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    Question

    If x = (sin 30 ° + cos 30 ° )/sec 60 ° , then find

    the value of 4x.
    A (1 + √3) Correct Answer Incorrect Answer
    B (√3 – 1) Correct Answer Incorrect Answer
    C (√3 – 1) Correct Answer Incorrect Answer
    D (2 + √3) Correct Answer Incorrect Answer

    Solution

    =(sin 30 ° + cos 30 ° )/sec 60 ° = {(1/2) + ( √3/2)}/2 = (1 + √3)/4 Required value = (1 + √3)/4 x 4 = 1 + √3  

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