Question

ПОМОГИТЕ ПОЖАЛУЙСТА.
ЗАРАНЕЕ СПАСИБО

Answer 1

$\left \{ {{x+y= \frac{ \pi }{2} } \atop {sinx+siny=- \sqrt{2} }} \right. \\ \\ \left \{ {{y= \frac{ \pi }{2}-x } \atop {sinx+sin(\frac{\pi }{2}-x)=- \sqrt{2}}} \right. \\ \\ sinx+sin(\frac{\pi }{2}-x)=- \sqrt{2} \\ 2sin \frac{ \pi }{4} cos(x- \frac{ \pi }{4} )=- \sqrt{2} \\ cos(x- \frac{ \pi }{4} )=-1 \\ x- \frac{ \pi }{4} = \pi + 2\pi n,nEZ\\ x= \frac{ 5\pi }{4} + 2\pi n,nEZ \\ \\ \left \{ {x= \frac{ 5\pi }{4} + 2\pi n,nEZ} \atop {y= \frac{ \pi }{2}-x}} \right.$
$\left \{ {x= \frac{ 5\pi }{4} + 2\pi n,nEZ} \atop {y= -\frac{ 3\pi }{4}+ 2\pi n,nEZ}} \right.$