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    Question

    If sec theta - tan theta = 1/2, then sec theta =

    A 5/4 Correct Answer Incorrect Answer
    B 1/7 Correct Answer Incorrect Answer
    C 2/3 Correct Answer Incorrect Answer
    D 3/5 Correct Answer Incorrect Answer

    Solution

    ATQ, We know: (sec theta - tan theta)(sec theta + tan theta) = 1 Given: sec theta - tan theta = 1/2 So, (sec theta + tan theta) = 2 Now add both: (sec theta - tan theta) + (sec theta + tan theta) = 1/2 + 2 2 sec theta = 5/2 sec theta = 5/4

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