OCR MEI C4 2011 June — Question 4

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2011
SessionJune
TopicParametric equations

4 A curve has parametric equations $$x = 2 \sin \theta , \quad y = \cos 2 \theta$$
  1. Find the exact coordinates and the gradient of the curve at the point with parameter \(\theta = \frac { 1 } { 3 } \pi\).
  2. Find \(y\) in terms of \(x\).