How to convert poler form to rectangular form

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]

See cap image below

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.

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

Conversion of polar form to rectangular:

• Switch to CMPLX mode: [MODE] [2]
• Enter complex number in polar form, e.g. r = 3, θ = 42°: 3 [SHFT] [(-)] 42 [=]
• Switch to rectangular view: [SHFT] [2] [4]

Conversion of rectangular to polar:

• Switch to CMPLX mode: [MODE] [2]
• Enter complex number in rectangular form, e.g. real part = 2, imag part = 3: 2 [+] 5 [ENG] [=]
• Switch to polar view: [SHFT] [2] [3]
  

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.

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.

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.

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

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°