Multiply and Divide Complex Numbers in Polar Form

Find the product z₁z₂ of the complex numbers z₁ = 6 ( cos ​125^o+ i sin 125^o​ )

z₂ = 2 ( cos 55^o​ + i sin 55^o​ )

• 3 ( cos 70​^o+ i sin 70^o​ )

• 12 ( cos ​70^o+ i sin 70^o​ )

• 3 ( cos 180^o+ i sin 180^o​ )

• 12 ( cos ​180^o+ i sin 180^o​ )

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CCSS.HSN.CN.B.4

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CCSS.HSN.CN.B.4

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CCSS.HSN.CN.B.4

• 3 ( cos 150^o​ + i sin 150^o​ )

• 10 ( cos 150^o​ + i sin 150^o​ )

• 3 ( cos 270^o​ + i sin 270^o​ )

• 10 ( cos 270^o​ + i sin 270^o​ )

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CCSS.HSN.CN.B.4

If z = 2(cos(20^o) + isin(20^o)) and w = 3(cos(105^o) + isin(105^o)), find z / w. Choose all that apply.

• 2/3(cos(225^o) + isin(225^o))

• 2/3(cos(275^o) + isin(275^o))

• 3/2(cos(85^o) + isin(85^o))

• 6(cos(125^o) + isin(125^o))

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CCSS.HSN.CN.B.4

Find

5(cos 2π /3 + i sin 2π /3)⋅2( cos π /3 + i sin π /3)

in trig form. Then express your final answer in rectangular form.

• -10

• 10

• -10i

• 10i

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CCSS.HSN.CN.B.4

• POLAR FORM

• RECTANGULAR FORM

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CCSS.HSN.CN.B.4

• A
• B
• C
• D

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CCSS.HSN.CN.B.4

When we multiply two complex numbers in polar form

• We add the moduli and multiply the arguments

• We multiply both the arguments and the moduli

• We multiply the moduli and add the arguments

• We multiply the moduli and subtractthe arguments

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CCSS.HSN.CN.B.4

When we divide two complex numbers in polar form

• We subtract the moduli and multiply the arguments

• We divide both the arguments and the moduli

• We divide the moduli and add the arguments

• We divide the moduli and subtract the arguments

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CCSS.HSN.CN.B.4