CAIE P1 2014 June — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2014
SessionJune
TopicReciprocal Trig & Identities

3 The reflex angle \(\theta\) is such that \(\cos \theta = k\), where \(0 < k < 1\).
  1. Find an expression, in terms of \(k\), for
    (a) \(\sin \theta\),
    (b) \(\tan \theta\).
  2. Explain why \(\sin 2 \theta\) is negative for \(0 < k < 1\).