Education Technology

Solution 11977: Performing Polar and Rectangular Conversions using a TI-83 Family or TI-84 Family Graphing Calculator.

How do I perform polar and rectangular conversions using a TI-83 family or TI-84 family graphing calculator?

The examples below demonstrate how to perform polar to rectangular and rectangular to polar coordinate conversions using a TI-83 family or TI-84 family graphing calculator. Converting coordinates requires two separate operations, one for each point in an ordered pair.

Example: Convert polar coordinates (1, p) to rectangular coordinates using P>Rx( and P>Ry(

• Press [MODE] and be sure that Radian mode is selected.
• Press [2nd] [ANGLE] [7].
• Input 1,p). 
• Press [ENTER] to display the answer -1.

• Press [2nd] [ANGLE] [8].
• Input 1,p).
• Press [ENTER] to display your answer 0. So the polar coordinates (1,p), when converted to rectangular coordinates, equal (-1,0).

Convert rectangular coordinates to polar coordinates using R>Pr( and R>Pq(

• Press [2nd] [ANGLE] [5].
• Input -1,0). 
• Press [ENTER] to return the answer 1. 

• Press [2nd] [ANGLE] [6].
• Input -1,0).
• Press [ENTER] to get the result 3.14...

  Please see the TI-83 family and TI-84 Plus family guidebooks for additional information.