Given $x_3=8$ in$,r_2=1\mathrm{.}7in,rn-8$ in$,$e$-1$ in$,$ find ${}_2$ with Newton Raphson method. You can start from for initial value ${}_2=5\frac{}{18}$ and two interations are required. The formular you should use include:

$f(x_n)=\frac{f(x_n)}{x_n-x_{n+1}},f(x)=r_{2}cosx+\sqrt[\phantom{2}]{r_3^2-(e+r_{2}sinx{)}^2}-x_g$

$f(x)=-r_{2}sinx-\frac{(e+r_{2}sinx)r_{2}cosx}{\sqrt[\phantom{2}]{r_3^2-(e+r_{2}sinx{)}^2}},$