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معادلات زیر را حل کنید.
الف \(2\sin x - \sqrt 3 = 0\)
ب \(4\sin x + \sqrt 8 = 0\)
الف \(2\sin x - \sqrt 3 = 0\)
\(\begin{array}{l}2\sin x = \sqrt 3 \Rightarrow \sin x = \frac{{\sqrt 3 }}{2} = \sin \frac{\pi }{3}\\\\ \Rightarrow \left\{ \begin{array}{l}x = 2k\pi + \frac{\pi }{3}\,,\quad k \in Z\,\\\\x = 2k\pi + \pi + \frac{\pi }{3},\quad k \in Z\end{array} \right.\end{array}\)
ب \(4\sin x + \sqrt 8 = 0\)
\(\begin{array}{l}4\sin x = - \sqrt 8 \\\\ \Rightarrow \sin x = - \frac{{\sqrt 8 }}{4} = - \frac{{\sqrt 2 }}{2} = \sin ( - \frac{\pi }{4})\\\\ \Rightarrow \left\{ \begin{array}{l}x = 2k\pi - \frac{\pi }{4}\,,\quad k \in Z\,\\\\x = 2k\pi + \pi - \frac{\pi }{4},\quad k \in Z\end{array} \right.\end{array}\)
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