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CDS 2022 · PYQ · Trigonometry · medium

If y = cos²x + sec²x, where 0 ≤ x < π/2, then which one of the following is correct?

  1. A.0.5 ≤ y < 1
  2. B.1 ≤ y < 2
  3. C.y ≥ 2✓ Correct
  4. D.0 < y < 0.5

Explanation

By AM-GM, cos²x + sec²x ≥ 2√(cos²x·sec²x) = 2. So y ≥ 2.
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