Đề kiểm tra 15 phút chương 1: Hàm số lượng giác và phương trình lượng giác - Đề số 1

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

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

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

\(\max y =  - 2,\min y = 4\)

\(\max y = 2,\min y = 4\)

\(\max y =  - 2,\min y = 3\)

\(D = \mathbb{R}\backslash \left\{ {\dfrac{\pi }{6} + \dfrac{{k\pi }}{3},k \in \mathbb{Z}} \right\}\)

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

\(D = \mathbb{R}\backslash \left\{ {\dfrac{{k\pi }}{2},k \in \mathbb{Z}} \right\}\)

\(\left[ \begin{array}{l}x = \alpha  + k\pi \\x = \pi  - \alpha  + k\pi \end{array} \right.\left( {k \in Z} \right)\)    

\(\left[ \begin{array}{l}x = \alpha  + k2\pi \\x =  - \alpha  + k2\pi \end{array} \right.\left( {k \in Z} \right)\)      

\(\left[ \begin{array}{l}x = \alpha  + k\pi \\x =  - \alpha  + k\pi \end{array} \right.\left( {k \in Z} \right)\)

\(\left[ \begin{array}{l}x = \dfrac{\pi }{6} + k2\pi \\x = \dfrac{{5\pi }}{6} + k2\pi \end{array} \right.\left( {k \in Z} \right)\)          

\(\left[ \begin{array}{l}x = \dfrac{\pi }{6} + k2\pi \\x =  - \dfrac{\pi }{6} + k2\pi \end{array} \right.\left( {k \in Z} \right)\)

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

\(y = \tan x\)   

\(y = \sin x\)

\(y = \cos x\)

$k2\pi \left( {k \in Z} \right)$

$k2\pi ;\dfrac{\pi }{2} + k2\pi \left( {k \in Z} \right)$

$k\pi ;\dfrac{\pi }{2} + k2\pi \left( {k \in Z} \right)$

\(D = \mathbb{R}\backslash \left\{ {\dfrac{\pi }{8} + \dfrac{{k\pi }}{2},k \in \mathbb{Z}} \right\}\)

\(D = \mathbb{R}\backslash \left\{ {\dfrac{{3\pi }}{8} + k\pi ,k \in \mathbb{Z}} \right\}\)

\(D = \mathbb{R}\backslash \left\{ {\dfrac{{3\pi }}{4} + \dfrac{{k\pi }}{2},k \in \mathbb{Z}} \right\}\) 

\(\max y = \sqrt 5 ,\min y = 0\)

\(\max y = \sqrt 5 ,\min y = \sqrt 3 \)

\(\max y = \sqrt 5 ,\min y = 3\) 

\(\min y =  - 5;\max y = 5\)

\(\min y =  - 3;\max y = 4\)      

\(\min y =  - 6;\max y = 6\)

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

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

\(R\)

\(x = k2\pi ,x = \dfrac{\pi }{2} + k2\pi \left( {k \in Z} \right)\)

\(x = k\pi ,x = \dfrac{\pi }{4} + k\pi \left( {k \in Z} \right)\)

\(x = \dfrac{\pi }{8} + \dfrac{{k\pi }}{2},x =  - \dfrac{\pi }{4} + k\pi \left( {k \in Z} \right)\)