T TsAmE Apr 2010 58 0 May 12, 2010 #1 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

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

Failure Jul 2009 555 298 Zürich May 12, 2010 #2 TsAmE said: 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 Click to expand... 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 \(\displaystyle 2\pi-\frac{\pi}{6}\).

TsAmE said: 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 Click to expand... 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 \(\displaystyle 2\pi-\frac{\pi}{6}\).