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CDS 2025 · PYQ · Trigonometric Equations · easy

What is the value of x, where 0 ≤ x < 30°, satisfying tan 3x tan 6x = 1?

  1. A.
  2. B.10°✓ Correct
  3. C.12°
  4. D.15°

Explanation

tan 3x · tan 6x = 1 means tan 6x = cot 3x = tan(90° − 3x). So 6x = 90° − 3x, giving 9x = 90°, hence x = 10°.
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