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Math Help - Equation

  1. #1
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    Smile Equation

    2sin3X = 2^1/2

    for 0 ≤ x < 360

    I narrowed down to 3X = 45 --> x = 15 and 3X = 135 --> x = 45; but my instructor says I am still missing 4.
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  2. #2
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    Quote Originally Posted by windia View Post
    2sin3X = 2^1/2

    for 0 ≤ x < 360

    I narrowed down to 3X = 45 --> x = 15 and 3X = 135 --> x = 45; but my instructor says I am still missing 4.
    sine is periodic. Therefore (working in degrees) 3x = 45 + 360n or 3x = 135 + 360n where n is an integer. Solve for x and then use all values of n that give solutions within the given domain.
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