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    Question

    If sec θ + tan θ = x, what is the value of sec θ in

    terms of x?
    A (x² + 1)/(2x) Correct Answer Incorrect Answer
    B (x² - 1)/(2x) Correct Answer Incorrect Answer
    C 2x/(x² + 1) Correct Answer Incorrect Answer
    D 2x/(x² - 1) Correct Answer Incorrect Answer

    Solution

    From sec θ + tan θ = x Using sec² θ - tan² θ = 1, we get: sec θ - tan θ = 1/x adding both the above equations 2sec θ = x + 1/x sec θ = (x² + 1)/(2x)

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