Toán Lớp 11: giải phương trình sau :
2tanx + cotx +3 = 0
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Toán Lớp 11: giải phương trình sau :
2tanx + cotx +3 = 0
Comments ( 2 )
2\tan x + \cot x + 3 = 0\\
\Leftrightarrow 2\tan x + \dfrac{1}{{\tan x}} + 3 = 0\\
\Leftrightarrow 2{\tan ^2}x + 3\tan x + 1 = 0\\
\Leftrightarrow \left[ \begin{array}{l}
\tan x = – 1\\
\tan x = – \dfrac{1}{2}
\end{array} \right.\\
\Leftrightarrow \left[ \begin{array}{l}
x = – \dfrac{\pi }{4} + k\pi \\
x = \arctan \left( { – \dfrac{1}{2}} \right) + k\pi
\end{array} \right.\left( {k \in \mathbb Z} \right)
\end{array}$
Đây nhé b
