Complex Numbers in Polar Form

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CCSS.HSN.CN.B.4

Express the complex number 2 + 2i√3 in polar form.

• 4 ( cos π /6 + i sin π /6)

• 4 ( cos π /3 + i sin π /3)

• 4 ( cos 2π /3 + i sin 2π /3)

• 4 ( cos 5π /3 + i sin 5π /3)

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CCSS.HSN.CN.B.4

Write the -3i in polar form

• 3 ( cos 3π/2 + i sin 3π/2)

• 3 ( cos π/2 + i sin π/2)

• 9 ( cos 3π/2 + i sin 3π/2)

• 3 ( cos 2π + i 2π)

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CCSS.HSN.CN.B.4

If

z=1/2 ( cos π /3 + i sin π /3)

w=3 ( cos π /6 + i sin π /6)

Find z/w and express your final answer in rectangular form.

• √3/12 + 1/12 i

• 12√3 + 12 i

• √3/12 - 1/12 i

• 12√3 - 12i

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CCSS.HSN.CN.B.4

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CCSS.HSN.CN.B.4

Which are possible coordinates of the point graphed?

• (-2, 120^o)

• (-2, 60^o)

• (2, -120^o)

• (2, 60^o)

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CCSS.HSN.CN.B.4

• −6+6i

• 12i

• 12

• -12

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CCSS.HSN.CN.B.4

• 3+3i

• 6i

• −6i

• 3−3√3i

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CCSS.HSN.CN.B.4

• 
• 
• 
• 

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CCSS.HSN.CN.B.4

• −15

• 15

• 
• 

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CCSS.HSN.CN.B.4