anonymous
  • anonymous
Write the complex number is rectangular form 20(cos 300 degrees +i sin 300 degrees)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@phi
phi
  • phi
first, do you now what cos 300º = ?
phi
  • phi
if you don't have a calculator you could sketch it |dw:1378308438419:dw|

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anonymous
  • anonymous
1/2
anonymous
  • anonymous
Solve for i over the real numbers: 10-10 sqrt(3) i = 0 Factor the left hand side. Factor constant terms from the left hand side: -10 (sqrt(3) i-1) = 0 Divide both sides by a constant to simplify the equation. Divide both sides by -10: sqrt(3) i-1 = 0 Isolate terms with i to the left hand side. Add 1 to both sides: sqrt(3) i = 1 Solve for i. Divide both sides by sqrt(3): Answer: | | i = 1/sqrt(3)
anonymous
  • anonymous
Thank you a ton! how did you come up with the 10-10sqrt(3)i=0 equation?
phi
  • phi
20(cos 300 degrees +i sin 300 degrees) as you posted cos(60) (which = cos(300) ) = 1/2 the sin(300) = -sin(60) (see sketch) = - sqr (3)/2 put those values into your expression 20 ( 1/2 - sqr(3)/2 i) distribute the 20 to get 20* 1/2 - 20* sqr(3)/2 i or 10 - 10 sqr(3) i which is a complex number in rectangular coordinates.

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