GATE AG 2018 • Q3 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

For 0 ≤ x ≤ 2π, sin x and cos x are both decreasing functions in the interval ________.

Options:

  • (A) (0, π/2)
  • (B) (π/2, π)
  • (C) (π, 3π/2)
  • (D) (3π/2, 2π)

Official Answer Key:

B

Step-by-Step Solution & Explanation

sin x decreases where cos x < 0, i.e. on (π/2, 3π/2). cos x decreases where sin x > 0, i.e. on (0, π). Intersection of (π/2, 3π/2) and (0, π) = (π/2, π).

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