Question

срочно помогите с уравнения
sin(x/3-π/6)-1=0​

Answer 1

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Answer 2

$Sin(\frac{x}{3}-\frac{\pi }{6})-1=0\\\\Sin(\frac{x}{3}-\frac{\pi }{6})=1\\\\\frac{x}{3}-\frac{\pi }{6} =\frac{\pi }{2}+2\pi n,n\in Z\\\\\frac{x}{3}=\frac{\pi }{2}+\frac{\pi }{6}+2\pi n,n\in Z\\\\\frac{x}{3}=\frac{2\pi }{3}+2\pi n,n\in Z\\\\x=2\pi+6\pi n,n\in Z\\\\Otvet:\boxed{x=2\pi+6\pi n,n\in Z}$