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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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