5.
The curve \(C\) has equation
$$y = \frac { 3 + \sin 2 x } { 2 + \cos 2 x }$$
- Show that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 6 \sin 2 x + 4 \cos 2 x + 2 } { ( 2 + \cos 2 x ) ^ { 2 } }$$
- Find an equation of the tangent to \(C\) at the point on \(C\) where \(x = \frac { \pi } { 2 }\).
Write your answer in the form \(y = a x + b\), where \(a\) and \(b\) are exact constants.
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