Question about 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

Posted on May 22, 2011

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Posted on Jan 02, 2017

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

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

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).

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

Use the >Rec and >Pol commands. They're in the Complex number menu, accessible through 2nd [CPLX] MORE.

[CPLX] is the shifted function of the 9 key.

[CPLX] is the shifted function of the 9 key.

Dec 10, 2010 | Texas Instruments TI-86 Calculator

You can perform coordinate conversions in the COMP, STAT, MATRIX and VECTOR Modes.

Angle unit may be in either degree or radian.

To convert from rectangular to polar, (SQRT(2)/2,SQRT(2)/2)

Press [SHIFT] [+] (Pol)

Screen displays Pol(

Type in SQRT2

Use right arrow to move cursor out of radical

Type in /2 [SHIFT] [,]

Type in SQRT2

Use right arrow to move cursor out of radical

Type in /2

Close the right parenthesis

Screen displays Pol (SQRT2 /2, SQRT2 / 2)

Press [=]. Display echoes the command on top line and result in bottom line as r=1, theta =45, (if unit is in degree) or theta = 0.7853981634 if unit is radian.

To convert from polar to rectangular coordinates

Note: You cannot use the answer memory to convert back to rectangular because the calculator will use the r-value only. So you will have to enter the radius AND the angle.

ex: Rec(1,45)

Angle must be in degree

Press [SHIFT][-] (Rec)

Screen display Rec(

Type in 1 [SHIFT] (,) 45 [)] [=]

Calculator displays X=0.7071067812, Y=0.7071067812

If you press the SD key hoping to convert the decimals to radicals, the calculator will not do it.

As to the "confusion", I have found none.

After you finish entering the argument of a square root, use the right arrow to move cursor out of under the root symbol to signify that the argument is complete. If you use a left parenthesis inside the root, you must insert the matching right parenthesis inside the root, then move cursor outside the root.

This is how the calculator behaves, and I am not expressing an opinion on how simple or complicated that is. I assume that to make full use of the calculator capabilities, one has to converse with it, using the syntax it understands.

Angle unit may be in either degree or radian.

To convert from rectangular to polar, (SQRT(2)/2,SQRT(2)/2)

Press [SHIFT] [+] (Pol)

Screen displays Pol(

Type in SQRT2

Use right arrow to move cursor out of radical

Type in /2 [SHIFT] [,]

Type in SQRT2

Use right arrow to move cursor out of radical

Type in /2

Close the right parenthesis

Screen displays Pol (SQRT2 /2, SQRT2 / 2)

Press [=]. Display echoes the command on top line and result in bottom line as r=1, theta =45, (if unit is in degree) or theta = 0.7853981634 if unit is radian.

To convert from polar to rectangular coordinates

Note: You cannot use the answer memory to convert back to rectangular because the calculator will use the r-value only. So you will have to enter the radius AND the angle.

ex: Rec(1,45)

Angle must be in degree

Press [SHIFT][-] (Rec)

Screen display Rec(

Type in 1 [SHIFT] (,) 45 [)] [=]

Calculator displays X=0.7071067812, Y=0.7071067812

If you press the SD key hoping to convert the decimals to radicals, the calculator will not do it.

As to the "confusion", I have found none.

After you finish entering the argument of a square root, use the right arrow to move cursor out of under the root symbol to signify that the argument is complete. If you use a left parenthesis inside the root, you must insert the matching right parenthesis inside the root, then move cursor outside the root.

This is how the calculator behaves, and I am not expressing an opinion on how simple or complicated that is. I assume that to make full use of the calculator capabilities, one has to converse with it, using the syntax it understands.

Mar 31, 2010 | 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

Hello,

Here are exemples from the manual.

Here are exemples from the manual.

May 03, 2009 | Casio FX-300MS Calculator

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.

Now ready to go.

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.

Now ready to go.

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

http://docs.google.com/gview?a=v&q=cache:nAC57BtC6IIJ:myweb.wit.edu/khabaria/ELEC195_files/ti86cplx.pdf+ti-86+convert+to+polar&hl=en&gl=us

Converting rectangular to polar

Press "2ND" and then "MORE" for the MODE screen

Highlight PolarC and press "ENTER"

Quit that screen.

Now ready to go.

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.

Now ready to go.

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

http://docs.google.com/gview?a=v&q=cache:nAC57BtC6IIJ:myweb.wit.edu/khabaria/ELEC195_files/ti86cplx.pdf+ti-86+convert+to+polar&hl=en&gl=us

Dec 02, 2008 | Texas Instruments TI-86 Calculator

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