Toán Lớp 11: căn3 sinx-cosx +1=0 ( giải giúp mình với)
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Toán Lớp 11: căn3 sinx-cosx +1=0 ( giải giúp mình với)
Comments ( 2 )
\sqrt 3 \sin x – \cos x + 1 = 0\\
\Leftrightarrow \frac{{\sqrt 3 }}{2}\sin x – \frac{1}{2}\cos x = – \frac{1}{2}\\
\Leftrightarrow \sin \left( {x – \frac{\pi }{6}} \right) = – \frac{1}{2}\\
\Leftrightarrow \{ \begin{array}{*{20}{c}}
{x – \frac{\pi }{6} = – \frac{\pi }{6} + k2\pi }\\
{x – \frac{\pi }{6} = \frac{{7\pi }}{6} + k2\pi }
\end{array}\\
\Leftrightarrow \{ \begin{array}{*{20}{c}}
{x = k2\pi }\\
{x = \frac{4}{3}\pi + k2\pi }
\end{array}
\end{array}\]