COMPLEX NUMBERS Polar Form Operations (Page 4 of 4)

As a final example, we will find the fourth power of 2cis34°. Remember to change the angle to radians, and use a set of parentheses around the Euler notation.

 2nd QUIT key. CLEAR key.

 Left parenthesis key. 2 2nd e to the x key. Left parenthesis key. 34 Multiply key. 2nd Pi key. Divide key. 180 Right parenthesis key.
 2nd i key. Right parenthesis key. Right parenthesis key. Caret key. 4 ENTER key.

Calculator screen image.

Notice that the modulus of the result, 16, is the fourth power of the original modulus, and the argument of the result, 136°, is four times the original argument of 34°.

Copyright © 2010 Turner Educational Publishing
Go back to the previous page. Go to the next page. Go to the Table of Contents. Go to the Index page. Go to the Quiz page. Exit to the Home page.