Toán Lớp 11: Giải phương trình: tanx=tanx/2
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Toán Lớp 11: Giải phương trình: tanx=tanx/2
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\cos x \ne 0\\
\cos \dfrac{x}{2} \ne 0
\end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}
x \ne \dfrac{\pi }{2} + k\pi \\
\dfrac{x}{2} \ne \dfrac{\pi }{2} + k\pi
\end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}
x \ne \dfrac{\pi }{2} + k\pi \\
x \ne \pi + k2\pi
\end{array} \right.\,\,\,\left( {k \in Z} \right)\)
\tan x = \tan \dfrac{x}{2}\\
\Leftrightarrow x = \dfrac{x}{2} + k\pi \\
\Leftrightarrow \dfrac{x}{2} = k\pi \\
\Leftrightarrow x = k2\pi \,\,\,\,\left( {k \in Z} \right)
\end{array}\)