Đáp án:
Giải thích các bước giải:
c) \(y = \cot \left( {x + \frac{\pi }{3}} \right) + \tan x\)
ĐKXĐ: \(\left\{ \begin{array}{l}\sin \left( {x + \frac{\pi }{3}} \right) \ne 0\\\cos x \ne 0\end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}x + \frac{\pi }{3} \ne k\pi \\x \ne \frac{\pi }{2} + k\pi \end{array} \right. \Leftrightarrow \left\{ \begin{array}{l}x \ne - \frac{\pi }{3} + k\pi \\x \ne \frac{\pi }{2} + k\pi \end{array} \right.\)
Vậy TXĐ: \(D = \mathbb{R}\backslash \left\{ { - \frac{\pi }{3} + k\pi ,\frac{\pi }{2} + k\pi } \right\}\)