Originally Posted by

**Mathstud28** Do as many methods as you need to to get this

We are trying to find the intersection or in other words the zeros of the difference of the two equations?

So we have

We have out equal to zero...therefore our function is

NR gives the itteration:

Then five iterations give:

Code:

>x0=0
0
>x1=x0-(exp(x0)-2*cos(x0))/(exp(x0)+2*sin(x0))
1
>x1=x1-(exp(x1)-2*cos(x1))/(exp(x1)+2*sin(x1))
0.627904
>x1=x1-(exp(x1)-2*cos(x1))/(exp(x1)+2*sin(x1))
0.544207
>x1=x1-(exp(x1)-2*cos(x1))/(exp(x1)+2*sin(x1))
0.539797
>x1=x1-(exp(x1)-2*cos(x1))/(exp(x1)+2*sin(x1))
0.539785

So after 2 iterations you have a relativly poor approximation, you realy need more iterations

RonL