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    Question

    If tan 3.5θ x tan 6.5θ = 1 then the value of

    tan 5θ is
    A √3 Correct Answer Incorrect Answer
    B 1 Correct Answer Incorrect Answer
    C ∞ Correct Answer Incorrect Answer
    D 1/√3 Correct Answer Incorrect Answer

    Solution

    We know that ,If tanA ` ` tanB = 1 then A & B are complementary angles it means
    A + B = 90Ëš
    As it is given by tan 3.5θ . tan 6.5θ = 1
    so 3.5θ+6.5θ = 90Ëš
    or 10θ = 90Ëš
    So θ = 9Ëš
    Hence tan 5θ = tan (5 x 9Ëš) = tan 45Ëš = 1

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