Hỏi đáp về Chương I Hàm số lượng giác và Phương trình lượng giác

A.\(\left\{ {k\dfrac{\pi }{3};k \in \mathbb{Z}} \right\}\)

B.\(\mathbb{R}\backslash \left\{ {k\dfrac{{2\pi }}{3};k \in \mathbb{Z}} \right\}\)

C.\(\left\{ {\dfrac{{k2\pi }}{3};k \in \mathbb{Z}} \right\}\)

D.\(\mathbb{R}\backslash \left\{ {\dfrac{{k\pi }}{3};k \in \mathbb{Z}} \right\}\)

A. \(y = \sin x\)                     

B. \(y = \cot x\)    

C. \(y = \tan x\)                    

D. \(y = \cos x\)       

A. \(x = \dfrac{\pi }{4} + k2\pi \).                               

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

C. \(x = \dfrac{\pi }{4}\).    

D. \(x = \dfrac{\pi }{4} + \dfrac{{k\pi }}{2}\).

A. \(M = 2\)   

B. \(M = 2\sqrt 2 \)    

C. \(M = 1\)               

D. \(M = \sqrt 2 \)

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

B. \(\cot x = \sqrt 3 .\)    

C. \(\tan x = \sqrt 3 .\)     

D. \(\sin \left( {x - \dfrac{\pi }{3}} \right) =  - \dfrac{1}{2}\)

A. \(x = \dfrac{\pi }{4} + k\pi \); \(x = \arctan ( - \dfrac{3}{2}) + k\pi ,k \in \mathbb{Z}\)

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

C. \(x = \dfrac{\pi }{4} + k\pi \);\(x = \arctan ( - 3) + k\pi ,k \in \mathbb{Z}\)

D. \(x = \arctan ( - \dfrac{3}{2}) + k\pi ,k \in \mathbb{Z}\)

A. \(y = \sin x - \cos x\).

B. \(y = 2\sin x\).

C. \(y = 2\sin \left( { - x} \right)\).

D. \(y =  - 2\cos x\)

A. -9                                     

B. 0

C. 9                                      

D. -8

A. \(\mathbb{R}\backslash \left\{ {k\pi ,k \in \mathbb{Z}} \right\}\)        

B. \(\mathbb{R}\backslash \left\{ {\dfrac{\pi }{2} + k\pi ,k \in \mathbb{Z}} \right\}\)                 

C. \(\mathbb{R}\backslash \left\{ {\dfrac{\pi }{2} + k2\pi ,k \in \mathbb{Z}} \right\}\)               

D. \(\phi \)

A. m = 4                               

B. m = -2 

C. m = 3                               

D. m = 1

A.\(\,x = \dfrac{\pi }{8} + k2\pi ;x = \dfrac{{3\pi }}{8} + k2\pi (k \in Z)\)

B. \(\,x = \dfrac{\pi }{4} + k2\pi ;x = \dfrac{{3\pi }}{4} + k2\pi \,(k \in Z)\)

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

D. \(\,x = \dfrac{\pi }{8} + k\pi ;x = \dfrac{{3\pi }}{8} + k\pi ;k \in Z)\)

A. \(y = \sin \left| {2016x} \right| + c{\rm{os}}2017x\).    

B. \(y = 2016\cos x + 2017\sin x\).

C. \(y = \cot 2015x - 2016\sin x\). 

D. \(y = \tan 2016x + \cot 2017x\).

A. \(\left\{ { - \dfrac{\pi }{2} + k2\pi |k \in \mathbb{Z}} \right\}.\) 

B. \(\left\{ {\pi  + k2\pi |k \in \mathbb{Z}} \right\}.\)

C. \(\left\{ {\dfrac{\pi }{3} + \dfrac{{k2\pi }}{3}|k \in \mathbb{Z}} \right\}.\)       

D. \(\left\{ {\dfrac{{k2\pi }}{3}|k \in \mathbb{Z}} \right\}.\)

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

B. \(x = \dfrac{{5\pi }}{6} + k2\pi \).                          

C. \(x = \dfrac{\pi }{6} + k2\pi \).                               

D. \(x = \dfrac{\pi }{6} + k\pi \).

A. \(\mathbb{R}\backslash \left\{ {\dfrac{\pi }{6} + k2\pi ,k \in \mathbb{Z}} \right\}\)   

B. \(\mathbb{R}\backslash \left\{ {\dfrac{\pi }{6} + \dfrac{{k\pi }}{2},k \in \mathbb{Z}} \right\}\)

C. \(\mathbb{R}\backslash \left\{ {\dfrac{\pi }{6} + k\pi ,k \in \mathbb{Z}} \right\}\)     

D. \(\mathbb{R}\backslash \left\{ {\dfrac{{5\pi }}{{12}} + \dfrac{{k\pi }}{2},k \in \mathbb{Z}} \right\}\)

A. \(y = \sin x\)                        B. \(y = \cos x\)

C. \(y = \sin 2x\)                      D. \(y = \cot x\)

A. \(x = \dfrac{\pi }{3}.\)     

B. \(x = \dfrac{\pi }{{12}}.\)

C. \(x = \dfrac{\pi }{6}.\)     

D. \(x = \dfrac{{5\pi }}{6}.\)

A. Hàm số \(y = \sin x\) có chu kỳ \(T = \pi \)

B. Hàm số \(y = \cos x\) và hàm số \(y = \tan x\) có cùng chu kỳ.

C. Hàm số \(y = \cot x\) và hàm số \(y = \tan x\) có cùng chu kỳ.

D. Hàm số \(y = \cot x\) có chu kỳ \(T = 2\pi \)

A. \(x =  - \dfrac{\pi }{{12}} + k2\pi ,\;x = \dfrac{{5\pi }}{{12}} + k2\pi ,\;\left( {k \in \mathbb{Z}} \right).\)

B. \(x =  - \dfrac{\pi }{4} + k2\pi ,\;x = \dfrac{{3\pi }}{4} + k2\pi ,\;\left( {k \in \mathbb{Z}} \right).\)

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

D. \(x =  - \dfrac{\pi }{4} + k2\pi ,\;x =  - \dfrac{{5\pi }}{4} + k2\pi ,\;\left( {k \in \mathbb{Z}} \right).\)

A. \( - 3 \le m \le 2\)              

B. \(m > 2\)

C. \(m \ge  - 3\)                     

D. \(\dfrac{2}{{11}} \le m \le 2\)

A. \(x = \dfrac{\pi }{{15}} + k\dfrac{\pi }{5},\,k \in \mathbb{Z}\)

B.  \(x = \dfrac{\pi }{{15}} + k\pi ,\,k \in \mathbb{Z}\)

C. \(x = \dfrac{\pi }{{15}} + k\dfrac{\pi }{2},\,k \in \mathbb{Z}\)

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

A. \(\dfrac{\pi }{6}\)

B. \(\dfrac{\pi }{4}\)

C. \(\dfrac{{2\pi }}{3}\)

D. \(\dfrac{\pi }{3}\)