\(2\sin x + \sqrt 2 = 0\);
A.\(\left[ \begin{array}{l}x = - \frac{\pi }{4} + k2\pi \\x = \frac{{5\pi }}{4} + k2\pi \end{array} \right.\,\,\left( {k \in Z} \right)\)
B.\(\left[ \begin{array}{l}x = \frac{\pi }{4} + k2\pi \\x = - \frac{{5\pi }}{4} + k2\pi \end{array} \right.\,\,\left( {k \in Z} \right)\)
C.\(\left[ \begin{array}{l}x = \frac{\pi }{4} + k2\pi \\x = \frac{{5\pi }}{4} + k2\pi \end{array} \right.\,\,\left( {k \in Z} \right)\)
D.\(\left[ \begin{array}{l}x = - \frac{\pi }{4} + k2\pi \\x = -\frac{{5\pi }}{4} + k2\pi \end{array} \right.\,\,\left( {k \in Z} \right)\)

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