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1 markPaper 1 · Multiple choiceTrigonometric Functions, Identities and Equations

CAPE Pure Mathematics Unit 1 · 2008 (Rest of Region) · Paper 1 · Question Q24

If 2\cos\theta + 9\sin\theta = r\cos(\theta - \alpha), where r > 0 and 0 < \alpha < \frac{\pi}{2}, then the maximum value of the expression is

  1. (A)\sqrt{11}
  2. (B)\sqrt{85}
  3. (C)11
  4. (D)85

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