40 bài tập trắc nghiệm một số phương trình lượng g...

A \(x = - \dfrac{\pi }{{18}} + \dfrac{{k\pi }}{3}\), \(x = \dfrac{{5\pi }}{{18}} + \dfrac{{k2\pi }}{9}\).

B \(x = \pm \dfrac{\pi }{{18}} + {{k2\pi }}\), \(x = \dfrac{{5\pi }}{{18}} + \dfrac{{k2\pi }}{3}\).

C \(x = \dfrac{\pi }{8} + \dfrac{{k\pi }}{4}\), \(x = \dfrac{\pi }{{18}} + \dfrac{{k2\pi }}{3}\), \(x = \dfrac{{5\pi }}{{18}} + \dfrac{{k2\pi }}{3}\).

D \(x = \dfrac{\pi }{8} + \dfrac{{k\pi }}{4}\), \(x = \dfrac{\pi }{{18}} + \dfrac{{k\pi }}{18}\), \(x = - \dfrac{{5\pi }}{{18}} + \dfrac{{k\pi }}{3}\).

A \(x = k\pi \), \(x = \dfrac{\pi }{6} + \dfrac{{k\pi }}{3}\), \(x = \dfrac{\pi }{{12}} + k\pi \), \(x = \dfrac{{5\pi }}{{7}} + k\pi \).

B \(x = k2\pi \), \(x = \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\), \(x = \dfrac{\pi }{{12}} + k\pi \), \(x = \dfrac{{5\pi }}{{12}} + k\pi \).

C \(x = k\pi \), \(x = \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\), \(x = \dfrac{\pi }{{12}} + k\pi \), \(x = \dfrac{{5\pi }}{{12}} + k\pi \).

D \(x = k2\pi \), \(x = \dfrac{\pi }{6} + \dfrac{{k2\pi }}{3}\), \(x = \dfrac{\pi }{{12}} + k\pi \), \(x = \dfrac{{7\pi }}{{12}} + k\pi \).

A \(x = \dfrac{{\pi }}{3} + k\pi\).

B \(x = \dfrac{{\pi }}{3} + 2k\pi \), \(x = \dfrac{{k\pi }}{7}\).

C \(x = \dfrac{{3k\pi }}{4}\)

D \(x = \dfrac{{k\pi }}{4}\), \(x = \dfrac{{k\pi }}{3}\).

A \(x = k\pi \), \(x = \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\).

B \(x =\pm \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\).

C \(x =  \dfrac{\pi }{2} + k\pi\), \(x = - \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\).

D \(x = 2k\pi \), \(x = \dfrac{\pi }{2} + \dfrac{{k\pi }}{3}\).

A \(x = \dfrac{\pi }{6} + \dfrac{{k2\pi }}{3}\), \(x =  \pm \dfrac{{2\pi }}{3} + 2k\pi \).

B \(x = \dfrac{{k2\pi }}{7}\), \(x = \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\), \(x =  \pm \dfrac{{2\pi }}{3} + k2\pi \).

C \(x = \dfrac{{k2\pi }}{3}\), \(x = \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\), \(x =  + \dfrac{{\pi }}{7} + k2\pi \).

D \(x = \dfrac{{k2\pi }}{7}+ k\pi \), \(x = \dfrac{2\pi }{3} + \dfrac{{k2\pi }}{3}\).

A \(x = \dfrac{\pi }{3} + k\pi \), \(x = k\pi \), \(x = \dfrac{{k\pi }}{5}\).

B \(x = \dfrac{\pi }{2} + k\pi \), \(x = k2\pi \), \(x = \dfrac{{k2\pi }}{5}\).

C \(x = \dfrac{\pi }{2} + 2k\pi \),  \(x = \dfrac{{k2\pi }}{3}\).

D \(x = \pm \dfrac{\pi }{2} + k\pi \), \(x = k2\pi \)

A \(x =\pm \dfrac{\pi }{2} + 2k\pi \), \(x = \dfrac{\pi }{3} + \dfrac{{k\pi }}{3}\).

B \(x = \dfrac{\pi }{2} + 2k\pi \), \(x = \pm \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\).

C \(x = \dfrac{\pi }{2} + k\pi \), \(x = \dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}\).

D \(x = - \dfrac{\pi }{2} + k\pi \), \(x = \dfrac{\pi }{6} + \dfrac{{k\pi }}{3}\).

A \(x =  \pm \dfrac{{2\pi }}{3} + k2\pi \), \(x = \dfrac{\pi }{8} + \dfrac{{k\pi }}{2}\).

B \(x =  \pm \dfrac{{\pi }}{3} + k\pi \), \(x = \dfrac{\pi }{8} + \dfrac{{k\pi }}{3}\).

C \(x =  + \dfrac{{4\pi }}{3} + k2\pi \), \(x = \dfrac{\pi }{8} + k\pi \).

D \(x =  - \dfrac{{\pi }}{3} + k2\pi \), \(x = \dfrac{\pi }{8} + \dfrac{{k\pi }}{3}\).

A \(3\)

B \(1\)

C \(0\)

D \(2\)

A 2.

B 1.

C 3.

D 0.

A \(S = \left\{ {k\pi ;\frac{{k2\pi }}{9},\,\,k \in \mathbb{Z}} \right\}\)

B \(S = \left\{ {\frac{{k\pi }}{2};\frac{{k2\pi }}{9},\,\,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ {k\pi ;\frac{{k\pi }}{9},\,\,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\frac{{k\pi }}{2};\frac{{k\pi }}{9},\,\,k \in \mathbb{Z}} \right\}\)

A \(2\)

B \(3\)

C \(1\)

D \(4\)

A \(x =  \dfrac{\pi }{6} + k\pi \,\,\left( {k \in \mathbb{Z} } \right)\)

B \(x =  - \dfrac{\pi }{6} + k\pi \,\,\left( {k \in \mathbb{Z} } \right)\)

C \(x =  - \dfrac{\pi }{6} + k2\pi \,\,\left( {k \in \mathbb{Z} } \right)\)

D \(x =  \dfrac{\pi }{6} + k2\pi \,\,\left( {k \in \mathbb{Z} } \right)\)

A \(x = \pi  + k2\pi \), \(k \in \mathbb{Z}\).

B \(x = \pi  + k\pi \), \(k \in \mathbb{Z}\).

C \(x = \dfrac{\pi }{2} + k\pi ,\,\,k \in \mathbb{R} \)

D \(x = \dfrac{\pi }{2} + k2\pi ,\,\,k \in \mathbb{R} \)

A \(x = \dfrac{\pi }{2} + k\pi \), \(k \in \mathbb{Z}\)

B \(x = \dfrac{\pi }{2} + k2\pi \), \(k \in \mathbb{Z}\)

C \(x =- \dfrac{\pi }{2} + k2\pi \), \(k \in \mathbb{Z}\)

D \(x = \pm \dfrac{\pi }{4} + k\pi \), \(k \in \mathbb{Z}\)

A \(S = \left\{ {\frac{\pi }{6} + k2\pi ;\frac{{5\pi }}{6} + k2\pi ,\frac{\pi }{4} + \frac{{k\pi }}{2},k \in \mathbb{Z}} \right\}\)

B \(S = \left\{ {\frac{{ - \pi }}{6} + k2\pi ;\frac{{7\pi }}{6} + k2\pi ,\frac{\pi }{4} + \frac{{k\pi }}{2},k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ {\frac{{ - \pi }}{6} + k2\pi ;\frac{{7\pi }}{6} + k2\pi ,\frac{\pi }{2} + k\pi ,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\frac{\pi }{6} + k2\pi ;\frac{{5\pi }}{6} + k2\pi ,\frac{\pi }{2} + k\pi ,k \in \mathbb{Z}} \right\}\)

A \(S = \left\{ {\frac{{ - \pi }}{6} + k2\pi ;\frac{{7\pi }}{6} + k2\pi ;\,k \in \mathbb{Z} } \right\}\,\)

B \(S = \left\{ {\frac{\pi }{6} + k2\pi ;\frac{{5\pi }}{6} + k2\pi ;\,k \in \mathbb{Z} } \right\}\,\)

C \(S = \left\{ {\frac{{ - \pi }}{3} + k2\pi ;\frac{{4\pi }}{3} + k2\pi ;\,k \in \mathbb{Z} } \right\}\,\)

D \(S = \left\{ {\frac{\pi }{3} + k2\pi ;\frac{{2\pi }}{3} + k2\pi ;\,k \in \mathbb{Z} } \right\}\,\)

A \(S = \left\{ { \dfrac{{ \pi }}{4} + \dfrac{k\pi}{2}  ,\,\,k \in \mathbb{Z}} \right\}\).

B \(S = \left\{ { - \dfrac{\pi }{4} + k2\pi ,\,\,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ {\dfrac{\pi }{4} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\dfrac{\pi }{4} + k2\pi ,\,\,k \in \mathbb{Z}} \right\}\)

A \(S = \left\{ {\frac{{3\pi }}{4} + k2\pi ,\,\,k \in \mathbb{Z}} \right\}\)

B \(S = \left\{ { \pm \frac{{3\pi }}{4} + k2\pi ,\,\,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ { \pm \frac{{3\pi }}{4} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\frac{{3\pi }}{4} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

A \(S = \left\{ {\frac{{2\pi }}{3} + k2\pi ,\,\,\frac{\pi }{4} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

B \(S = \left\{ { \pm \frac{{2\pi }}{3} + k2\pi ,\,\,\frac{\pi }{4} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ { \pm \frac{{2\pi }}{3} + k2\pi ,\,\,\frac{\pi }{4} + k2\pi ,\,\,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\frac{{2\pi }}{3} + k2\pi ,\,\,\frac{\pi }{4} + k2\pi ,\,\,k \in \mathbb{Z}} \right\}\)

A \(S = \left\{ {\frac{\pi }{4} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

B \(S = \left\{ {\frac{\pi }{2} + \frac{{k\pi }}{2},\,\,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ {\frac{\pi }{4} + \frac{{k\pi }}{2},\,\,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\frac{\pi }{2} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

A \(S = \left\{ {k\pi ,\,\,\arctan \frac{2}{3} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

B \(S = \left\{ {k2\pi ,\,\,\arctan \frac{1}{3} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ {k\pi ,\,\,\arctan \frac{1}{3} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {k2\pi ,\,\,\arctan \frac{2}{3} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

A \(S = \left\{ {\frac{\pi }{6} + k\pi ;\frac{{5\pi }}{6} + k\pi ,k \in \mathbb{Z}} \right\}\)

B \(S = \left\{ {\frac{\pi }{3} + k2\pi ;\frac{{2\pi }}{3} + k2\pi ,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ {\frac{\pi }{3} + k\pi ;\frac{{2\pi }}{3} + k\pi ,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\frac{\pi }{6} + k2\pi ;\frac{{5\pi }}{6} + k2\pi ,k \in \mathbb{Z}} \right\}\)

A \(S = \left\{ {\frac{\pi }{4} + k2\pi ;\,\,\pi  + k2\pi } \right\}\)

B \(S = \left\{ { - \frac{\pi }{2} + k2\pi ;\,\, - \pi  + k2\pi } \right\}\)

C \(S = \left\{ { \frac{\pi }{4} + k\pi } \right\}\)

D \(S = \left\{ {\frac{\pi }{4} + k2\pi ;\,\, - \pi  + k2\pi } \right\}\)

A \(x =  - \dfrac{\pi }{4} + k\pi ,\,\,x = k2\pi \)

B \(x =  \dfrac{\pi }{4} + k\pi ,\,\,x = k2\pi \)

C \(x =  - \dfrac{\pi }{4} + k\pi ,\,\,x = k\pi \)

D \(x =  \dfrac{\pi }{4} + k\pi ,\,\,x = k\pi \)

A \(S = \left\{ {\frac{\pi }{2} + k\pi ;\,\,\pi  + k\pi } \right\}\)

B \(S = \left\{ {\frac{\pi }{2} + k2\pi ;\,\,\pi  + k2\pi } \right\}\)

C \(S = \left\{ {\frac{\pi }{2} + k2\pi ;\,\,k2\pi } \right\}\)

D \(S = \left\{ {\frac{\pi }{2} + k\pi ;\,\,\,k\pi } \right\}\)

A \(S = \left\{ { - \frac{\pi }{4} + k\pi ,\,\,\frac{{k\pi }}{2},\,\,k \in \mathbb{Z}} \right\}\)

B \(S = \left\{ { - \frac{\pi }{4} + k\pi ,\,\,k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ {\frac{\pi }{4} + k\pi ,\,\,\frac{{k\pi }}{2},\,\,k \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\frac{\pi }{4} + k\pi ,\,\,k\pi ,\,\,k \in \mathbb{Z}} \right\}\)

A \(S = \left\{ {\dfrac{\pi }{2} + k2\pi ;\,\,k2\pi } \right\}\)

B \(S = \left\{ {\pi  + k2\pi ;\,\,k2\pi } \right\}\)

C \(S = \left\{ {\pi  + k\pi ;\,\,k\pi } \right\}\)

D \(S = \left\{ {\dfrac{{k\pi }}{2};\,\,k \in \mathbb{Z}} \right\}\).

A \(S = \left\{ {\frac{\pi }{2} + k\pi ;\,\,\pi  + k\pi } \right\}\)

B \(S = \left\{ {\dfrac{{k\pi }}{2},\,\,k \in \mathbb{Z}} \right\}.\)

C \(S = \left\{ {\frac{\pi }{2} + k2\pi ;\,\,k2\pi } \right\}\)

D \(S = \left\{ {\frac{\pi }{2} + k\pi ;\,\,\,k\pi } \right\}\)

A \(S = \left\{ {k2\pi ;\frac{{3\pi }}{2} + k2\pi } \right\}\)

B \(S = \left\{ {k\pi ;\frac{{3\pi }}{2} + k\pi } \right\}\)

C \(S = \left\{ {k\pi ;\frac{\pi }{2} + k\pi } \right\}\)

D \(S = \left\{ {k2\pi ;\frac{\pi }{2} + k2\pi } \right\}\)

A \(S = \left\{ {\dfrac{\pi }{4} + k\pi ,\,\,\dfrac{{ - \pi }}{{12}} + k\pi ;\,\,\dfrac{{ - 5\pi }}{{12}} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\).

B \(S = \left\{ {-\dfrac{\pi }{4} + k\pi ,\,\,\dfrac{{ - \pi }}{{12}} + k\pi ;\,\,\dfrac{{ - 5\pi }}{{12}} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\).

C \(S = \left\{ {\dfrac{\pi }{4} + k\pi ,\,\,\dfrac{{ \pi }}{{12}} + k\pi ;\,\,\dfrac{{ - 5\pi }}{{12}} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\).

D \(S = \left\{ {\dfrac{\pi }{4} + k\pi ,\,\,\dfrac{{ \pi }}{{12}} + k\pi ;\,\,\dfrac{{ 5\pi }}{{12}} + k\pi ,\,\,k \in \mathbb{Z}} \right\}\).

A \(S = \left\{ {\alpha  - \frac{\pi }{4} + k\pi ;\frac{{3\pi }}{4} - \alpha  + k\pi } \right\}\)

B \(S = \left\{ {\alpha  - \frac{\pi }{4} + k2\pi ;\frac{{3\pi }}{4} - \alpha  + k2\pi } \right\}\)

C \(S = \left\{ {\alpha  - \frac{\pi }{4} + k2\pi ;\alpha  - \frac{{3\pi }}{4} + k2\pi } \right\}\)

D \(S = \left\{ {\alpha  - \frac{\pi }{4} + k\pi ;\alpha  - \frac{{3\pi }}{4} + k\pi } \right\}\)

A \(\left[ \begin{array}{l}x = \frac{\pi }{2} + k2\pi \\x = \frac{\pi }{6} + k2\pi \\x = \frac{{5\pi }}{6} + k2\pi \end{array} \right.\left( {k \in Z} \right)\)

B \(\left[ \begin{array}{l}x = \frac{\pi }{2} + k\pi \\x = \frac{\pi }{6} + k\pi \\x = \frac{{5\pi }}{6} + k\pi \end{array} \right.\left( {k \in Z} \right)\)

C \(\left[ \begin{array}{l}x =  - \frac{\pi }{2} + k2\pi \\x =  - \frac{\pi }{6} + k2\pi \\x = \frac{{5\pi }}{6} + k2\pi \end{array} \right.\left( {k \in Z} \right)\)

D \(\left[ \begin{array}{l}x =  - \frac{\pi }{2} + k\pi \\x =  - \frac{\pi }{6} + k\pi \\x = \frac{{5\pi }}{6} + k\pi \end{array} \right.\left( {k \in Z} \right)\)

A \(x = \frac{\pi }{4} + k\pi \left( {k \in Z} \right)\)

B \(x = \frac{\pi }{4} + k2\pi \left( {k \in Z} \right)\)

C \(x =  - \frac{\pi }{4} + k\pi \left( {k \in Z} \right)\)

D \(x =  - \frac{\pi }{4} + k2\pi \left( {k \in Z} \right)\)

A \(\left[ \begin{array}{l}x = \frac{{2\pi }}{3} + k2\pi \\x = \frac{\pi }{3} + k2\pi \\x = \frac{\pi }{4} + k2\pi \\x = \frac{{3\pi }}{4} + k2\pi \end{array} \right.\,\,\,\,\left( {k \in \mathbb{Z}} \right)\)

B \(\left[ \begin{array}{l}
x = \frac{{2\pi }}{3} + k\pi \\
x = \frac{\pi }{4} + k\pi
\end{array} \right.\)

C \(\left[ \begin{array}{l}x = \frac{{2\pi }}{3} + k2\pi \\x = \frac{\pi }{3} + k2\pi \\x =  - \frac{\pi }{4} + k2\pi \\x = \frac{{5\pi }}{4} + k2\pi \end{array} \right.\,\,\,\,\left( {k \in \mathbb{Z}} \right)\)

D \(\left[ \begin{array}{l}x = \frac{{2\pi }}{3} + k\pi \\x = \frac{\pi }{3} + k\pi \\x = \frac{\pi }{4} + k\pi \\x = \frac{{3\pi }}{4} + k\pi \end{array} \right.\,\,\,\,\left( {k \in \mathbb{Z}} \right)\)

A \(x =  \dfrac{1}{2}\arccos \dfrac{{ - 2 + \sqrt 6 }}{2} + k\pi \)

B \(x =  \pm \dfrac{1}{2}\arccos \dfrac{{ - 2 + \sqrt 6 }}{2} + k\pi \)

C \(x = - \dfrac{1}{2}\arccos \dfrac{{ - 2 + \sqrt 6 }}{2} + k\pi \)

D \(x =  \pm \dfrac{1}{2}\arccos \dfrac{{ - 2 + \sqrt 6 }}{2} + k2\pi \)

A \(S = \left\{ {\frac{\pi }{4} + \frac{{k\pi }}{2};\frac{\pi }{6} + k2\pi ,\frac{{5\pi }}{6} + k2\pi ,\,\,\kappa  \in \mathbb{Z}} \right\}\)

B \(S = \left\{ {\frac{\pi }{2} + \frac{{k\pi }}{2};\frac{\pi }{6} + k2\pi ,\frac{{5\pi }}{6} + k2\pi ,\,k \in \mathbb{Z}} \right\}\)

C \(S = \left\{ {\frac{\pi }{4} + \frac{{k\pi }}{2};\frac{\pi }{3} + k2\pi ,\frac{{2\pi }}{3} + k2\pi ,\,\,\kappa  \in \mathbb{Z}} \right\}\)

D \(S = \left\{ {\frac{\pi }{2} + \frac{{k\pi }}{2};\frac{\pi }{3} + k2\pi ,\frac{{2\pi }}{3} + k2\pi ,\,\,\kappa  \in \mathbb{Z}} \right\}\)

A 2

B 4

C 5

D 3

A \(2000\)

B \(2001\)

C \(2010\)

D \(2011\)