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GCE Mathematics 1989 Question 16

Question 16

Trigonometry

Using the graph above, if 0° < x < 60°, what is the value of x for which sin x = cos x?

Diagram for this question
  1. A.0°
  2. B.20°
  3. C.30°
  4. D.45°
  5. E.50°
Show the answer and explanation

Answer: D (45°)

Explanation

sin x = cos x where the two curves cross; in this range that is at x = 45° (tan 45° = 1).