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    Question

    If (tan 8θ · tan 2θ = 1), then find the value of (tan

    10θ).
    A ∞ Correct Answer Incorrect Answer
    B 1 Correct Answer Incorrect Answer
    D -√3 Correct Answer Incorrect Answer

    Solution

    If tan x tan y = 1, then (x + y) = 90°
    So, 8θ + 2θ = 90
    => 10θ = 90
    => tan 10θ = tan 90 = ∞

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