Find x?

x-(sin(2x))/2=1.1

Using Newton-Raphson method of successive approx., we get:

x ≈ 1.33084574921....(in radians).

x-(sin(2x))/2=1.1

\(x-(sin(2x))/2=1.1\\ x-\frac{ 2\sin(x)\cdot\cos(x)}{2} =1.1 \\ x-\sin(x)\cdot\cos(x) =1.1 \\\)