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    3. Quantitative Aptitude
    4. Trigonometry
    5. The value of (3tan10°-tan³10°)/(1-3tan²10°) is equal to

    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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    Relevant for Exams:

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