Question about Casio FX991ES Scientific Calculator

# Polar rectangular how to convert 40 sin4000T into polar form??

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• Casio Master

There is nothing to convert, because if T is a real number so is 40sin(4000T).
40sin(4000T)=40abs(sin(4000T))*sign(sin(4000T))
where abs() is the absolute value of it argument, and sign(sin(4000T)) is positive or negative.
So in (radius, angle) polar coordinates
r= 40 abs(sin(4000T)),
theta =(0, or PI), depending on sign(sin(4000T))

If you are trying to graph parametric functions, this calculator does not do graphs, and you need another function of T

Posted on Dec 27, 2013

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Posted on Jan 02, 2017

Hello,

Here are exemples from the manual.

Posted on Sep 25, 2009

Hello,
The e is the same, it is the exponential. According to Euler's relation
e^(i theta) = cos(theta) + i sin(theta), where i is the imaginary unit.
When represented on the complex plane (x,iy) the point (cos(theta), sin(theta)) is at the extremity of a vector of length 1 and making an angle theta with the real axis.

In (plane) polar coordinates, a point is defined by the radius r, and the angle, theta, it makes with the x axis, measured in the trigonometric (counterclockwise) direction. It is structurally equaivalent to representing it in the complex plane as r*e^(i*theta). Since r is the measure ot is radius, and the theta is it argument (angle). The complex notation is used for its convenience when adding vectors (as is AC circuits)
That is the theory.
I am inserting a clipping from the book to show you how to convert between polar and rectangular coordinates.

Posted on Oct 16, 2009

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

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

Testimonial: "thanx that was very helpful"

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

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## Related Questions:

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### 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.

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### 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

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### 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)
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### Conversion of polar to rectangular form and vice versa

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• Switch to CMPLX mode: [MODE] [2]
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### Converting between Forms When working with phasors it is often necessary to convert between rectangular and polar form. To convert from rectangular form to polar form: M = sqrt{A^2 + B^2} f =...

You can switch the display mode for complex numbers by pressing SHIFT MODE down 3 and picking one. This will display the current result in the selected mode.

You can also override the current display mode and specify the format. Add these keystrokes at the end of a calculation: SHIFT 2 then 3 for polar or 4 for rectangular.

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### 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

### Hello - i have a casiofx250 calculator and i urgently need to convert from rectanular to polar - how do i do this ? raj

This is an example, plug in your problem.
Convert 12 - 42j to polar form (r ∠ q).
For CASIO calculator...
Keystrokes Display 12 12 12 42 42 -42 43.68065934 (= r) -74.0546041 (= θ) Therefore,
Complex number in rectangular form: 12 - 42j Same complex number in polar form: 43.7 ∠ -74°

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