Trắc nghiệm Một số phương trình lượng giác thường gặp có đáp án (Phần 2)

A. $\left(\begin{array}{c}x=k\pi \\ x=\pm \frac{\pi }{6}+k2\pi \end{array}\right)$

B. $\left(\begin{array}{c}x=k\pi \\ x=\pm \frac{\pi }{6}+k\pi \end{array}\right)$

C. $\left(\begin{array}{c}x=k2\pi .\\ x=\pm \frac{\pi }{3}+k2\pi \end{array}\right)$

D. $x=\pm \frac{\pi }{6}+k2\pi$

A. $\left(\begin{array}{c}x=\pi +k\pi \\ y=-\frac{\pi }{3}-k\pi \end{array}\right)$

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

C. $\left(\begin{array}{c}x=\frac{\pi }{3}+k\pi \\ y=\frac{\pi }{3}-k\pi \end{array}\right)$

D. $\left(\begin{array}{c}x=\frac{5\pi }{6}+k\pi \\ y=-\frac{\pi }{6}-k\pi \end{array}\right)$

A. $x=\pi +k2\pi \left(k\in Z\right)$

B. $x=k\pi \left(k\in Z\right)$

C. $x=\pi +k\pi \left(k\in Z\right)$

D. $x=k2\pi \left(k\in Z\right)$

A. $x=-\frac{\pi }{6}+k2\pi \left(k\in Z\right)$

B. $x=\frac{\pi }{6}+\frac{k2\pi }{3}\left(k\in Z\right)$

C. $x=-\frac{\pi }{6}+\frac{k2\pi }{3}\left(k\in Z\right)$

D. $x=\pm \frac{\pi }{6}+\frac{k2\pi }{3}\left(k\in Z\right)$

A. $m\le 12$

B. $m\le 6$

C. $m\le 24$

D. $m\le 3$

A. 0

B. 1

C. 2

D. 3

A. $\left(\begin{array}{c}x=k\pi \\ x=\frac{\pi }{3}+k\pi \end{array}\right)(k\in Z)$

B. $\left(\begin{array}{c}x=k\pi \\ x=\frac{2\pi }{3}+k2\pi \end{array}\right)(k\in Z)$

C. $\left(\begin{array}{c}x=k2\pi \\ x=\frac{2\pi }{3}+k2\pi \end{array}\right)(k\in Z)$

D. $\left(\begin{array}{c}x=k\pi \\ x=\frac{2\pi }{3}+k\pi \end{array}\right)(k\in Z)$

A. $\left(\begin{array}{c}x=-\frac{\pi }{36}+\frac{k2\pi }{3}\\ x=\frac{5\pi }{36}+\frac{k2\pi }{3}\end{array}\right)(k\in Z)$

B. $\left(\begin{array}{c}x=-\frac{\pi }{36}+\frac{k\pi }{3}\\ x=\frac{5\pi }{36}+\frac{k\pi }{3}\end{array}\right)(k\in Z)$

C. $\left(\begin{array}{c}x=\frac{\pi }{36}+\frac{k2\pi }{3}\\ x=-\frac{5\pi }{36}+\frac{k2\pi }{3}\end{array}\right)(k\in Z)$

D. $\left(\begin{array}{c}x=-\frac{\pi }{36}+k2\pi \\ x=\frac{5\pi }{36}+k2\pi \end{array}\right)(k\in Z)$

A. $x=\frac{1}{2}\arctan 3+\frac{k\pi }{2},x=\frac{1}{2}\arctan \left(-2\right)+\frac{k\pi }{2}\left(k\in Z\right)$

B. $x=\arctan \frac{1+\sqrt{73}}{12}+\frac{k\pi }{2},x=\arctan \frac{1-\sqrt{73}}{12}+\frac{k\pi }{2}\left(k\in Z\right)$

C. $x=\frac{1}{2}\arctan \frac{1+\sqrt{73}}{6}+\frac{k\pi }{2},x=\frac{1}{2}\arctan \frac{1-\sqrt{73}}{6}+\frac{k\pi }{2}\left(k\in Z\right)$

D. $x=\arctan \frac{3}{2}+\frac{k\pi }{2},x=\arctan \left(-1\right)+\frac{k\pi }{2}\left(k\in Z\right)$

A. $x=\frac{\pi }{22}+\frac{k\pi }{8}\left(k\in Z\right)$

B. $x=\frac{\pi }{16}+\frac{k\pi }{10}\left(k\in Z\right)$

C. $x=\frac{\pi }{20}+\frac{k\pi }{10}\left(k\in Z\right)$

D. $x=\frac{k\pi }{4},x=\frac{\pi }{44}+\frac{k\pi }{20}\left(k\in Z\right)$

A. $x=-\frac{\pi }{4}+k\pi ;x=\frac{\pi }{6}+k2\pi ;x=\frac{5\pi }{6}+k2\pi ;x=-\frac{\pi }{2}+k2\pi \left(k\in Z\right)$

B. $x=\frac{\pi }{4}+k2\pi ;x=-\frac{\pi }{6}+k2\pi ;x=\frac{5\pi }{6}+\mathrm{k\pi };x=-\frac{\pi }{2}+\mathrm{k\pi }\left(k\in Z\right)$

C. $x=\pm \frac{\pi }{6}+k2\pi ;x=\frac{5\pi }{6}+k2\pi ;x=-\frac{\pi }{2}+k2\pi \left(k\in Z\right)$

D. $x=-\frac{\pi }{8}+k\pi ;x=\frac{\pi }{6}+\mathrm{k\pi };x=-\frac{5\pi }{6}+\frac{\mathrm{k\pi }}{6};x=-\frac{\pi }{2}+\frac{k\pi }{6}\left(k\in Z\right)$

A. $x=k2\pi ;x=\pm \arccos \frac{-1\pm \sqrt{5}}{4}+k2\pi \left(k\in Z\right)$

B. $x=\frac{\pi }{6}+k\pi ;x=\pm \arccos \frac{-1\pm \sqrt{5}}{4}+k2\pi \left(k\in Z\right)$

C. $x=k2\pi ;x=\pm \mathrm{arcs}in\frac{1\pm \sqrt{5}}{4}+k2\pi \left(k\in Z\right)$

D. Vô nghiệm

A. $x=\frac{n\pi }{2};x=\frac{\pi }{20}+\frac{k\pi }{13}\left(k,n\in Z\right)$

B. $x=\frac{n\pi }{2};x=\frac{\pi }{20}+\frac{k\pi }{10}\left(k,n\in Z\right)$

C. $x=n\pi ;x=\frac{3\pi }{5}+\frac{2k\pi }{7}\left(k,n\in Z\right)$

D. $x=n\pi ;x=\frac{3\pi }{5}+\frac{7k\pi }{13}\left(k,n\in Z\right)$

A. $x=-\frac{\pi }{6}+\frac{k\pi }{2};x=\frac{\pi }{12}+\frac{k\pi }{2}\left(k\in Z\right)$

B. $x=\frac{\pi }{12}+\frac{k\pi }{4}\left(k\in Z\right)$

C. $x=\pm \frac{\pi }{6}+k\pi ;x=-\frac{\pi }{12}+\frac{k\pi }{2}\left(k\in Z\right)$

D. $x=-\frac{\pi }{6}+k\pi ;x=-\frac{\pi }{12}+\frac{k\pi }{2}\left(k\in Z\right)$

A. $x=\pm \frac{\pi }{3}+k2\pi ;x=\frac{2\pi }{3}+k2\pi \left(k\in Z\right)$

B. $x=\frac{\pi }{4}+k\pi ;x=\frac{\pi }{6}+\mathrm{k\pi }\left(k\in Z\right)$

C. $x=\frac{\pi }{2}+k2\pi ;x=\frac{\pi }{3}+k2\pi ;x=\frac{2\pi }{3}+k2\pi \left(k\in Z\right)$

D. Đáp án khác

A. $x=-\frac{\pi }{18}+\frac{k\pi }{3};x=\frac{5\pi }{18}+\frac{k2\pi }{9}$

B. $x=\pm \frac{\pi }{18}+k2\pi ;x=\frac{5\pi }{18}+\frac{k2\pi }{3}$

C. $x=\frac{\pi }{8}+\frac{k\pi }{4};x=\frac{\pi }{18}+\frac{k2\pi }{3};x=\frac{5\pi }{18}+\frac{k2\pi }{3}$

D. $x=\frac{\pi }{8}+\frac{k\pi }{4};x=\frac{\pi }{18}+\frac{k\pi }{18};x=-\frac{5\pi }{18}+\frac{k\pi }{3}$

A. Vô nghiệm

B. $x=-\frac{\pi }{12}+\frac{k\pi }{2}\left(k\in Z\right)$

C. $x=\frac{2\pi }{3}+k\pi \left(k\in Z\right)$

D. $x=\frac{\mathrm{k\pi }}{12};x=\frac{2\pi }{3}+k\pi \left(k\in Z\right)$

A. $x=k\pi ,x=\frac{\pi }{6}+\frac{\mathrm{k\pi }}{3},x=\frac{\pi }{12}+\mathrm{k\pi },x=\frac{5\pi }{7}+\mathrm{k\pi }$

B. $x=k2\pi ,x=\frac{\pi }{3}+\frac{k2\pi }{3},x=\frac{\pi }{12}+\mathrm{k\pi },x=\frac{5\pi }{12}+\mathrm{k\pi }$

C. $x=k\pi ,x=\frac{\pi }{3}+\frac{k2\pi }{3},x=\frac{\pi }{12}+\mathrm{k\pi },x=\frac{5\pi }{12}+\mathrm{k\pi }$

D. $x=k2\pi ,x=\frac{\pi }{6}+\frac{k2\pi }{3},x=\frac{\pi }{12}+\mathrm{k\pi },x=\frac{7\pi }{12}+\mathrm{k\pi }$

A. $x=\frac{\pi }{6}+\frac{k2\pi }{3},x=\pm \frac{2\pi }{3}+2k\pi$

B. $x=\frac{k2\pi }{7},x=\frac{\pi }{3}+\frac{k2\pi }{3},x=\pm \frac{2\pi }{3}+k2\pi$

C. $x=\frac{k2\pi }{3},x=\frac{\pi }{3}+\frac{k2\pi }{3},x=\pm \frac{\pi }{7}+k2\pi$

D. $x=\frac{k2\pi }{7}+k\pi ,x=\frac{2\pi }{3}+\frac{k2\pi }{3}$

A. $x=\frac{\pi }{2}+k\pi ,x=\pm \frac{1}{5}\arccos \frac{1+\sqrt{17}}{8}+\mathrm{k\pi },x=\pm \frac{1}{5}\arccos \frac{1-\sqrt{17}}{8}+\mathrm{k\pi }$

B. $x=\pm \frac{1}{2}\arccos \frac{1+\sqrt{17}}{8}+\mathrm{k\pi },x=\pm \frac{1}{2}\arccos \frac{1-\sqrt{17}}{8}+\mathrm{k\pi }$

C. $x=\frac{\pi }{2}+k\pi ,x=\pm \frac{1}{2}\arccos \frac{1+\sqrt{15}}{7}+\mathrm{k\pi },x=\pm \frac{1}{2}\arccos \frac{1-\sqrt{15}}{7}+\mathrm{k\pi }$

D. $x=\frac{\pi }{2}+k\pi ,x=\pm \frac{1}{2}\arccos \frac{1+\sqrt{17}}{8}+\mathrm{k\pi },x=\pm \frac{1}{2}\arccos \frac{1-\sqrt{17}}{8}+\mathrm{k\pi }$

A. $x=\frac{\pi }{3}+k\pi$

B. $x=\frac{\pi }{3}+\frac{k\pi }{4}$

C. $x=\frac{\pi }{3}+2k\pi$

D. $x=\frac{k\pi }{4}$

A. $x=\pm \frac{\pi }{2}+2k\pi ,x=\frac{\pi }{3}+\frac{k2\pi }{3}$

B. $x=\frac{\pi }{2}+2k\pi ,x=\pm \frac{\pi }{3}+\frac{k2\pi }{3}$

C. $x=\frac{\pi }{2}+k\pi ,x=\frac{\pi }{3}+\frac{k2\pi }{3}$

D. $x=-\frac{\pi }{2}+k\pi ,x=\frac{\pi }{6}+\frac{k2\pi }{3}$