giúp mk nha các cậu ơi Question giúp mk nha các cậu ơi in progress 0 Môn Toán Sigridomena 5 years 2020-11-04T01:44:58+00:00 2020-11-04T01:44:58+00:00 1 Answers 64 views 0
Answers ( )
Đáp án:
\(\left[ \begin{array}{l}
x = \dfrac{\pi }{6} + \dfrac{{k\pi }}{2}\\
x = – \dfrac{\pi }{6} + \dfrac{{k\pi }}{2}
\end{array} \right.\)
Giải thích các bước giải:
\(\begin{array}{l}
DK:\cos x \ne 0 \to x \ne \dfrac{\pi }{2} + k\pi \left( {k \in Z} \right)\\
{\tan ^2}2x = 3\\
\to \left[ \begin{array}{l}
\tan 2x = \sqrt 3 \\
\tan 2x = – \sqrt 3
\end{array} \right.\\
\to \left[ \begin{array}{l}
2x = \dfrac{\pi }{3} + k\pi \\
2x = – \dfrac{\pi }{3} + k\pi
\end{array} \right.\left( {k \in Z} \right)\\
\to \left[ \begin{array}{l}
x = \dfrac{\pi }{6} + \dfrac{{k\pi }}{2}\\
x = – \dfrac{\pi }{6} + \dfrac{{k\pi }}{2}
\end{array} \right.\left( {k \in Z} \right)
\end{array}\)