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solve for x in the interval [0,2pi] sin3x=1/2
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3x=pi/6,5pi/6,13pi/6,17pi/6 and so on.... Just see where sin x becomes half and take one third of the value.
You could also solve it by a graph sin 3x would be sin x shrunk horizontal 3 times. |dw:1326079229716:dw| Wherever y=1/2 line meets the curve is a solution.
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