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CAPE Pure Mathematics Unit 1 · May/June 2012 · Paper 1 · Question Q21

\sin(\alpha + 45^\circ) is equal to

  1. (A)\frac{1}{\sqrt{2}}(\sin\alpha + \cos\alpha)
  2. (B)\frac{1}{\sqrt{2}}(\cos\alpha - \sin\alpha)
  3. (C)\frac{1}{2}(\sin\alpha - \cos\alpha)
  4. (D)\frac{1}{2}(\cos\alpha + \sin\alpha)

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