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    Question

    If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then

    determine the value of (√3tan P + cot² P)
    A 3 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    ATQ,

    sec 2P = sin² 60⁰ + sec 60⁰- cos² 30⁰

    Or, sec 2P = (√3/2)² + sec 60⁰- (√3/2)²

    Or, sec 2P = sec 60⁰

    Or, 2P = 60

    Or, 'P' = 30

    So, required value = √3 X tan 30⁰ + cot² 30⁰

    = √3 X (1/√3) + (√3)²

    = 1 + 3 = 4

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