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Mathematics

12th

grade

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Complex Numbers Polar Form

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Kaylene Connell

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5 questions

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  • Fill in the Blank
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    15 minutes
    1 pt

    3cis(0.5) x 4cis(2) = ?

    Enter your answer without any spaces in the form acis(b)

  • Multiple Choice
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    15 minutes
    1 pt

    True or False:

     3cis(2π3)=3(cos⁡(2π3)+isin⁡(2π3))3cis\left(\frac{2\pi}{3}\right)=3\left(\cos\left(\frac{2\pi}{3}\right)+i\sin\left(\frac{2\pi}{3}\right)\right)  

    True

    False

  • Multiple Choice
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    15 minutes
    1 pt

     3cis(3π4) ×4cis(3π8)3cis\left(\frac{3\pi}{4}\right)\ \times4cis\left(\frac{3\pi}{8}\right)  is equal to which of the following?

     12cis(9π8)12cis\left(\frac{9\pi}{8}\right)  

     7cis(9π8)7cis\left(\frac{9\pi}{8}\right)  

     12cis(9π32)12cis\left(\frac{9\pi}{32}\right)  

     7cis(9π32)7cis\left(\frac{9\pi}{32}\right)  

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