 Help with fsolve and writing to CSV

I am trying to use the fsolve function to solve two equations for two variables (theta1 and theta2). The rest of the variables in the equation are either constants or are given in a CSV file. I have tried the code several ways, but can’t seem to get it right (the most recent code is below). I am struggling with:

1. Where do i read in and update the CSV data? Inside or outside the function?
2. Where to place the fsolve? Again, inside or outside the function?
3. I am having some issues with the array sizes, I’m assuming this has to do with the CSV data being larger than the array of the function, but I’m not sure how to fix that.

I am new to python, and coding in general, so I apologize if I’m using incorrect terminology or my code is totally off base.

I’ve added a sample of the data given in the CSV, for this problem I am only using the ‘x’ and ‘y’ columns. current code below:

import pandas as pd
import numpy as np
from scipy.optimize import fsolve

def Ik(thetas):

x = df['x'].values
y = df['y'].values
L1 = 1
L2 = 1
L3 = 0.5
theta1 = thetas
theta2 = thetas
theta3 = np.pi/3

equations for theta 1 and theta2

thetaEQ = np.array([2,11], dtype=np.float64)

thetaEQ = L3*np.cos(theta1 + theta2 + theta3) + L2*np.cos(theta1 + theta2) + L1*np.cos(theta1) - x
thetaEQ = L3*np.sin(theta1 + theta2 + theta3) + L2*np.sin(theta1 + theta2) + L1*np.sin(theta1) - y

thetas = fsolve(Ik, (0,0))
df.insert(2,"th1",theta1)
df.insert(3,"th2",theta2)
df.insert(4,"th2",theta3)
df.to_csv('ik_questions1.csv')

return thetaEQ