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WAEC Mathematics 2003 Question 44

Question 44

Trigonometry

Evaluate Cos 45° Cos 30° − Sin 45° Sin 30° leaving the answer in surd form

  1. A.(√2 − 1)/2
  2. B.(√3 − √2)/4
  3. C.(√6 − √2)/2
  4. D.(√6 − √2)/4
Show the answer and explanation

Answer: D ((√6 − √2)/4)

Explanation

(√2/2)(√3/2) − (√2/2)(1/2) = (√6 − √2)/4.