SOLUTION: 2 sin x/2 + square root 3 = 0 solve the multiple angle equation

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Question 1027869: 2 sin x/2 + square root 3 = 0 solve the multiple angle equation
Answer by ikleyn(52884) About Me  (Show Source):
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2 sin x/2 + square root 3 = 0 solve the multiple angle equation
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2%2Asin%28x%2F2%29 + sqrt%283%29 = 0   --->

2%2Asin%28x%2F2%29 = -sqrt%283%29,   ---> 

sin%28x%2F2%29 = -sqrt%283%29%2F2,   ---> 

x%2F2 = %284%2F3%29%2Api+%2B+2k%2Api, k = 0, +/-1, +/-2, . . .  OR  x%2F2 = %287%2F3%29%2Api+%2B+2k%2Api, k = 0, +/-1, +/-2, . . .   --->

x = 2pi%2F3+%2B+%284k%2B2%29%2Api  k = 0, +/-1, +/-2, . . .  OR  x = 2pi%2F3+%2B+%284k%2B3%29%2Api  k = 0, +/-1, +/-2, . . .