- A curve has parametric equations
$$x = 7 \cos t - \cos 7 t , y = 7 \sin t - \sin 7 t , \quad \frac { \pi } { 8 } < t < \frac { \pi } { 3 }$$
- Find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\). You need not simplify your answer.
- Find an equation of the normal to the curve at the point where \(t = \frac { \pi } { 6 }\).
Give your answer in its simplest exact form.