5. A set of curves is given by the equation \(\sin x + \cos y = 0.5\).
- Use implicit differentiation to find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
For \(- \pi < x < \pi\) and \(- \pi < y < \pi\),
- find the coordinates of the points where \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 0\).