11. Graphing Complex Numbers

Polar Form of Complex Numbers

11. Graphing Complex Numbers

Polar Form of Complex Numbers

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Complex Numbers In Polar Form

Converting Complex Numbers from Polar to Rectangular Form

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Finding the Absolute Value of Complex Numbers

02:58

Finding the Absolute Value of Complex Numbers

Finding the absolute value of a complex number ex 4

Absolute Value of a Complex Number

Mario's Math Tutoring

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00:54

Trigonometric Form of Complex Numbers

Complex Numbers in Polar Form

How to convert complex numbers from standard rectangular to polar trigonometric form precalculus pre

Complex Number in quadrant 3 to Trigonometric Polar Form

Complex Numbers - Changing to Modulus-Argument Form

Trigonometric Form of Complex Numbers

Trigonometric Form of Complex Numbers

Complex Numbers Converting From Trigonometric to Rectangular Form

Complex Numbers - Changing to Modulus-Argument Form

Converting Complex Numbers to Rectangular form

Complex Numbers in Polar Form

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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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Textbook Question

In Exercises 77–80, convert to polar form and then perform the indicated operations. Express answers in polar and rectangular form. _ _ (1 + i√3)(1 − i) / 2√3 − 2i

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Textbook Question

In Exercises 11–14, plot each complex number. Then write the complex number in polar form. You may express the argument in degrees or radians. 1 − i

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Textbook Question

In Exercises 15–18, write each complex number in rectangular form. If necessary, round to the nearest tenth. 8(cos 60° + i sin 60°)

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Textbook Question

In Exercises 15–18, write each complex number in rectangular form. If necessary, round to the nearest tenth. 6 (cos 2π/3 + i sin 2π/3)

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Textbook Question

_ Write −√3 + i in polar form.

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11. Graphing Complex Numbers

Polar Form of Complex Numbers

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Practice this topic