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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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