Trắc nghiệm Phương trình lượng giác cơ bản Toán Lớp 11

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

B. \(\left[\begin{array}{l} x=\frac{3\pi}{2}+k \pi \\ x=\pi+k 2 \pi & (k \in \mathbb{Z}) \\ x=\frac{\pi}{5}+\frac{k 2 \pi}{5} \end{array}\right.\)

C. \(\left[\begin{array}{l} x=\frac{\pi}{2}+k \pi \\ x=\pi+k 2 \pi & (k \in \mathbb{Z}) \end{array}\right.\)

D. Vô nghiệm.

A. Vô nghiệm.

B. \(\quad\left[\begin{array}{l} x=\frac{k \pi}{2} \\ x=\pm\frac{\pi}{2}+l 2 \pi \quad(k, l \in \mathbb{Z}) \\ x=-\frac{\pi}{6}+\frac{l 2 \pi}{3} \end{array}\right.\)

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

D. \(\quad\left[\begin{array}{l} x=\frac{k \pi}{2} \\ x=\frac{\pi}{2}+l 2 \pi \quad(k, l \in \mathbb{Z}) \\ x=-\frac{\pi}{6}+\frac{l 2 \pi}{3} \end{array}\right.\)

A. \(x=\frac{\pi}{6}+\frac{k \pi}{3} \)

B. \(\left[\begin{array}{l} x=\frac{\pi}{6}+\frac{k \pi}{3} \\ x=\ \frac{\pi}{3}+l \pi \end{array}(k, l \in \mathbb{Z})\right.\)

C. Vô nghiệm.

D. \(\left[\begin{array}{l} x=\frac{\pi}{6}+\frac{k \pi}{3} \\ x=\pm \frac{\pi}{3}+l \pi \end{array}(k, l \in \mathbb{Z})\right.\)

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

B. \( \left[\begin{array}{l} x=\frac{k3 \pi}{2} \\ x=\pm \frac{2 \pi}{3}+l 2 \pi \end{array}(k, l \in \mathbb{Z}) .\right.\)

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

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

A. \( \left[ \begin{array}{l} x = \frac{\pi }{4} + \frac{{k\pi }}{2}\\ x = \frac{2\pi }{3} + \frac{{l2\pi }}{3} \end{array} \right.\left( {k,l \in Z} \right)\)

B. \( \left[ \begin{array}{l} x = \frac{\pi }{4} + \frac{{k\pi }}{2}\\ x = \frac{\pi }{3} + \frac{{l2\pi }}{3} \end{array} \right.\left( {k,l \in Z} \right)\)

C. \( \left[ \begin{array}{l} x = \frac{3\pi }{4} + \frac{{k\pi }}{2}\\ x = \frac{2\pi }{3} + \frac{{l2\pi }}{3} \end{array} \right.\left( {k,l \in Z} \right)\)

D. Vô nghiệm.

A. \( x = \frac{{k\pi }}{3}\left( {k \in Z} \right)\)

B. \( x = \frac{{k2\pi }}{3}\left( {k \in Z} \right)\)

C. \( x = k \pi( k \in Z )\)

D. Vô nghiệm.

A. \(x=-\frac{\pi}{9}+k 2 \pi \)

B. Vô nghiệm.

C. \( \left[\begin{array}{l} x=-\frac{\pi}{9}+k \pi \\ x=\frac{2 \pi}{9}+k \pi \end{array}(k \in \mathbb{Z})\right.\)

D. \( \left[\begin{array}{l} x=-\frac{\pi}{9}+k 2 \pi \\ x=\frac{2 \pi}{9}+k 2 \pi \end{array}(k \in \mathbb{Z})\right.\)

A. \(x=\frac{\pi}{6}+\frac{k \pi}{3} \)

B. \( \left[\begin{array}{l} x=\frac{\pi}{6}+\frac{k \pi}{3} \\ x=-\frac{\pi}{4}+\frac{k \pi}{2} \end{array}(k \in \mathbb{Z})\right.\)

C. \( \left[\begin{array}{l} x=\frac{5\pi}{6}+\frac{k \pi}{3} \\ x=-\frac{3\pi}{4}+\frac{k \pi}{2} \end{array}(k \in \mathbb{Z})\right.\)

D. \( \left[\begin{array}{l} x=\frac{5\pi}{6}+\frac{k \pi}{3} \\ x=-\frac{\pi}{4}+\frac{k \pi}{2} \end{array}(k \in \mathbb{Z})\right.\)

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

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

C. Vô nghiệm.

D. \(x=\frac{k 2 \pi}{3} \)

A. \( \left[\begin{array}{l} x=\frac{3\pi}{2}+k 2 \pi \\ x=-\frac{3\pi}{6}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

B. \( \left[\begin{array}{l} x=\frac{\pi}{2}+k 2 \pi \\ x=-\frac{\pi}{6}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

C. \( \left[\begin{array}{l} x=\frac{\pi}{2}+k 2 \pi \\ x=-\frac{5\pi}{6}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

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

A. \(x=\frac{\pi}{12}+\frac{k 2 \pi}{3} \)

B. \(\left[\begin{array}{l} x=\frac{\pi}{12}+\frac{k 2 \pi}{3} \\ x=\frac{\pi}{4}+k \pi \end{array}(k \in \mathbb{Z})\right.\)

C. \(\left[\begin{array}{l} x=\frac{5\pi}{12}+\frac{k 2 \pi}{3} \\ x=\frac{\pi}{4}+k \pi \end{array}(k \in \mathbb{Z})\right.\)

D. Vô nghiệm.

A. \(\left[\begin{array}{l} x=-\frac{3 \pi}{4}+k 2 \pi \\ x=\frac{5 \pi}{12}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

B. \( x=-\frac{3 \pi}{4}+k 2 \pi \)

C. \(\left[\begin{array}{l} x=-\frac{\pi}{4}+k 2 \pi \\ x=\frac{ \pi}{12}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

D. Vô nghiệm.

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

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

C. Vô nghiệm.

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

A. Vô nghiệm.

B. \(x=\frac{5\pi}{12}+\frac{k \pi}{4}(k \in \mathbb{Z})\)

C. \(x=\frac{\pi}{12}+\frac{k \pi}{4}(k \in \mathbb{Z})\)

D. \(x=\frac{\pi}{3}+\frac{k \pi}{4}(k \in \mathbb{Z})\)

A. \(\left[\begin{array}{l} x=\frac{ \pi}{3}+\frac{k \pi}{3} \\ x=-\frac{13 \pi}{12}-k \pi \end{array}(k \in \mathbb{Z}) .\right. \)

B. \(\left[\begin{array}{l} x=\frac{5 \pi}{36}+\frac{k \pi}{3} \\ x=-\frac{13 \pi}{12}-k \pi \end{array}(k \in \mathbb{Z}) .\right. \)

C. \(\left[\begin{array}{l} x=\frac{ \pi}{3}+\frac{k \pi}{3} \\ x=-\frac{13 \pi}{12}-k \pi \end{array}(k \in \mathbb{Z}) .\right. \)

D. \(\left[\begin{array}{l} x=\frac{5 \pi}{36}+\frac{k 2 \pi}{3} \\ x=-\frac{13 \pi}{12}-k 2 \pi \end{array}(k \in \mathbb{Z}) .\right. \)

A. \(\left[\begin{array}{l} x=33^{\circ}+k 90^{\circ} \\ x=-112^{\circ}+k 180^{\circ} \end{array}(k \in \mathbb{Z}) .\right.\)

B. \(\left[\begin{array}{l} x=33,75^{\circ}+k 90^{\circ} \\ x=-112,5^{\circ}+k 180^{\circ} \end{array}(k \in \mathbb{Z}) .\right.\)

C. \(\left[\begin{array}{l} x=33,75^{\circ}+k 180^{\circ} \\ x=-112,5^{\circ}+k 180^{\circ} \end{array}(k \in \mathbb{Z}) .\right.\)

D. \(\left[\begin{array}{l} x=33^{\circ}+k 90^{\circ} \\ x=-112,5^{\circ}+k 180^{\circ} \end{array}(k \in \mathbb{Z}) .\right.\)

A. \(x=\frac{ \pi}{3}+\frac{k \pi}{3}(k \in \mathbb{Z})\)

B. \(x=\frac{3 \pi}{4}+\frac{k \pi}{3}(k \in \mathbb{Z})\)

C. \(x=\frac{17 \pi}{36}+\frac{k \pi}{3}(k \in \mathbb{Z})\)

D. \(x=\frac{ \pi}{36}+\frac{k \pi}{3}(k \in \mathbb{Z})\)

A. \(\left[\begin{array}{l} x=\frac{\pi}{2}+\frac{k \pi}{3} \\ x=-\frac{7 \pi}{20}+k \pi \end{array}(k \in \mathbb{Z})\right. \)

B. \(\left[\begin{array}{l} x=\frac{3\pi}{20}+\frac{k \pi}{3} \\ x=-\frac{7 \pi}{20}+k \pi \end{array}(k \in \mathbb{Z})\right. \)

C. \(\left[\begin{array}{l} x=\frac{\pi}{20}+\frac{k \pi}{3} \\ x=-\frac{7 \pi}{20}+k 2\pi \end{array}(k \in \mathbb{Z})\right. \)

D. \(\left[\begin{array}{l} x=\frac{\pi}{20}+\frac{k \pi}{3} \\ x=-\frac{7 \pi}{20}+k \pi \end{array}(k \in \mathbb{Z})\right. \)

A. \(\left[\begin{array}{l} x=\frac{5\pi}{12}+\frac{k 2 \pi}{3} \\ x=-\frac{3 \pi}{4}+k 2 \pi \end{array}(k \in \mathbb{Z}) .\right. \)

B. \(\left[\begin{array}{l} x=\frac{\pi}{12}+\frac{k 2 \pi}{3} \\ x=-\frac{3 \pi}{4}+k 2 \pi \end{array}(k \in \mathbb{Z}) .\right. \)

C. \(\left[\begin{array}{l} x=\frac{\pi}{12}+\frac{k 2 \pi}{3} \\ x=-\frac{ \pi}{4}+k 2 \pi \end{array}(k \in \mathbb{Z}) .\right. \)

D. \(\left[\begin{array}{l} x=\frac{\pi}{12}+\frac{k 2 \pi}{3} \\ x=-\frac{ \pi}{4}+k \pi \end{array}(k \in \mathbb{Z}) .\right. \)

A. \( \left[\begin{array}{l} x=\frac{\pi}{3}+k 2 \pi \\ x=\frac{2 \pi}{9}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

B. \( \left[\begin{array}{l} x=\frac{\pi}{3}+k 2 \pi \\ x=\frac{ \pi}{9}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

C. \( \left[\begin{array}{l} x=\frac{2\pi}{3}+k 2 \pi \\ x=\frac{2 \pi}{9}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

D. \( \left[\begin{array}{l} x=\frac{\pi}{3}+k 2 \pi \\ x=\frac{5\pi}{9}+\frac{k 2 \pi}{3} \end{array}(k \in \mathbb{Z})\right.\)

A. \(x=45^{\circ}+k 90^{\circ}\)

B. \(x=60^{\circ}+k 90^{\circ}\)

C. \(x=30^{\circ}+k 90^{\circ}\)

D. \(x=15^{\circ}+k 90^{\circ}\)

A. \(x=\frac{\pi}{3}+k \pi(k \in \mathbb{Z})\)

B. \(x=\frac{4 \pi}{3}+k \pi(k \in \mathbb{Z})\)

C. \(x=\frac{4 \pi}{3}+k 2 \pi(k \in \mathbb{Z})\)

D. \(x=\frac{ \pi}{3}+k 2 \pi(k \in \mathbb{Z})\)

A. \(\left[\begin{array}{l} x=\frac{\pi}{12}+k \pi \\ x=-\frac{7 \pi}{12}+k \pi \end{array}(k \in \mathbb{Z})\right.\)

B. \(\left[\begin{array}{l} x=-\frac{\pi}{12}+k \pi \\ x=-\frac{7 \pi}{12}+k \pi \end{array}(k \in \mathbb{Z})\right.\)

C. \(\left[\begin{array}{l} x=-\frac{\pi}{12}+k2 \pi \\ x=-\frac{7 \pi}{12}+k 2\pi \end{array}(k \in \mathbb{Z})\right.\)

D. \(\left[\begin{array}{l} x=\frac{\pi}{12}+k \pi \\ x=\frac{7 \pi}{12}+k \pi \end{array}(k \in \mathbb{Z})\right.\)

A. \( \frac{{7400\pi }}{3}\)

B. \( \frac{{7525\pi }}{3}\)

C. \( \frac{{7375\pi }}{3}\)

D. \( \frac{{7550\pi }}{3}\)

A. \( m \in \left[ { - \frac{1}{2}{\mkern 1mu} ;{\mkern 1mu} \frac{1}{2}} \right]\)

B. \( m \in \left( { - \infty {\mkern 1mu} ;{\mkern 1mu} - 1} \right] \cup \left[ {1{\mkern 1mu} ;{\mkern 1mu} + \infty } \right)\)

C. \( m \in \left( { - 1{\mkern 1mu} ;{\mkern 1mu} 1} \right)\)

D. \( m \in \left[ { - \frac{1}{2}{\mkern 1mu} ;{\mkern 1mu} 1} \right)\)

A. \(\left[\begin{array}{c} x=k \pi \\ x=k 2 \pi \\ x=\pm \arccos \frac{-1+\sqrt{21}}{10}+k 2 \pi \\ x=\pm \arccos \frac{-1-\sqrt{21}}{10}+k 2 \pi \end{array}\right.\)

B. \(x=k \frac{\pi}{2}\)

C. Vô nghiệm.

D. \(\left[\begin{array}{c} x=k \pi \\ x=k 2 \pi \\ x= \arccos \frac{-1+\sqrt{21}}{10}+k 2 \pi \\ x=\arccos \frac{-1-\sqrt{21}}{10}+k 2 \pi \end{array}\right.\)

A. 2

B. 4

C. 6

D. 8

A. \(\left[\begin{array}{l} x=-\frac{\pi}{4}+k \pi \\ x=-\frac{\pi}{2}+k 2 \pi \\ x=\frac{\pi}{6}+k 2 \pi \end{array}\right.\)

B. \(\left[\begin{array}{l} x=-\frac{\pi}{4}+k \pi \\ x=\frac{\pi}{2}+k \pi \\ x=\frac{\pi}{6}+k \pi \\ x=\frac{5 \pi}{6}+k \pi \end{array}\right.\)

C. \(\left[\begin{array}{l} x=-\frac{\pi}{4}+k \pi \\ x=-\frac{\pi}{2}+k \pi \\ x=\frac{\pi}{6}+k \pi \\ x=\frac{5 \pi}{6}+k \pi \end{array}\right.\)

D. \(\left[\begin{array}{l} x=-\frac{\pi}{4}+k \pi \\ x=-\frac{\pi}{2}+k 2 \pi \\ x=\frac{\pi}{6}+k 2 \pi \\ x=\frac{5 \pi}{6}+k 2 \pi \end{array}\right.\)

A. 1

B. 2

C. 3

D. 4

A. \(\left[\begin{array}{l} x=\pm \frac{\pi}{4}+k2 \pi \\ x=-\frac{\pi}{12}+k2 \pi \end{array}\right.\)

B. \(\left[\begin{array}{l} x=\pm \frac{\pi}{4}+k \pi \\ x=-\frac{\pi}{12}+k \pi \\ x=\frac{7 \pi}{12}+k \pi \end{array}\right.\)

C. \(\left[\begin{array}{l} x=\pm \frac{\pi}{4}+k \pi \\ x=-\frac{\pi}{12}+k \pi \end{array}\right.\)

D. \(\left[\begin{array}{l} x=\pm \frac{\pi}{4}+k 2\pi \\ x=-\frac{\pi}{12}+k2 \pi \\ x=\frac{7 \pi}{12}+k 2\pi \end{array}\right.\)

A. 2

B. 3

C. 1

D. 4

A. \(x=\pm \frac{4\pi}{3}+k 2 \pi\)

B. \(x=\pm \frac{\pi}{3}+k 2 \pi\)

C. \(x=\pm \frac{2\pi}{3}+k 2 \pi\)

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

A. 2

B. 6

C. 4

D. 3

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

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

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

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

A. 1

B. 3

C. 5

D. 7

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

B. \(x=\frac{\pi}{4}+k \frac{\pi}{2}\)

C. Vô nghiệm.

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

A. 2

B. 4

C. 3

D. 1

A. \(x=\frac{\pi}{4}+k \pi\)

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

C. \(x=-\frac{\pi}{4}+k \pi\)

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

A. 1

B. 2

C. 3

D. 4

A. \(\left[\begin{array}{c} x=\frac{\pi}{4}+k \frac{\pi}{2} \\ x=-\frac{\pi}{12}+k \frac{\pi}{2} \end{array}\right.\)

B. \(\left[\begin{array}{c} x=\frac{\pi}{4}+k \frac{3\pi}{2} \\ x=-\frac{\pi}{12}+k \frac{3\pi}{2} \end{array}\right.\)

C. \(x=\frac{\pi}{4}+k \frac{\pi}{2}\)

D. Vô nghiệm.

A. 1

B. 2

C. 3

D. 4

A. \(x=\frac{\pi}{2}+k 2 \pi\)

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

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

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

A. 0

B. 1

C. 2

D. 3

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

B. \(\left[\begin{array}{l} x=\frac{\pi}{3}+k 2 \pi \\ x=\frac{5 \pi}{3}+k 2 \pi \end{array}\right.\)

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

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

A. 1

B. 2

C. 3

D. 4

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

B. \(x=\pm \frac{\pi}{2}+k 2 \pi\)

C. \(x=\pm \frac{2\pi}{3}+k 2 \pi\)

D. \(x=\pm \frac{\pi}{6}+k 2 \pi\)

A. 2

B. 4

C. 9

D. 12

A. 0

B. 3

C. 6

D. 9

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

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

C. \(\left[\begin{array}{l} x=\frac{2 \pi}{3}+k \pi \\ x=-\pi+k 4 \pi \quad(k \in \mathbb{Z}) \\ x=\frac{\pi}{9}+k \frac{4 \pi}{3} \end{array}\right.\)

D. Vô nghiệm.

A. 3

B. 8

C. 6

D. 2