Edexcel Paper 2 2021 October — Question 13

Exam BoardEdexcel
ModulePaper 2 (Paper 2)
Year2021
SessionOctober
TopicParametric equations

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