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Question Number 149447 by liberty last updated on 05/Aug/21
 Solve the following system     { ((sin 2x+cos 3y=−1)),(((√(sin^2 x+sin^2 y)) +(√(cos^2 x+cos^2 y)) =1+sin (x+y))) :}
$$\:\mathrm{Solve}\:\mathrm{the}\:\mathrm{following}\:\mathrm{system}\: \\ $$$$\:\begin{cases}{\mathrm{sin}\:\mathrm{2x}+\mathrm{cos}\:\mathrm{3y}=−\mathrm{1}}\\{\sqrt{\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}+\mathrm{sin}\:^{\mathrm{2}} \mathrm{y}}\:+\sqrt{\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{cos}\:^{\mathrm{2}} \mathrm{y}}\:=\mathrm{1}+\mathrm{sin}\:\left(\mathrm{x}+\mathrm{y}\right)}\end{cases} \\ $$$$ \\ $$

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