Question says to find both intersections between $f(x) = sin(x)$ and $h(x) = cos(x)$ using Newton-Raphson. The interval is [0,5]. To illustrate, here is a chart:
What I've done was:
$f(x) = sin(x) - cos(x)$
$f'(x) = cos(x) + sin(x)$
Taking $x_0 = 1$ I'm having the Newton-Raphson not converging, while I was expecting it going to 0.8, it's going way above 3.802915 with 2 iterations.
I'm assuming that my function is not right, but I can't see what I'm doing wrong.
Iteration table of my attempt:
| n | Xn | Xn+1 | | 0 | 1 | 1.965689 | | 1 | 1.965689 | 2.899324 | | 2 | 2.899324 | 3.802915 |