11.
The curve \(C\) has parametric equations
$$x = \sin 2 \theta \quad y = \operatorname { cosec } ^ { 3 } \theta \quad 0 < \theta < \frac { \pi } { 2 }$$
- Find an expression for \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(\theta\)
- Hence find the exact value of the gradient of the tangent to \(C\) at the point where \(y = 8\)
[0pt]
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