bring 6i in the form of x+iy then \(r = \sqrt{x^2+y^2}\) and \(\theta = \arctan(y/x)\)
hartnn
  • hartnn
then your trigonometric form will be \(r (\cos \theta + i \sin \theta)\)

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hartnn
  • hartnn
** -6i
anonymous
  • anonymous
6(cos 90 + i sin 90)?
hartnn
  • hartnn
sure?
hartnn
  • hartnn
lets verify 6 cos 90 = 6*0 = 0 6 sin 90 = 6 so its actually +6i but we need -6i
anonymous
  • anonymous
oh!!! 6(cos 180 + i sin 180)
hartnn
  • hartnn
not actually... cos 180 is not 0.. we just need a negative sign in between, so we can take the angle as -90 and whats the positive angle representation of -90 ??? hint: add 360
anonymous
  • anonymous
270...
hartnn
  • hartnn
yep

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