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WAEC Mathematics 2010 Question 25

Question 25

Trigonometry

Given that tan x = 1, where 0° ≤ x ≤ 90°, evaluate (1 − sin2x)/cos x.

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

Answer: C (√2/2)

Explanation

x = 45°, so 1 − sin2x = cos2x and the expression is cos x = 1/√2 = √2/2.