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    Question

    If secx – tanx = 1/√3, then the value of secx × tanx

    is:
    A 2/3 Correct Answer Incorrect Answer
    B 4/3 Correct Answer Incorrect Answer
    C 4/√3 Correct Answer Incorrect Answer
    D 2/√3 Correct Answer Incorrect Answer

    Solution

    Since, secx – tanx = 1/√3………………(1)
    And, sec 2 x – tan 2 x = 1
    (secx + tanx)(secx – tanx) = 1
    So, secx + tanx = √3………………….(2)
    From equation (1) and (2), we get
    2secx = 1/√3 + √3 = 4/√3
    secx = 2/√3
    And, tanx = 2/√3 – 1/√3 = 1/√3
    secx × tanx = 2/3

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