CAIE P2 2006 June — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2006
SessionJune
TopicAddition & Double Angle Formulae
2
  1. Prove the identity $$\cos \left( x + 30 ^ { \circ } \right) + \sin \left( x + 60 ^ { \circ } \right) \equiv ( \sqrt { } 3 ) \cos x$$
  2. Hence solve the equation $$\cos \left( x + 30 ^ { \circ } \right) + \sin \left( x + 60 ^ { \circ } \right) = 1$$ for \(0 ^ { \circ } < x < 90 ^ { \circ }\).
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