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    Question

    If sec 2A = sin2 ┬а60o ┬а+ sec

    60o ┬а- cos2┬а30 o , then find the value of (тИЪ3tan A + cot 2 ┬аA).
    A 4 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 3 Correct Answer Incorrect Answer

    Solution

    sec 2A = sin 2 ┬а60 o ┬а+ sec 60 o ┬а- cos 2 ┬а30 o

    Or, sec 2A = (тИЪ3/2)┬а 2 ┬а+ sec 60 o ┬а- (тИЪ3/2)┬а 2

    Or, sec 2A = sec 60 o

    Or, 2A = 60

    Or, 'A' = 30

    So, required value = тИЪ3 x tan 30 o ┬а+ cot 2 ┬а30 o

    = тИЪ3 x (1/тИЪ3) + (тИЪ3)┬а 2 = 1 + 3 = 4

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