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### 19.3. Complex Numbers on the Calculator

Most graphing calculators can easily handle complex numbers. Here we will show how to enter complex numbers in either form, rectangular or polar, convert that number to either form, and do basic operations with complex numbers having the result displayed in either form. We will do this for both the TI-83/84 and TI-89 calculators.

#### 19.3.1. Entering and Converting Complex Numbers on the Calculator

You can select one of the two complex number modes available on your calculator. You can enter a complex number in any mode, but it will be displayed in the mode you have chosen.

This is the screen on the TI-83/84. The seventh line shows the number modes, Real, a+bi (rectangular mode), and re^θi (polar mode, which on the TI-83/84 is displayed in exponential form).

screen on the TI-89 showing the complex formats: REAL, RECTANGULAR, and POLAR.

## Example 22:

Enter the complex number 7 + 3i on the TI-83/84. Have the answer displayed in (a) rectangular form, (b) polar form in degrees, and (c) polar form in radians.

Solution: To enter a complex number, enter the real and the ordinary and the imaginary parts, in any order, separated by a plus or minus sign. ...

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