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Nitin Bansal Posted on Dec 26, 2013
Answered by a Fixya Expert

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

1 Answer

k24674

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  • Casio Master 8,093 Answers
  • Posted on Dec 27, 2013
k24674
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Joined: Aug 17, 2009
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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

5 Related Answers

k24674

  • 8093 Answers
  • Posted on Sep 25, 2009

SOURCE: canverying polar to rectangular

Hello,

Here are exemples from the manual.

e87b265.jpg
8d77251.jpg

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k24674

  • 8093 Answers
  • Posted on Oct 16, 2009

SOURCE: can't transform from polar to rectangular

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.

d2af7da.jpg

k24674

  • 8093 Answers
  • Posted on Oct 18, 2009

SOURCE: 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.

If angle is in radians, [SHIFT] [MODE][4:Rad] the command
Rec(3, Pi) gives X=-3, Y=0
Hope it helps

k24674

  • 8093 Answers
  • Posted on Nov 15, 2009

SOURCE: 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

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.

Testimonial: "thanx that was very helpful"

k24674

  • 8093 Answers
  • Posted on Nov 16, 2010

SOURCE: i am a casio fx-82MS user. i would like to know

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

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
k24674_1.jpg

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