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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 = 90˚
      As it is given by tan 3.5θ . tan 6.5θ = 1
      so 3.5θ+6.5θ = 90˚
      or 10θ = 90˚
      So θ = 9˚
      Hence tan 5θ = tan (5 x 9˚) = tan 45˚ = 1

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