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From the positive root, the solution pi/3 and its complementary solution pi-pi/3 = 2pi/3 follow.cscott said:Wait! Let me just check my understanding: the solution to the equation I posted can be either the one including pi/3 or the one inlcluding 4pi/3 and each solution has to encorporate the negative and positive sqrt(3)/2?

I say this because pi/3 + pi gives -sqrt(3)/2 but I got the pi/3 in the first place using sin x = +sqrt(3)/2

Is this correct? It doesn't seem like it...

From the negative root, the solution -pi/3 (or 5pi/3) and its complementary solution 4pi/3 follow.

You see?