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
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.
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
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"
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
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