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Заметим, что
![2sin(x+fracpi6)=1\
left[ begin{array}{l}x+fracpi6=fracpi6+2pi n,;ninmathbb Z\
x+fracpi6=frac{5pi}6+2pi m,;minmathbb Z
end{array}right.
left[ begin{array}{l}
x=2pi n,;ninmathbb Z\
x=frac{2pi}3+2pi m,;minmathbb Z
end{array}right. \
xin[-3pi,3pi]Rightarrow xin{-2pi,0,2pi,-frac{4pi}3,frac{2pi}3,frac{8pi}3}](https://tex.z-dn.net/?f=2sin%28x%2Bfracpi6%29%3D1%5C%0A+left%5B+begin%7Barray%7D%7Bl%7Dx%2Bfracpi6%3Dfracpi6%2B2pi+n%2C%3Bninmathbb+Z%5C%0Ax%2Bfracpi6%3Dfrac%7B5pi%7D6%2B2pi+m%2C%3Bminmathbb+Z%0Aend%7Barray%7Dright.+%0A+left%5B+begin%7Barray%7D%7Bl%7D%0Ax%3D2pi+n%2C%3Bninmathbb+Z%5C%0Ax%3Dfrac%7B2pi%7D3%2B2pi+m%2C%3Bminmathbb+Z%0Aend%7Barray%7Dright.+%5C%0Axin%5B-3pi%2C3pi%5DRightarrow+xin%7B-2pi%2C0%2C2pi%2C-frac%7B4pi%7D3%2Cfrac%7B2pi%7D3%2Cfrac%7B8pi%7D3%7D "2sin(x+fracpi6)=1\
left[ begin{array}{l}x+fracpi6=fracpi6+2pi n,;ninmathbb Z\
x+fracpi6=frac{5pi}6+2pi m,;minmathbb Z
end{array}right.
left[ begin{array}{l}
x=2pi n,;ninmathbb Z\
x=frac{2pi}3+2pi m,;minmathbb Z
end{array}right. \
xin[-3pi,3pi]Rightarrow xin{-2pi,0,2pi,-frac{4pi}3,frac{2pi}3,frac{8pi}3}")
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