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    Question

    Determine the value of: √3 × {(sin

    45o + cos 45o) × cos 30o} × (1 + tan2 30o)
    A 2√2 Correct Answer Incorrect Answer
    B √3/2 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D 2√3 Correct Answer Incorrect Answer

    Solution

    √3 × {(sin 45o + cos 45o) × cos 30o} × (1 + tan2 30o)
    = √3 × [{(1/√2) + (1/√2)} × (√3/2)] × (sec2 30o)
    = √3 × {√2 × (√3/2)} × (2/√3)2
    = √3 × (√3/√2) × (4/3)
    = √3 × (2√2/√3)
    = 2√2

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