Khẳng định nào sau đây là đúng?
| \(\cot x=1\Leftrightarrow x=\dfrac{\pi}{4}+k2\pi,\,k\in\mathbb{Z}\) | |
| \(\cos2x=0\Leftrightarrow x=\dfrac{\pi}{4}+k\pi,\,k\in\mathbb{Z}\) | |
| \(\sin x=0\Leftrightarrow x=k2\pi,\,k\in\mathbb{Z}\) | |
| \(\sin2x=1\Leftrightarrow x=\dfrac{\pi}{4}+k\pi,\,k\in\mathbb{Z}\) |
Chọn phương án D.
\(\begin{aligned}
\sin2x=1\Leftrightarrow&2x=\dfrac{\pi}{2}+k2\pi\\
\Leftrightarrow&x=\dfrac{\pi}{4}+k\pi,\,k\in\mathbb{Z}
\end{aligned}\)