3. The curve \(C\) has equation \(x = 8 y \tan 2 y\)
The point \(P\) has coordinates \(\left( \pi , \frac { \pi } { 8 } \right)\)
- Verify that \(P\) lies on \(C\).
- Find the equation of the tangent to \(C\) at \(P\) in the form \(a y = x + b\), where the constants \(a\) and \(b\) are to be found in terms of \(\pi\).