Question

$$\left. \begin{array} { l } { x + y = 1 } \\ { \sin 2 x } \\ { \cos x \sin x } \end{array} \right.$$

Solve for x, y, z

$x=\frac{\arcsin(2a)+2\pi n_{1}}{2}\text{, }n_{1}\in \mathrm{Z}\text{, }y=\frac{-\arcsin(2a)+2\pi n_{3}+2}{2}\text{, }n_{3}\in \mathrm{Z}\text{, }z=2a$
$x=\frac{-\arcsin(2a)+2\pi n_{2}+\pi }{2}\text{, }n_{2}\in \mathrm{Z}\text{, }y=\frac{\arcsin(2a)+2\pi n_{4}+2-\pi }{2}\text{, }n_{4}\in \mathrm{Z}\text{, }z=2a$