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Math Help - sin(3x) = -1/2

  1. #1
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    sin(3x) = -1/2

    Why does sin(3x) = -1/2 equal:

    3x = 3.6652 + 2(pi)n nEZ
    3x = 5.7596 + 2(pi)n nEZ

    and not 3x = pi + pi / 6 + 2(pi)n nEZ
    3x = 2pi - pi / 6 + 2(pi)n nEZ
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  2. #2
    Super Member Failure's Avatar
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    Quote Originally Posted by TsAmE View Post
    Why does sin(3x) = -1/2 equal:

    3x = 3.6652 + 2(pi)n nEZ
    3x = 5.7596 + 2(pi)n nEZ

    and not 3x = pi + pi / 6 + 2(pi)n nEZ
    3x = 2pi - pi / 6 + 2(pi)n nEZ
    There is essentially no difference between these two ways of representing the possible values of 3x.

    3.6652 is just an approximation for \pi+\frac{\pi}{6}; and 5.7596 is an approximation for 2\pi-\frac{\pi}{6}.
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