11. Graphing Complex Numbers

Polar Form of Complex Numbers

Multiple Choice
Express the complex number $z = 7 + 11 i$ in polar form.
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Multiple Choice
Express the complex number $z=2-4i$ in the polar form.
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Multiple Choice
Express the complex number $z = 1 - \frac{\sqrt{3}}{3} i$ in polar form.
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Multiple Choice
Convert the complex number $z=12\left(\cos90\degree+i・\sin90\degree\right)$ from polar to rectangular form.
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Multiple Choice
Convert the complex number $z=\sqrt2\left(\cos\frac{7\pi}{4}+i・\sin\frac{7\pi}{4}\right)$ from polar to rectangular form.
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Textbook Question
In Exercises 1–10, plot each complex number and find its absolute value.z = 4i
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Textbook Question
In Exercises 1–10, plot each complex number and find its absolute value.z = 3 + 2i
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Textbook Question
In Exercises 1–10, plot each complex number and find its absolute value.z = −3 + 4i
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Textbook Question
In Exercises 11–26, plot each complex number. Then write the complex number in polar form. You may express the argument in degrees or radians.2 + 2i
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Textbook Question
In Exercises 11–26, plot each complex number. Then write the complex number in polar form. You may express the argument in degrees or radians.−4i
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Textbook Question
In Exercises 11–26, plot each complex number. Then write the complex number in polar form. You may express the argument in degrees or radians.−3
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Textbook Question
In Exercises 11–26, plot each complex number. Then write the complex number in polar form. You may express the argument in degrees or radians.−3 + 4i
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Textbook Question
In Exercises 27–36, write each complex number in rectangular form. If necessary, round to the nearest tenth.6(cos 30° + i sin 30°)
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Textbook Question
In Exercises 27–36, write each complex number in rectangular form. If necessary, round to the nearest tenth.8(cos 7π/4 + i sin 7π/4)
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Textbook Question
In Exercises 27–36, write each complex number in rectangular form. If necessary, round to the nearest tenth.20(cos 205° + i sin 205°)
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