- A curve has the equation
$$4 \cos x + 2 \sin y = 3$$
- Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 2 \sin x \sec y\).
- Find an equation for the tangent to the curve at the point \(\left( \frac { \pi } { 3 } , \frac { \pi } { 6 } \right)\), giving your answer in the form \(a x + b y = c\), where \(a\) and \(b\) are integers.