Converting Complex Numbers between Trigonometric Form and Rectangular Form

Free online video lessons with examples and solutions to help PreCalculus students learn how to convert complex numbers between trigonometric or polar form and rectangular form.

Converting Complex Numbers from Trigonometric Form to Rectangular:
Both the trigonometric form and the rectangular form are useful ways to describe complex numbers, and so it is important to understand converting complex numbers from trigonometric form to rectangular. The method for converting complex numbers from trigonometric form to rectangular is the reverse of converting from rectangular to trigonometric form.

How to convert a complex number from trigonometric form to rectangular form?

Complex Numbers: Convert From Polar to Complex Form
In this video, we take a number in polar form and write it in complex form.

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Converting Complex Numbers From Rectangular Form to Trigonometric
Both the trigonometric form and the rectangular form are useful ways to describe complex numbers, and so we must understand how to convert from rectangular form to trigonometric form. To convert from rectangular form to trigonometric form we need to calculate the modulus and the angle of the position vector. It is also important to be able to convert from trigonometric to rectangular form.

How to convert a complex number from rectangular form to trigonometric form?

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Expressing a Complex Number in Trigonometric or Polar Form, Ex 1.
This video lesson shows how to write a complex number in polar form.

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Expressing a Complex Number in Trigonometric or Polar Form, Ex 2.
Just another example of writing a complex number in polar form.

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