3sinx+5cosx=корень 17

[latex] \sqrt{3^2+5^2}sin(x + \phi)=\sqrt{17},\ tg\ \phi = \frac{5}{3} \\ \sqrt{34}sin(x + \phi)=\sqrt{17}, \\ sin(x + \phi)=\dfrac{\sqrt{17}}{\sqrt{34}}, \\ sin(x + \phi)=\frac{\sqrt{2}}{2}, \\ x + \phi= (-1)^{n} \frac{ \pi }{4} + \pi n,\ n \in Z\\ x = (-1)^{n} \frac{ \pi }{4} - arctg \frac{5}{3} + \pi n,\ n \in Z\\ [/latex]