CAIE P3 2009 June — Question 3

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2009
SessionJune
TopicReciprocal Trig & Identities
3
  1. Prove the identity \(\operatorname { cosec } 2 \theta + \cot 2 \theta \equiv \cot \theta\).
  2. Hence solve the equation \(\operatorname { cosec } 2 \theta + \cot 2 \theta = 2\), for \(0 ^ { \circ } \leqslant \theta \leqslant 360 ^ { \circ }\).
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