Phương trình \(\sin x + \cos x = \sqrt 2 \sin 5x\) có nghiệm là:
A.\(\left[ \begin{array}{l}x = \frac{\pi }{4} + k\frac{\pi }{2}\\x = \frac{\pi }{6} + k\frac{\pi }{3}\end{array} \right.,k \in \mathbb{Z}.\)
B.\(\left[ \begin{array}{l}x = \frac{\pi }{{12}} + k\frac{\pi }{2}\\x = \frac{\pi }{{24}} + k\frac{\pi }{3}\end{array} \right.,k \in \mathbb{Z}.\)
C.\(\left[ \begin{array}{l}x = \frac{\pi }{{16}} + k\frac{\pi }{2}\\x = \frac{\pi }{8} + k\frac{\pi }{3}\end{array} \right.,k \in \mathbb{Z}.\)
D.\(\left[ \begin{array}{l}x = \frac{\pi }{{18}} + k\frac{\pi }{2}\\x = \frac{\pi }{9} + k\frac{\pi }{3}\end{array} \right.,k \in \mathbb{Z}.\)
A.\(\left[ \begin{array}{l}x = \frac{\pi }{4} + k\frac{\pi }{2}\\x = \frac{\pi }{6} + k\frac{\pi }{3}\end{array} \right.,k \in \mathbb{Z}.\)
B.\(\left[ \begin{array}{l}x = \frac{\pi }{{12}} + k\frac{\pi }{2}\\x = \frac{\pi }{{24}} + k\frac{\pi }{3}\end{array} \right.,k \in \mathbb{Z}.\)
C.\(\left[ \begin{array}{l}x = \frac{\pi }{{16}} + k\frac{\pi }{2}\\x = \frac{\pi }{8} + k\frac{\pi }{3}\end{array} \right.,k \in \mathbb{Z}.\)
D.\(\left[ \begin{array}{l}x = \frac{\pi }{{18}} + k\frac{\pi }{2}\\x = \frac{\pi }{9} + k\frac{\pi }{3}\end{array} \right.,k \in \mathbb{Z}.\)
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