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    Question

    If (tan 4x · tan x = 1), then find the value of (tan

    5x).
    B 1 Correct Answer Incorrect Answer
    C ∞ Correct Answer Incorrect Answer
    D √3 Correct Answer Incorrect Answer

    Solution

    If tan x tan y = 1, then (x + y) = 90°
    So, 4x + x = 90
    => 5x = 90
    => tan 5x = tan 90 = ∞

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