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# How to convert a rectangular to polar and polar to rectangular equetion.( a+jb)

Eg; 13.78+j7.81= answer in Angular form that is 15.85 angle 29.54

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### Stevan Milanovic

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See cap image below Posted on Feb 26, 2016

### labbitibien

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The first thing you have to check is if your TI-83 is in the right mode, what I mean is when you press (MODE) you have to be in the Rect. or Polar depending on what you are doing.

Hope it helps !

Posted on Jun 17, 2014

### k24674

Hello,
Press [MODE] and select [1:COMP]
Press [SHIFT][MODE] and select [3:Deg]. You can also use rad if the angle you are given is in radians.
To start the conversion
Press [SHIFT][-] (Rec) screen displays Rec(
Key in the radius r , ex: 3 screen displays Rec(3
Press [SHIFT][)] (,) to enter comma separator Rec(3,
Key in the angle in degrees, ex: 57.3; screen displays Rec(3,57.3
Press ) to close parentheses; screen displays Rec(3, 57.3)
Press [=]
Screen displays
Rec(3, 57.3)
X=1.620720961
Y=2.524532346

X and Y are the values of the coordinates.

Rec(3, Pi) gives X=-3, Y=0

I just realized that your question pertains to the FX82MS but is listed under the FX115ES (That is quite a difference) So my answer above does not concern you but I will leave it as is should anyone need the answer for the FX115ES.

Look at the enclosed screen capture for the FX82MS Posted on Nov 16, 2010

### Anonymous

SOURCE: polar/rectangular

For a TI-86

Converting rectangular to polar
Press "2ND" and then "MORE" for the MODE screen
Highlight PolarC and press "ENTER"
Quit that screen.
A example of converting 5+j6
Enter "(5,6)" in the calculator and press "ENTER"
Should get (7.81024967591*angle*50.1944289077)

Converting polar to rectangular
Press "2ND" and then "MORE" for the MODE screen
Highlight RectC and press "ENTER"
Quit that screen.
A example of converting 5*angle*35
Enter "(5*angle*35)
Should get (4.09576022145,2.86788218176)

Note
*angle* is the symbol when you press "2ND" then ","

Note 2
To round the an decimal places press "2ND" then "MORE" for the MODE screen and on the line that says float, choose a number on that line for the number of decimal places you would like to have.

More can be found at

Posted on Jul 07, 2009

### k24674

Hello,

Here are exemples from the manual.  Posted on Sep 25, 2009

### k24674

Hello,
Press [MODE] and select [1:COMP]
Press [SHIFT][MODE] and select [3:Deg]. You can also use rad if the angle you are given is in radians.
To start the conversion
Press [SHIFT][-] (Rec) screen displays Rec(
Key in the radius r , ex: 3 screen displays Rec(3
Press [SHIFT][)] (,) to enter comma separator Rec(3,
Key in the angle in degrees, ex: 57.3; screen displays Rec(3,57.3
Press ) to close parentheses; screen displays Rec(3, 57.3)
Press [=]
Screen displays
Rec(3, 57.3)
X=1.620720961
Y=2.524532346

X and Y are the values of the coordinates.

Rec(3, Pi) gives X=-3, Y=0
Hope it helps

Posted on Oct 18, 2009

### k24674

Hello,
To avoid errors make sure that the angle unit is THE ONE required by your problem. To verify or to change the angle unit press [SIFT][MODE] and select [3: Deg] for degrees, [4:Rad] for radians, or [5:Grad] for grads.

Convert from rectangular to polar

[SHIFT][+] (Pol) . Screen displays Pol(
You enter the X-coordinate, and the Y coordinate separated by a comma, then you close the parenthesis and press [=].

Exemple: Polar coordinate of the point (1,1)
Pol( 1, 1) gives
r=1.414213562 (square root of 2)
θ=45

Here is how you enter it
Press [SHIFT][MODE][2:LineIO]
[SHIFT][POL] 1 [SHIF] [,] 1 [)] [=]

The screen displays
Pol(1,1)
r= 1.414213562
θ= 45

Convert from polar to rectangular coordinates

Exemple: Recatngular coordinates of (r=3, θ=60°)
[SHIFT][Rec] 3 [SHIFT][,] 60 [ ) ] [=]
The screen displays
Rec(3,60)
X= 1.5
Y= 2.598076211

Hope it helps.

Posted on Nov 15, 2009

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× ## Related Questions:

### How do I add or subtract numbers in polar form or rectengular form

If one or both numbers are in polar form, convert it/them to rectangular. Once both numbers are in rectangular form, simply add the two components separately: Add the two x components together, and add the two y components together.

If you're asking how to do this on a particular calculator, please specify the make and model.

Oct 15, 2013 | Office Equipment & Supplies

### Polar to rectangular conversion working incorrectly

At first, Rect and Polar are a display-format instructions, not a conversion functions. Polar instruction displays complex value in rectangular form a + bi. The complex value can have any complex form. However, an r*exp(i*theta) causes an eror in Degree angle mode according to the TI avowal. See captured images below    Sep 06, 2012 | Texas Instruments TI-84 Plus Calculator

### I need to convert the rectngular form to polar form , so how can i do that ?

In Run screen, Press OPTN, Press F6> repeatedly until you see the ANGL TAB. Press F6> again (once or twice). You will see the TAB Pol( and Rec(
To convert from Rectangular coordinates to Polar press POL(, type in the x and y coordinates then EXE
Example: F1: Pol(1,1) gives (1.314213562, 45)
F2: Rec(square root (2), 45) gives (1,1)
Make sure the angle unit is set to the one you need (degree or radian).

Apr 19, 2012 | Casio Algebra FX 2.0 Calculator

### How can i enter a polar form number with angle to convert into a complex numbe(a+bi)

Set the calculator to polar form, then simply enter the radius, press the comma key, then enter the angle (in whatever angular mode you've specified).
Full details are in Chapter 2 of the manual you can download from here.

Oct 25, 2011 | Office Equipment & Supplies

### How to change polar form to rectangular form by calculator?

Use the Rec function (shift of the - key).

Rec(r,t) converts a polar value of magnitude r and angle t in the current angular mode. The real value is assigned to X and the imaginary value is assigned to Y.

Use the Pol function (shift of the + key) for the reverse.

It's on page E-37 of the manual. If you've misplaced your manual, you can download a new one from http://www.casio.com/support/manuals

May 28, 2010 | Casio FX-115ES Scientific Calculator

### How can i enter a polar form number with angle to convert into a rect form

how can i enter a polar form number with angle to convert into a complex numbe(a+bi)

Apr 28, 2010 | Casio Algebra FX 2.0 Calculator

### Can you show how to convert pola to rectangular o

Hello,
To avoid errors make sure that the angle unit is THE ONE required by your problem. To verify or to change the angle unit press [SIFT][MODE] and select [3: Deg] for degrees, [4:Rad] for radians, or [5:Grad] for grads.

Convert from rectangular to polar

[SHIFT][+] (Pol) . Screen displays Pol(
You enter the X-coordinate, and the Y coordinate separated by a comma, then you close the parenthesis and press [=].

Exemple: Polar coordinate of the point (1,1)
Pol( 1, 1) gives
r=1.414213562 (square root of 2)
θ=45

Here is how you enter it
Press [SHIFT][MODE][2:LineIO]
[SHIFT][POL] 1 [SHIF] [,] 1 [)] [=]

The screen displays
Pol(1,1)
r= 1.414213562
θ= 45

Convert from polar to rectangular coordinates

Exemple: Recatngular coordinates of (r=3, θ=60°)
[SHIFT][Rec] 3 [SHIFT][,] 60 [ ) ] [=]
The screen displays
Rec(3,60)
X= 1.5
Y= 2.598076211

Hope it helps.

Nov 14, 2009 | Casio FX-115ES Scientific Calculator

### How to convert polar to rectangular form

Hello,
Press [MODE] and select [1:COMP]
Press [SHIFT][MODE] and select [3:Deg]. You can also use rad if the angle you are given is in radians.
To start the conversion
Press [SHIFT][-] (Rec) screen displays Rec(
Key in the radius r , ex: 3 screen displays Rec(3
Press [SHIFT][)] (,) to enter comma separator Rec(3,
Key in the angle in degrees, ex: 57.3; screen displays Rec(3,57.3
Press ) to close parentheses; screen displays Rec(3, 57.3)
Press [=]
Screen displays
Rec(3, 57.3)
X=1.620720961
Y=2.524532346

X and Y are the values of the coordinates.

Rec(3, Pi) gives X=-3, Y=0
Hope it helps

Oct 18, 2009 | Casio FX-115ES Scientific Calculator

### Polar/rectangular

For a TI-86

Converting rectangular to polar
Press "2ND" and then "MORE" for the MODE screen
Highlight PolarC and press "ENTER"
Quit that screen.
A example of converting 5+j6
Enter "(5,6)" in the calculator and press "ENTER"
Should get (7.81024967591*angle*50.1944289077)

Converting polar to rectangular
Press "2ND" and then "MORE" for the MODE screen
Highlight RectC and press "ENTER"
Quit that screen.
A example of converting 5*angle*35
Enter "(5*angle*35)
Should get (4.09576022145,2.86788218176)

Note
*angle* is the symbol when you press "2ND" then ","

Note 2
To round the an decimal places press "2ND" then "MORE" for the MODE screen and on the line that says float, choose a number on that line for the number of decimal places you would like to have.

More can be found at

Dec 02, 2008 | Texas Instruments TI-86 Calculator

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