CAIE P2 2022 March — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2022
SessionMarch
TopicAddition & Double Angle Formulae
4
  1. Show that \(\sin 2 \theta \cot \theta - \cos 2 \theta \equiv 1\).
  2. Hence find the exact value of \(\sin \frac { 1 } { 6 } \pi \cot \frac { 1 } { 12 } \pi\).
  3. Find the smallest positive value of \(\theta\) (in radians) satisfying the equation $$\sin 2 \theta \cot \theta - 3 \cos 2 \theta = 1 .$$
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