Question

Помогите решить систему тригонометрических уравнений.

Answer 1

$left { {{x+y = pi } atop {sinx + siny = 1}} right. \ \ left { {{x = pi - y } atop {sinx + siny = 1}} right. \ \ left { {{x+y = pi } atop {sin( pi - y) + siny = 1}} right. \ \ left { {{x+y = pi } atop {siny + siny = 1}} right. \ \ left { {{x+y = pi } atop { 2siny = 1}} right. \ \ left { {{x+y = pi } atop { siny = frac{1}{2} }} right. \ \ left { {{x+y = pi } atop { y = frac{ pi }{6} }} right.$
$left { {{y= frac{ pi }{6} } atop {x= frac{5 pi }{6} }} right.$

$left { {{x+y= frac{ pi }{2} } atop {sin^2x-sin^2y = 1 }} right. \ \ left { {{y= frac{ pi }{2} -x} atop {sin^2x - sin^2( frac{ pi }{2} -x) = 1}} right. \ \ left { {{y= frac{ pi }{2} -x} atop {sin^2x - cos^2x = 1}} right. \ \ left { {{y= frac{ pi }{2} -x} atop {-cos2x= 1}} right. \ \ left { {{y= frac{ pi }{2} -x} atop {cos2x= -1}} right. \ \ left { {{y= frac{ pi }{2} -x} atop {2x = - pi }} right.$
$left { {{y= frac{ pi }{2} -x} atop {x = - frac{ pi }{2} }} right. \ \ left { {{y= pi } atop {x = - frac{ pi }{2} }} right.$

Answer 2

Спасибо!