How to convert rectangular to polar coordinates. and vise versa

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Let use an example to convert from polar to rectangular. There may be other ways to do it on this particular calculator, but this should work on all calculators.

Let's use 20 degrees and 5 units for our polar.

Sin 20 degrees = y/5, cross multiplying we get y = 5 sin 20 degrees.

Similarly, Cos 20 degrees = x/5. Cross multiplying we get x = 5 cos 20 degrees.

Thus, I get (1.71, 4.70) as the rectangular coordinates of the point.

Good luck.

Paul

Let's use 20 degrees and 5 units for our polar.

Sin 20 degrees = y/5, cross multiplying we get y = 5 sin 20 degrees.

Similarly, Cos 20 degrees = x/5. Cross multiplying we get x = 5 cos 20 degrees.

Thus, I get (1.71, 4.70) as the rectangular coordinates of the point.

Good luck.

Paul

Nov 06, 2015 | Canon F-603 Calculator

To convert a complex number (not an equation) from rectangular coordinates to polar coordinates you do as follows

2+3[OPTN][ F3 (CLPX)][F1(i)][F6 >][F3> r ,theta][EXE]

2+3[OPTN][ F3 (CLPX)][F1(i)][F6 >][F3> r ,theta][EXE]

Nov 08, 2014 | Casio CFX-9850G Plus Calculator

You cannot add rectangular coordinates to polar coordinates. You can **only add rectangular coordinates to other rectangular coordinates.** For polar coordinates you must use some specific trigonometric formulas.

Sep 23, 2014 | Casio Office Equipment & Supplies

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.

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

Oct 15, 2013 | Office Equipment & Supplies

The Pol function converts coordinates from rectangular to polar. Pol(x,y) converts the rectangular coordinates (x,y) to polar coordinates (r, theta).

For examples and instructions, see page E-37 of the manual and example #036 in the Appendix.

For examples and instructions, see page E-37 of the manual and example #036 in the Appendix.

Dec 07, 2012 | Casio FX-115ES Scientific Calculator

To convert from Polar to Rectangular

PRESS [SHIFT and -Rec] then enter the coordinate and angle

e.g. [SHIFT and -Recl]

Rec(15,0)=

r=15

0=0

Jun 18, 2011 | Casio FX-115ES Scientific Calculator

Examples #036 and #037 in the Appendix illustrate how to convert between polar and rectangular coordinates. If you need the appendix and/or the manual, you can download them from

http://support.casio.com/manualfile.php?rgn=1&cid=004001004

http://support.casio.com/manualfile.php?rgn=1&cid=004001004

May 22, 2011 | Casio FX-115ES Scientific Calculator

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**

Rec ( radius, angle) =

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

[SHIFT][+] (Pol) . Screen displays

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

θ= 45

Rec ( radius, angle) =

Exemple: Recatngular coordinates of (r=3, θ=60°)

The screen displays

X= 1.5

Y= 2.598076211

Jan 19, 2010 | Casio FX-115ES Scientific Calculator

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**

Rec ( radius, angle) =

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.

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.

[SHIFT][+] (Pol) . Screen displays

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

θ= 45

Rec ( radius, angle) =

Exemple: Recatngular coordinates of (r=3, θ=60°)

The screen displays

X= 1.5

Y= 2.598076211

Hope it helps.

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

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. ** **

If angle is in radians, [SHIFT] [MODE][4:Rad] the command

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

Hope it helps

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

Key in the radius r , ex: 3 screen displays

Screen displays

Y=2.524532346

If angle is in radians, [SHIFT] [MODE][4:Rad] the command

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

Hope it helps

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

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when ever im doing polar and rectangular coordinates why is it that the degrees is so different from when I see it plugged in on internet examples.Its very frustrating because I feel im being mislead by my calculator.

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