Toán Lớp 11: giải phương trình lượng giác sin(x/3)- sin(-pi/6)= 0
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Toán Lớp 11: giải phương trình lượng giác sin(x/3)- sin(-pi/6)= 0
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$ x = \frac{{5\pi }}{2} + k6\pi $
\sin \left( {\frac{x}{3}} \right) = \sin \left( {\frac{\pi }{6}} \right)\\
\Leftrightarrow \left[ \begin{array}{l}
\frac{x}{3} = \frac{\pi }{6} + k2\pi \\
\frac{x}{3} = \pi – \frac{\pi }{6} + k2\pi
\end{array} \right. \Leftrightarrow \left[ \begin{array}{l}
x = \frac{\pi }{2} + k6\pi \\
x = \frac{{5\pi }}{2} + k6\pi
\end{array} \right.
\end{array}\]