11. Graphing Complex Numbers

Express the complex number $z=7+11i$ in polar form.

Express the complex number $z=2-4i$ in the polar form.

Express the complex number $z=1-\frac{\sqrt{3}}{3}i$ in polar form.

Convert the complex number $z=12\(\left\)(\(\cos\)90\(\degree\)+i・\(\sin\)90\(\degree\]\right\))$ from polar to rectangular form.

Convert the complex number $z=\(\sqrt\)2\(\left\)(\(\cos\]\frac{7\pi}{4}\)+i・\(\sin\[\frac{7\pi}{4}\]\right\))$ from polar to rectangular form.

Plot each complex number and find its absolute value. z = −3 + 4i

Plot each complex number. Then write the complex number in polar form. You may express the argument in degrees or radians. 2 + 2i

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

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

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

In Exercises 27–36, write each complex number in rectangular form. If necessary, round to the nearest tenth. 6(cos 30° + i sin 30°)

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)

In Exercises 27–36, write each complex number in rectangular form. If necessary, round to the nearest tenth. 20(cos 205° + i sin 205°)

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

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