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CDS 2024 · PYQ · Trigonometric Equations · easy

If tan(3A) = cot(A - 22°), where 3A is an acute angle, then what is the value of A?

  1. A.25°
  2. B.27°
  3. C.28°✓ Correct
  4. D.30°

Explanation

tan(3A) = cot(A - 22°) = tan(90° - (A - 22°)) = tan(112° - A). So 3A = 112° - A, giving 4A = 112°, A = 28°.
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