- Hàm số lượng giác (có lời giải chi tiết)

A \(\pi \)

B \(2\pi \)

C \(\frac{\pi }{2}\)

D \(4\pi \)

A \(y = \sin 2x\)

B \(y = \tan \frac{x}{2}\)

C \(y = \cot ( - x)\)

D \(y = \cos (3x)\)

A \(2\pi \)

B \(\pi \)

C \(3\pi \)

D \(4\pi \)

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

B \(\mathbb{R}\backslash \left\{ 1 \right\}\)

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

D \(\mathbb{R}\backslash \left\{ {0;\pi } \right\}\)

A \(\frac{\pi }{2} \le x \le \frac{{3\pi }}{2}\)  

B \( - \frac{\pi }{2} + k2\pi  \le x \le \frac{\pi }{2} + k2\pi ;k \in \mathbb{Z}\)

C \( - \frac{\pi }{2} \le x \le \frac{\pi }{2}\)   

D \(\frac{\pi }{2} + k2\pi  \le x \le \frac{{3\pi }}{2} + k2\pi ;k \in \mathbb{Z}\)

A \(x \ne \frac{\pi }{2} + k2\pi \)

B \(x \ne \frac{\pi }{2} + k\pi \)

C \(x \ne  - \frac{\pi }{2} + k2\pi \)

D \(x \ne k\pi \)

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

B \(x \ne \frac{{5\pi }}{{12}} + k\pi \)     

C \(x \ne \frac{\pi }{2} + k\pi \)

D \(x \ne \frac{{5\pi }}{{12}} + k\frac{\pi }{2}\)

A \(f\left[ {\sin \left( {-{\rm{ }}x} \right)} \right]{\rm{ }} = {\rm{ }}-{\rm{ }}f\left( {\sin x} \right)\)

B \(f\left[ {\cos \left( { - x} \right)} \right] = f\left( {\cos x} \right)\)

C \(\sin \left[ {{\rm{ }}f\left( {-{\rm{ }}x} \right)} \right]{\rm{ }} = {\rm{ }}\sin \left[ {{\rm{ }}f\left( x \right){\rm{ }}} \right]\)

D \(\cos \left[ {{\rm{ }}f\left( {--{\rm{ }}x} \right)} \right]{\rm{ }} = {\rm{ }}\cos \left[ {{\rm{ }}f\left( x \right){\rm{ }}} \right]\)

A \({\rm{x}} \ne k2\pi \)

B \({\rm{x}} = \frac{\pi }{3} + k2\pi \)

C \(\left\{ \begin{array}{l}{\rm{x}} \ne \frac{\pi }{2} + k\pi \\x \ne k2\pi \end{array} \right.\)

D \(\left\{ \begin{array}{l}{\rm{x}} \ne \frac{\pi }{2} + k\pi \\x \ne \frac{\pi }{3} + k\pi \end{array} \right.\)

A \(\frac{{{\pi ^2}}}{2}\)

B \({\pi ^2}\)

C \(3{\pi ^2}\)

D \(\pi \)

A T = 2\(\pi \)

B T = \(\pi \)

C T = \(\frac{\pi }{2}\)

D T = 4\(\pi \)

A T = 4\(\pi \)

B T = 2\(\pi \)

C T = \(\frac{\pi }{4}\)

D T = \(\frac{\pi }{2}\)

A \(y = x.\cos 3x\)

B \(y = \sin x({x^4} + 1)\)

C \(y = \frac{{\cos x}}{{1 + {x^2}}}\)

D \(y = \frac{{\tan x}}{{1 + {x^2}}}\)

A \(y = (1 + {x^2})\sin x\)

B \(y = ({x^3} + x)\sin x\)

C \(y = \left| x \right|\cot 2x\)

D \(y = (3x + 1)\cos 2x\)

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

B \(\mathbb{R}\)  

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

D \(\mathbb{R}\backslash \left\{ \pi  \right\}\)

A T = 2\(\pi \)

B T = 4\(\pi \)

C T = \(\frac{\pi }{2}\)

D T = \(\pi \)

A \(m =  - \frac{1}{2}\)

B \(m =  \pm \frac{1}{2}\)

C \(m = \frac{1}{2}\)

D \(m \ne \frac{1}{2}\)

A 3

B 2

C 4

D 1