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    • Question

      tan 4˚ × tan 43˚ × tan 47˚ × tan 86˚ =

      ?
      A 1 Correct Answer Incorrect Answer
      C -1 Correct Answer Incorrect Answer
      D 2 Correct Answer Incorrect Answer

      Solution

      We know that  If tanA × tanB = 1 then A & B are complementary angles it means A +  B = 90˚ Here 4˚ + 86˚  = 90˚   & 43˚  + 47˚  = 90˚ So tan 4˚  × tan 86˚  = 1 & tan 43˚  × tan 47˚  = 1  Hence tan 4˚  × tan 43˚  × tan 47˚  × tan 86˚  = 1

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