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      Question

      The value of

      (3tan10°-tan³10°)/(1-3tan²10°) is equal to
      A 1/√3 Correct Answer Incorrect Answer
      B √3 Correct Answer Incorrect Answer
      C 1 Correct Answer Incorrect Answer
      D 2/√3 Correct Answer Incorrect Answer

      Solution

      tan3θ = (3tan10°-tan³10°)/(1-3tan²10°) Therefore, (3tan10°-tan³10°)/(1-3tan²10°) = tan3 × 10° → tan30° = 1/√3

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