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CDS 2022 · PYQ · Trigonometry · medium

If cos(x+y) = 0 and sin(x-y) = 1/2, where x, y ∈ [0, π/2], then what is the value of cot(2x-y)?

  1. A.2
  2. B.1/2
  3. C.0✓ Correct
  4. D.1

Explanation

x+y = π/2, x-y = π/6. So x = π/3, y = π/6. 2x-y = 2π/3-π/6 = π/2. cot(π/2) = 0.
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