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    Question

    If sin 2a = (5/9), then find the value of (sin a + cos

    a).
    A тИЪ10 / 2 Correct Answer Incorrect Answer
    B тИЪ14 / 3 Correct Answer Incorrect Answer
    C тИЪ6 / 2 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    sin 2a = (5/9)
    Adding 1 to both sides, we get;
    1 + sin 2a = (14/9)
    We know that (sin┬▓a + cos┬▓a) = 1 and (sin 2P = 2 sinP cosP)
    sin┬▓a + cos┬▓a + 2 sin a cos a = (14/9)
    (sin a + cos a)┬▓ = (14/9)
    (sin a + cos a) = тИЪ14/3

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