Home » Complex and Imaginary Numbers

# Category Archives: Complex and Imaginary Numbers

## Complex Number Trigonometric Form Representation problem example

Express the following Complex Numbers in Trigonometric Form:

-12

-8i

2 – 2i

Solution to this Complex Number Trigonometric Form Representation practice problem is provided in the video below!

## Trigonometric Complex Number Product Quotient Power Rectangular Standard Form Representation example question

Find the resulting Complex Number in standard (rectangular) form for the following:

Solution to this Trigonometric Complex Number Product Quotient Power Rectangular Standard Form Representation practice problem is provided in the video below!

## Square Roots of a Complex Number example

Find the two Square Roots of

Solution to this Square Roots of a Complex Number practice problem is provided in the video below!

## Complex Number Rectangular POLAR Form Conversion example problem

Express the following POLAR Complex Number in Trigonometric and Rectangular Form:

Express the following Rectangular Complex Number in Trigonometric Form and POLAR Form:

5i

Solution to this Complex Number Polar Rectangular Form Conversion practice problem is provided in the video below!

## Complex Number POLAR Product Quotient Power example question

Find the resulting Complex Number in POLAR form for the following:

a)

b)

Find the resulting Complex Number in POLAR and RECTANGULAR (standard) form:

Solution to this Complex Number Polar Product Quotient Power practice problem is provided in the video below!

## POLAR Complex Number Nth Root Theorem example

Find the Four 4th (Fourth) Roots of

Solution to this Polar Complex Number Nth Root Theorem practice problem is provided in the video below!

## Complex and Imaginary Numbers example question

1. Simplify the following complex number expressions:

a.

b.

2. Find the conjugate of the following complex number:

3. Evaluate the following complex number expression by using the appropriate complex number conjugate:

Solution to these Complex and Imaginary Numbers practice problems is given in the video below!