Question

Решите систему уравнений sinx•cosx+cosy=1 sinx•cosx-cosy=0

Answer 1

$\left \{ {{sinx*cosx+cosy=1} \atop {sinx*cosx-cosy=0}} \right. \\ \left \{ {{2sinx*cosx=1} \atop {sinx*cosx-cosy=0}} \right. \\ \left \{ {{sinxcosx=0.5} \atop {sinx*cosx-cosy=0}} \right. \\ \left \{ {{sinxcosx=0.5} \atop {0.5-cosy=0}} \right. \\ \left \{ {{sinxcosx=0.5} \atop {cosy=0.5}} \right.\\ \left \{ {{sin2x=1} \atop {cosy=0.5}} \right. \\ \left \{ {{2x= \frac{ \pi }{2}+2 \pi n } \atop {y=\pm \frac{\pi}{3}+2\pi n}} \right.$
$\\ \left \{ {{x= \frac{ \pi }{4}+ \pi n } \atop {y=\pm \frac{\pi}{3}+2\pi n}} \right.$