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JAMB Mathematics 2009 Question 34

Question 34

Trigonometry

Find the value of sin 45° − cos 30°.

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

Answer: D ((√2 − √3)/2)

Explanation

sin 45° = √2/2 and cos 30° = √3/2, so the difference is (√2 − √3)/2.