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    Question

    If sin 2a = (1/2), then find the value of (sin a + cos

    a).
    A √2 Correct Answer Incorrect Answer
    B √6 / 2 Correct Answer Incorrect Answer
    C √5 / 2 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    sin 2a = (1/2)
    Adding 1 to both sides, we get;
    1 + sin 2a = (3/2)
    We know that (sin²a + cos²a) = 1 and (sin 2P = 2 sinP cosP)
    sin²a + cos²a + 2 sin a cos a = (3/2)
    (sin a + cos a)² = (3/2)
    (sin a + cos a) = √6/2

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