anonymous
  • anonymous
Algebra help??? Write the complex number 1+i in polar form. A. √3(cos30°+i sin 30°) B. √2(cos45°+i sin 45°) C. 2(cos30°+i sin 30°) D. -√3(cos30°+i sin 30°)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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misty1212
  • misty1212
HI!!
misty1212
  • misty1212
you need two numbers \(r\) and \(\theta\) \(r\) is the easiest, it is \[r=\sqrt{a^2+b^2}=\sqrt{1+1}=\sqrt2\]
misty1212
  • misty1212
then you need \(\theta\) which is easy to find there

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misty1212
  • misty1212
|dw:1446579643278:dw|
misty1212
  • misty1212
since you went to the right one and up one, the angle is \(45^\circ\)
anonymous
  • anonymous
Thank you! Mind to do another for me?
misty1212
  • misty1212
go ahead and ask
anonymous
  • anonymous
Write the complex number -3i in polar form. A. 3(cos270°+i sin 270°) B. -3(cos60°+i sin 60°) C.√3 (cos90°+i sin 90°) D. √3(cos180°+i sin 180°)
misty1212
  • misty1212
even easier
misty1212
  • misty1212
absolute value is clearly 3, pick the first one since that is the only one with a 3 out front
misty1212
  • misty1212
also it is right the angle is 270
anonymous
  • anonymous
Thank you c:
misty1212
  • misty1212
\[\color\magenta\heartsuit\]

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