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    Question

    cot 4˚ x cot 47˚ x cot 42.3˚ x cot 43˚ x cot 47.7˚

    x cot 86˚= ?
    A 1 Correct Answer Incorrect Answer
    C -1 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    We know that  If cotA x cotB = 1 then A & B are complementary angles it means A + B = 90˚ Here 4˚ + 86˚  = 90˚ ,  47˚ + 43˚  = 90˚ & 42.3˚  + 47.7˚  = 90˚ So cot 4˚  x cot 86˚  = 1, cot 47˚ x cot 43˚  = 1 & cot 42.3˚  x cot 47.7˚  = 1  Hence cot 4˚ x cot 47˚ x cot 42.3˚ x cot 43˚ x cot 47.7˚ x cot 86˚= 1

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