9.
$$f ( x ) = 2 \sin 2 x + x - 2 .$$
The root \(\alpha\) of the equation \(\mathrm { f } ( x ) = 0\) lies in the interval \([ 2 , \pi ]\).
Using the end points of this interval find, by linear interpolation, an approximation to \(\alpha\).
[0pt]
[*P4 January 2003 Qn 4]