Пожалйуста помогите !!!!! Система cos(x-y)=0 sin(x+y)=1

[latex] \left \{ {{x-y= \frac{ \pi }{2} + \pi k} \atop {x+y= \frac{ \pi }{2}+ 2 \pi n}} \right. [/latex] [latex] \left \{ {{x=y+ \frac{ \pi }{2} + \pi k} \atop {x+y= \frac{ \pi }{2}+ 2 \pi n}} \right. [/latex] [latex] \left \{ {{x=y+ \frac{ \pi }{2} + \pi k} \atop {y+ \frac{ \pi }{2} + \pi k+y= \frac{ \pi }{2}+ 2 \pi n}} \right. [/latex] [latex] \left \{ {{x=y+ \frac{ \pi }{2} + \pi k} \atop {2y= 2 \pi n - \pi k}} \right. [/latex] [latex] \left \{ {{x=y+ \frac{ \pi }{2} + \pi k} \atop {y= \pi n - \frac{ \pi k}{2}}} \right. [/latex] [latex] \left \{ {{x=\pi n - \frac{ \pi k}{2}}+ \frac{ \pi }{2} + \pi k} \atop {y= \pi n - \frac{ \pi k}{2}}} \right. [/latex] [latex] \left \{ {{x=\frac{ \pi }{2} +\pi n + \frac{ \pi k}{2}}} \atop {y= \pi n - \frac{ \pi k}{2}}} \right. [/latex] Ясно, что n и k ∈ Z