3. A curve has the equation
$$2 \sin 2 x - \tan y = 0$$
- Find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in its simplest form in terms of \(x\) and \(y\).
- Show that the tangent to the curve at the point \(\left( \frac { \pi } { 6 } , \frac { \pi } { 3 } \right)\) has the equation
$$y = \frac { 1 } { 2 } x + \frac { \pi } { 4 } .$$