Question by Student 201427129 professor i wonder about Q#2 for Q#4-2 to solve Q#4, i must find interactions of Q#2 by secant method. when i try, it give only condition $x_0$ accroding to lecture book, that method have 2 conditions so i guess $x_1$ by orders of convergence to yield the at least itercations(bisection problems are solved in #Q1 with same way$\epsilon_{n+1}=\frac{1}{2}\epsilon_n\;\; \epsilon_k=\frac{\pi}{2^k}\;\; 3.142-\pi=\frac{\pi}{2^k}$ ) but in #Q2 problem is too hard because it's convergence is superliner. ($k ^{p} = \frac{1} {2} *|\frac{sin(\pi)}{cos(\pi)}|=0, \epsilon =0,x_{n+1}=root)$ it means that $x_{n+1}=cost?!?!?$ so confused.. so i can't find proper and the smallest interactions can you give some ways?
You should not determine $k$ or $p$ analytically from the function here. Rather you should find them from the error obtained at each iteration only.
 $\pi$