7 The parametric equations of a curve are
$$x = 3 \sin 2 \theta , \quad y = 1 + 2 \tan 2 \theta$$
for \(0 \leqslant \theta < \frac { 1 } { 4 } \pi\).
- Find the exact gradient of the curve at the point for which \(\theta = \frac { 1 } { 6 } \pi\).
- Find the value of \(\theta\) at the point where the gradient of the curve is 2 , giving the value correct to 3 significant figures.