Please type your answer and do not copy other chegg solutions. Also program in python where appropriate.

8. Program the secant method xk+1=xkf(xk)f(xk1)f(xk)(xkxk1). Consider f(x)= arctan(x) which has a unique zero z=0. Choose all the tolerances to be 1010. Starting with (x0,x1)=(0.5,1),(1,1.3),(1.4,1.5),(10,11), iterate until one of the tolerances is satisfied or 20 iterations are completed. Output the numerical solution at each iteration step