11 Bài tập Tìm tập xác định của hàm số lượng giác (có lời giải)

A. \(D = \mathbb{R}\backslash \left\{ {\frac{\pi }{2} + k\pi |k \in \mathbb{Z}} \right\}\);

B. \(D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{2}|k \in \mathbb{Z}} \right\}\);

C. \(D = \mathbb{R}\);

D. \(D = \mathbb{R}\backslash \left\{ {\frac{\pi }{4} + \frac{{k\pi }}{2}|k \in \mathbb{Z}} \right\}\).

A. \(D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{4}|k \in \mathbb{Z}} \right\}\);

B. \(D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{8}|k \in \mathbb{Z}} \right\}\);

C. \(D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{2}|k \in \mathbb{Z}} \right\}\);

D. \(D = \mathbb{R}\backslash \left\{ {k\pi |k \in \mathbb{Z}} \right\}\).

A. \[D = \mathbb{R}\backslash \left\{ {\frac{\pi }{2} + k\pi |k \in \mathbb{Z}} \right\}\];

B. \(D = \mathbb{R}\backslash \left\{ {k\pi |k \in \mathbb{Z}} \right\}\);

C. \(D = \mathbb{R}\);

D. \(D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{2}| \in \mathbb{Z}} \right\}\).

A. \(D = \mathbb{R}\backslash \left\{ { - \frac{{2\pi }}{3} + k\pi |k \in \mathbb{Z}} \right\}\);

B. \(D = \mathbb{R}\backslash \left\{ {\frac{\pi }{2} + k\pi |k \in \mathbb{Z}} \right\}\);

C. \(D = \mathbb{R}\backslash \left\{ { - \frac{\pi }{6} + k\pi |k \in \mathbb{Z}} \right\}\);

D. \(D = \mathbb{R}\backslash \left\{ {k\pi |k \in \mathbb{Z}} \right\}\).

A. \(D = \mathbb{R}\backslash \left\{ {\frac{\pi }{2} + k\pi |k \in \mathbb{Z}} \right\}\);

B. \(D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{2}|k \in \mathbb{Z}} \right\}\);

C. \(D = \mathbb{R}\);

D. \(D = \mathbb{R}\backslash \left\{ {\frac{\pi }{4} + \frac{{k\pi }}{2}|k \in \mathbb{Z}} \right\}\).

A. \[D = \mathbb{R}\backslash \left\{ {\frac{\pi }{2} + k2\pi |k \in \mathbb{Z}} \right\}\];

B. \(D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{2}|k \in \mathbb{Z}} \right\}\);

C. \[D = \mathbb{R}\backslash \left\{ {k\pi ;\frac{\pi }{2} + k2\pi |k \in \mathbb{Z}} \right\}\];

D. \(D = \mathbb{R}\backslash \left\{ {\frac{\pi }{2} + \frac{{k\pi }}{2}|k \in \mathbb{Z}} \right\}\).

A. 1;

B. 2;

A. \[D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{3}|k \in \mathbb{Z}} \right\}\];

B. \(D = \mathbb{R}\backslash \left\{ {k\pi |k \in \mathbb{Z}} \right\}\);

C. \[D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{4}|k \in \mathbb{Z}} \right\}\];

D. \(D = \mathbb{R}\backslash \left\{ {\frac{{k\pi }}{2}|k \in \mathbb{Z}} \right\}\).

A. \(y = 2\cos \sqrt x \);

B. \(y = \frac{{\tan 2x}}{{{{\sin }^2}x + 1}}\);

C. \(y = \cos \frac{1}{x}\);

D. \(y = \sqrt {\frac{{\sin 2x + 3}}{{\cos 4x + 5}}} \).

A. –1 ≤ m ≤ 1;

B. –1 < m < 1;

A. [–1; 1];

B. (– ∞; –1) ∪ (1; + ∞);