Запиши серии точек, являющихся решениями уравнений

1. \(\sin x=\dfrac{\sqrt{2}}{2}\) ;

2. \(\sin x=\dfrac{1}{2}\) ;

3. \(\sin x=-\dfrac{1}{2}\) ;

4. \(\sin x=-\dfrac{\sqrt{3}}{2}\) ;

5. \(\sin x=-\dfrac{\sqrt{2}}{2}\) .

Ответ:

1. \(x\_1=\) [ ] \(+\) [ ], \(x\_2=\) [ ] \(+\) [ ], \(k\in \Z\) ;

2. \(x\_1=\) [ ] \(+\) [ ], \(x\_2=\) [ ] \(+\) [ ], \(k\in \Z\) ;

3. \(x\_1=\) [ ] \(+\) [ ], \(x\_2=\) [ ] \(+\) [ ], \(k\in Z\) ;

4. \(x\_1=\) [ ] \(+\) [ ], \(x\_2=\) [ ] \(+\) [ ], \(k\in Z\) ;

5. \(x\_1=\) [ ] \(+\) [ ], \(x\_2=\) [ ] \(+\) [ ], \(k\in Z\) .