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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 11: y=tan2x – cot2x tìm tập xác định

Toán Lớp 11: y=tan2x – cot2x tìm tập xác định

Comments ( 2 )

  1. ~rai~
    \(y=\tan2x-\cot2x\\ĐKXĐ:\begin{cases}\cos2x\ne 0\\\sin2x\ne 0\end{cases}\\\Leftrightarrow 2\sin2x\cos2x\ne 0\\\Leftrightarrow \sin4x\ne 0\\\Leftrightarrow 4x\ne k\pi\\\Leftrightarrow x\ne k\dfrac{\pi}{4}.(k\in\mathbb{Z})\\TXĐ:D=\mathbb{R}\backslash\left\{k\dfrac{\pi}{4}\Big|k\in\mathbb{Z}\right\}.\)

  2. Điều kiện xác định:
    $\begin{array}{l}
    \left\{ \begin{array}{l}
    \sin 2x \ne 0\\
    \cos 2x \ne 0
    \end{array} \right. \Rightarrow \sin 4x \ne 0\\
     \Leftrightarrow 4x \ne k\pi \\
     \Leftrightarrow x \ne \dfrac{{k\pi }}{4}\left( {k \in \mathbb{Z}} \right)\\
    \Rightarrow D = \mathbb{R}\backslash \left\{ {\dfrac{{k\pi }}{4}|k \in \mathbb{Z}} \right\}
    \end{array}$

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222-9+11+12:2*14+14 = ? ( )