WJEC Unit 3 2024 June — Question 11

Exam BoardWJEC
ModuleUnit 3 (Unit 3)
Year2024
SessionJune
TopicParametric equations

11. A curve is defined parametrically by $$x = 2 \theta + \sin 2 \theta , \quad y = 1 + \cos 2 \theta$$
  1. Show that the gradient of the curve at the point with parameter \(\theta\) is \(- \tan \theta\).
  2. Find the equation of the tangent to the curve at the point where \(\theta = \frac { \pi } { 4 }\).