Practice Problems and Examples for Complex Numbers

Use DeMoivre’s Theorem to find the indicated power of the complex number .Write answer in rectangular form.
${(\sqrt{3} - i)}^{6}$

naivlingr 2020-12-07

Write the complex number in standart form $6 i^{2} - 8 i^{3}$

UkusakazaL 2020-11-30

Write the standard form of the complex number.
$12 (\cos (60^{\circ}) + i \sin (60^{\circ}))$

Reggie 2020-11-08

Adam starts with the number z=1+2i on the complex plane. First, he dilates z by factor of 2 about the origin. Then, he reflects it across the real axis. Finally, he rotates it $90^{\circ}$ counterclockwise about the origin. The resulting complex number can be written in form a+bi where a and b are real numers. What is the resukring complex number?

Annette Arroyo 2020-11-08

Determine whether H is a subgroup of the complex numbers C with addition
$H = {a + b i ∣ a, b \in R, a b \geq 0}$

hexacordoK 2020-11-05

Solve by using De Moivre's Theorem (find real and imaginary part of complex number):
${(\sqrt{3} + i)}^{3}$

Marvin Mccormick 2020-11-01

Find the principal argument and exponential form of $z = \frac{i}{1 + i}$ If z=x+iy is a complex number

Ernstfalld 2020-10-31

Every real number is also a complex number? True of false?

Brennan Flores 2020-10-28

Solve it please $7^{2} = ?$

Amari Flowers 2020-10-20

A credit card contains 16 digits between 0 and 9. However, only 100 million numbers are valid. If a number is entered randomly, what is the probability that it is a valid number?

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Precalculus

Understanding Complex Numbers - Examples and Equations