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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Originally Posted by TsAmE 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 $\displaystyle \pi+\frac{\pi}{6}$; and 5.7596 is an approximation for $\displaystyle 2\pi-\frac{\pi}{6}$.

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