non polynomial system and/or complex solver with variables in function of other vari

[Hailsing191]

Hello, i'm trying to solve a system with 2 variables ("T and U") and 3 inputs ("W" "Y" and "Z") (i would like that T and U to be a function of W Y and Z).

The main equations would be [T*cos(u)=Y*cos(Z)-W , T*sin(U)=Y*sin(Z)], i tried to put as follow:

https://imgur.com/gallery/bPD4JZl

i also tried it in the complex form but it showed the first image error too

any ideas how i could do it?

edit: I'm using hp50g with RPN

[rprosperi]

What machine type are you using? It's hard to give advice without some important details like machine, key settings (RPN vs ALG), etc.

[Hailsing191]

(11-02-2022 02:07 AM)rprosperi Wrote:  What machine type are you using? It's hard to give advice without some important details like machine, key settings (RPN vs ALG), etc.

sorry, i'm using HP50g with RPN, edited the main post

[Namir]

Code:

T*sin(U) / T*cos(U) = Y*sin(Z) /(Y*cos(Z)-W)

tan(U) = sin(Z) / (cos(Z)-W/Y)

tan(U)*(cos(Z)-W/Y) = sin(Z)

tan(U)*cos(Z) - tan(U)*W/Y = sin(Z)

W/Y = [tan(U)*cos(Z) + sin(Z)]/tan(U)

Y = W * tan(U)/[tan(U)*cos(Z) + sin(Z)]

T = {W * tan(U)/[tan(U)*cos(Z) + sin(Z)]} * cos(Z) - W