OCR C3 Specimen — Question 2

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
SessionSpecimen
TopicAddition & Double Angle Formulae

2
  1. Prove the identity $$\sin \left( x + 30 ^ { \circ } \right) + ( \sqrt { } 3 ) \cos \left( x + 30 ^ { \circ } \right) \equiv 2 \cos x$$ where \(x\) is measured in degrees.
  2. Hence express \(\cos 15 ^ { \circ }\) in surd form.