Trắc nghiệm Phương trình lượng giác cơ bản Toán Lớp 11

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

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

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

D. \(x=\frac{5 \pi}{3}+k \pi, k \in \mathbb{Z}\)

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

B. \(\left[\begin{array}{l}x=\frac{\pi}{12}+k \frac{\pi}{2}, k \in \mathbb{Z} . \\ x=\frac{\pi}{24}+k \frac{\pi}{3}\end{array}\right.\)

C. \(\left[\begin{array}{l}x=\frac{\pi}{16}+k \frac{\pi}{2}, k \in \mathbb{Z} \\ x=\frac{\pi}{8}+k \frac{\pi}{3}\end{array}\right.\)

D. \(\left[\begin{array}{l}x=\frac{\pi}{18}+k \frac{\pi}{2} \\ x=\frac{\pi}{9}+k \frac{\pi}{3}\end{array}, k \in \mathbb{Z}\right.\)

A. Vô nghiệm.

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

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

D. \(x=k 2 \pi, k \in \mathbb{Z}\)

A. \((-\infty ;-1] \cup[1 ;+\infty)\)

B. \((-\infty ;-1) \cup(1 ;+\infty)\)

C. \([-1 ; 1]\)

D. \(m \in \mathbb{R}\)

A. \(m \leq \frac{21}{4}\)

B. \(m \leq 6\)

C. \(m \leq 24\)

D. \(m \leq 3\)

A. \(0 \leq m \leq \frac{4}{3}\)

B. \(\left[\begin{array}{ll}m \leq 0 \\ m \geq \frac{4}{3} & \text { . }\end{array}\right.\)

C. \( 0<m<\frac{4}{3}\)

D. \(\left[\begin{array}{l}m<0 \\ m>\frac{4}{3}\end{array}\right.\)

A. \(\frac{1}{3} \leq m \leq 3\)

B. \(m \leq \frac{1}{3}\)

C. Không có giá trị nào của m

D. \(m \geq 3\)

A. \(-3<m<5\)

B. \(m \geq 5\)

C. \(m \leq-3\,\, hay \,\,m \geq 5\)

D. \(-3 \leq m \leq 5\)

A. \(-5 \leq m \leq 5\)

B. \(m \geq 5\,\, hoặc \,\,m \leq-5\)

C. \(m \geq 5\)

D. \(m \leq-5\)

A. \(m<\frac{17}{2}\)

B. \(m \leq-\frac{17}{2}\)

C. \(m \geq \frac{17}{2}\)

D. \(m \leq \frac{17}{2}\)

A. \(m \in\left(-\infty ; \frac{3}{4}\right]\)

B. \(m \in\left(-\infty ; \frac{4}{3}\right]\)

C. \(m \in\left[\frac{4}{3} ;+\infty\right)\)

D. \(m \in\left[\frac{3}{4} ;+\infty\right)\)

A. \(-1 \leq m \leq 1\)

B. \(0 \leq m \leq \sqrt{2}\)

C. m tùy ý

D. \(-\sqrt{2} \leq m \leq \sqrt{2}\)

A. \(\left[\begin{array}{l}m \leq-4 \\ m \geq 4\end{array}\right.\)

B. \(m \geq 4\)

C. \(m \geq \sqrt{34}\)

D. \(-4 \leq m \leq 4\)

A. \(m \leq 12\)

B. \(m \leq 6\)

C. \(m \leq 24\)

D. \(m \leq 3\)

A. \(-3 \leq m \leq 1\)

B. \(-2 \leq m \leq 6\)

C. \(1 \leq m \leq 3\)

D. \(-1 \leq m \leq 3\)

A. \(m \geq 4\)

B. \(-4 \leq m \leq 4\)

C. \(m \geq \sqrt{34}\)

D. \(\left[\begin{array}{l}m \leq-4 \\ m \geq 4\end{array}\right.\)

A. \(\left[\begin{array}{l}m \leq-4 \\ m \geq 4\end{array}\right.\)

B. m>4

C. m<-4

D. -4<m<4

A. \(m \leq-13\)

B. \(m\leq 12\)

C. \(m \leq 24\)

D. \(m \geq 24\)

A. \(\left[\begin{array}{l}m \leq-8 \\ m \geq 8\end{array}\right.\)

B. m>8

C. m<-8

D. -8<m<8

A. \(m>5\)

B. \(\left[\begin{array}{l}m \leq-5 \\ m \geq 5\end{array}\right.\)

C. \(m<-5\)

D. \(-5<m<5\)

A. \(m>5\)

B. \(\left[\begin{array}{l}m \leq-5 \\ m \geq 5\end{array}\right.\)

C. \(m<-5\)

D. \(-5<m<5\)

A. \(m>6\)

B. \(\left[\begin{array}{l}m \leq-6 \\ m \geq 6\end{array}\right.\)

C. \(m<-6\)

D. \(-6<m<6\)

A. \(a^{2}+b^{2}<c^{2}\)

B. \(a^{2}+b^{2} \leq c^{2}\)

C. \(a^{2}+b^{2} \geq c^{2}\)

D. \(a^{2}+b^{2}>c^{2}\)

A. \(1-\sqrt{3} \leq m \leq 1+\sqrt{3}\)

B. \(1-\sqrt{2} \leq m \leq 1+\sqrt{2}\)

C. \(1-\sqrt{5} \leq m \leq 1+\sqrt{5}\)

D. \(0 \leq m \leq 2\)

A. \(-1 \leq m \leq 1\)

B. \(-\frac{1}{2} \leq m \leq \frac{1}{2}\)

C. \(-\frac{1}{4} \leq m \leq \frac{1}{4}\)

D. \(|m| \geq 1\)

A. \(-\sqrt{2} \leq m \leq \sqrt{2}\)

B. \(m \geq \sqrt{2}\)

C. \(-1 \leq m \leq 1\)

D. \(m \leq 2\)

A. \(m \geq 4\)

B. \(-4 \leq m \leq 4\)

C. \(m \geq \sqrt{34}\)

D. \(\left[\begin{array}{l}m \leq-4 \\ m \geq 4\end{array}\right.\)

A. \(-3 \leq m \leq 1\)

B. \(0 \leq m \leq 2\)

C. \(\left[\begin{array}{l}m \geq 1 \\ m \leq-3\end{array}\right.\)

D. \(-\sqrt{2} \leq m \leq \sqrt{2}\)

A. \(x=\frac{\pi}{8}+k \pi\)

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

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

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

A. \(x=\frac{5 \pi}{6}+k 2 \pi, k \in \mathbb{Z}\)

B. \(x=\frac{5}{6} \pi+k \pi, k \in \mathbb{Z}\)

C. \(x=\frac{-\pi}{6}+k 2 \pi, k \in \mathbb{Z}\)

D. \(x=\frac{\pi}{6}+k 2 \pi, k \in \mathbb{Z}\)

A. \(\sin \left(3 x-\frac{\pi}{6}\right)=-\frac{1}{2}\)

B. \(\sin \left(3 x+\frac{\pi}{6}\right)=-\frac{\pi}{6}\)

C. \(\sin \left(3 x+\frac{\pi}{6}\right)=-\frac{1}{2}\)

D. \(\sin \left(3 x+\frac{\pi}{6}\right)=\frac{1}{2}\)

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

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

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

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

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

B. \(x=\frac{\pi}{6}+k \pi, k \in \mathbb{Z}\)

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

D. \(x=\frac{\pi}{6}+k \frac{\pi}{2}, k \in \mathbb{Z}\)

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

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

C. \(\left[\begin{array}{l}x=-\frac{\pi}{6}+k 2 \pi \\ x=\frac{\pi}{9}+k 2 \pi\end{array}, k \in \mathbb{Z}\right.\)

D. \(\left[\begin{array}{l}x=-\frac{\pi}{8}+k 2 \pi \\ x=\frac{\pi}{12}+k 2 \pi\end{array}, k \in \mathbb{Z}\right.\)

A. \(x=\frac{5 \pi}{6}+k \pi\)

B. \(x=\frac{5 \pi}{6}+k 2 \pi\)

C. \(x=-\frac{\pi}{6}+k \pi\)

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

A. \(x=k 2 \pi\)

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

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

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

A. 0

B. 1

C. 2

D. 3

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

B. Vô nghiệm.

C. \(x=-\frac{\pi}{6}+k \pi\)

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

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

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

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

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

A. \(x=-\frac{\pi}{12}+k 2 \pi ; x=\frac{5 \pi}{12}+k 2 \pi\)

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

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

D. \(x=-\frac{\pi}{4}+k 2 \pi ; x=-\frac{5 \pi}{4}+k 2 \pi\)

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

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

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

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

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

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

C. \(x=\frac{\pi}{6}+k \pi ; x=k 2 \pi\)

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

A. \(\cos 3 x-\sqrt{3} \sin 3 x=2\)

B. \(\cos 3 x-\sqrt{3} \sin 3 x=-2\)

C. \(\sin x=\frac{\pi}{3}\)

D. \(3 \sin \left(x+\frac{\pi}{3}\right)-4 \cos \left(x+\frac{\pi}{3}\right)-5=0\)

A. \(\sqrt{3} \sin x=2\)

B. \(\frac{1}{4} \cos 4 x=\frac{1}{2}\)

C. \(2 \sin x+3 \cos x=1\)

D. \(\cot ^{2} x-\cot x+5=0\)

A. \(\sin x+\cos x=\sqrt{3}\)

B. \(\sqrt{2} \sin x+\cos x=1\)

C. \(\sqrt{2} \sin x+\cos x=-1\)

D. \(\sqrt{3} \sin x+\cos x=2\)

A. \(\sin x+2 \cos x=3\)

B. \(\sqrt{2} \sin x+\cos x=2\)

C. \(\sqrt{2} \sin x+\cos x=-1\)

D. \(\sqrt{3} \sin x+\cos x=3\)

A. \(\sin x-\cos x=3\)

B. \(\cos x+3 \sin x=-1\)

C. \(\sqrt{3} \sin 2 x-\cos 2 x=2\)

D. \(2 \sin x+3 \cos x=1\)

A. \(\sqrt{3} \sin 2 x-\cos 2 x=2\)

B. \(3 \sin x-4 \cos x=5\)

C. \(\sin x=\cos \frac{\pi}{4}\)

D. \(\sqrt{3} \sin x-\cos x=-3\)

A. \(\sqrt{3} \sin x=2\)

B. \(\frac{1}{4} \cos 4 x=\frac{1}{2}\)

C. \(2 \sin x+3 \cos x=1\)

D. \(\cot ^{2} x-\cot x+5=0\)

A. \(\sin x=\frac{1}{4}\)

B. \(\sqrt{3} \sin x-\cos x=-1\)

C. \(\sqrt{3} \sin 2 x-\cos 2 x=4\)

D. \(3 \sin x-4 \cos x=5\)