Решите систему уравнений
[tex] \left \{ {{sin x + \frac{1}{cos y} =3} \atop { \frac{sin x}{cos y} = 2}} ight. [/tex]

sinx/cosx=2sinx=2cosy,cosy≠0⇒y≠π/22cosy+1/cosy=3cosy=a2a²-3a+1=0D=9-8=1a1=(3-1)/4=1/2⇒cosy=1/2⇒y=+-π/3sinx=1⇒x=π/2