WJEC Further Unit 4 2019 June — Question 8

Exam BoardWJEC
ModuleFurther Unit 4 (Further Unit 4)
Year2019
SessionJune
TopicPolar coordinates

8. The curve \(C\) has polar equation $$r = \sin 2 \theta , \quad \text { where } \quad 0 < \theta \leqslant \frac { \pi } { 2 }$$
  1. Find the polar coordinates of the point on \(C\) at which the tangent is parallel to the initial line. Give your answers correct to three decimal places.
  2. Write the coordinates of this point in Cartesian form.