Trigonometric or Polar Form of Complex Numbers

Examples, solutions, videos, worksheets, and activities to help PreCalculus students learn the trigonometric or polar form of complex numbers.

The following diagram shows how to write complex numbers in polar form. Scroll down the page for more examples and solutions.

 

Trigonometric Form of Complex Numbers
A convenient form for numbers in the complex plane, other than rectangular form, is the trigonometric form of complex numbers. The trigonometric form of complex numbers uses the modulus and an angle to describe a complex number’s location. It is important to be able to convert from rectangular to trigonometric form of complex numbers and from trigonometric to rectangular form.

How to write complex numbers in trigonometric form?
Graph complex numbers
Convert a complex number in rectangular form to trigonometric form
Convert a complex number in trigonometric form to rectangular form

Expressing a Complex Number in Trigonometric or Polar Form, Ex 1

Expressing a Complex Number in Trigonometric or Polar Form, Ex 2

Expressing a Complex Number in Trigonometric or Polar Form, Ex 3

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