Question

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

Answer 1

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

Answer 2

Огромное спасибо