40 câu trắc nghiệm ôn tập Chương 6 Đại số 10

A. 240⁰

B. 135⁰

C. 72⁰

D. 270⁰

A. \(\sqrt 3 \)

B. \(-\sqrt 3 \)

C. \(\frac{{\sqrt 3 }}{3}\)

D. \(-\frac{{\sqrt 3 }}{3}\)

A. \( - \frac{{3\sqrt 5 }}{5}\)

B. \(1 - \sqrt 5 \)

C. \(\frac{{3\sqrt 5 }}{2}\)

D. \(\frac{{\sqrt 5  - 1}}{2}\)

A. \(P=\cos x+\sin x\)

B. \(P=\cos x-\sin x\)

C. \(P=\cos 2x-\sin 2x\)

D. \(P=\cos 2x+\sin 2x\)

A. \(\sin \alpha .\cos \alpha  =  - \frac{1}{4}\)

B. \(\sin \alpha  - \cos \alpha  =  \pm \frac{{\sqrt 6 }}{2}\)

C. \({\sin ^4}\alpha  + {\cos ^4}\alpha  = \frac{7}{8}\)

D. \({\tan ^2}\alpha  + {\cot ^2}\alpha  = 12\)

A. P = - 1

B. P = 1

C. P = 4

D. P = - 4

A. 1

B. - 1

C. \(\frac{1}{4}\)

D. \(-\frac{1}{4}\)

A. 2

B. - 2

C. 1

D. - 1

A. \( - \frac{5}{{13}};\frac{2}{3}\)

B. \(\frac{2}{3}; - \frac{5}{{12}}\)

C. \( - \frac{5}{{13}};\frac{5}{{12}}\)

D. \(\frac{5}{{13}}; - \frac{5}{{12}}\)

A. 2

B. - 2

C. 1

D. - 1

A. \(\tan \alpha  > 0,\cot \alpha  > 0\)

B. \(\tan \alpha  < 0,\cot \alpha  < 0\)

C. \(\tan \alpha  > 0,\cot \alpha  < 0\)

D. \(\tan \alpha  < 0,\cot \alpha  > 0\)

A. 2

B. - 2

C. 3

D. - 3

A. 6

B. 8

C. 10

D. 12

A. \(\frac{{5 - \sqrt 7 }}{4}\) và \(\frac{{5 + \sqrt 7 }}{4}\)

B. \(\frac{{5 - \sqrt 5 }}{4}\) và \(\frac{{5 + \sqrt 5 }}{4}\)

C. \(\frac{{2 - \sqrt 3 }}{5}\) và \(\frac{{2 + \sqrt 3 }}{5}\)

D. \(\frac{{3 - \sqrt 2 }}{5}\) và \(\frac{{3 + \sqrt 2 }}{5}\)

A. \(P = {\sin ^2}x\)

B. \(P = {\cos ^2}x\)

C. \(P =- {\sin ^2}x\)

D. \(P = -{\cos ^2}x\)

A. \(\sin \left( {{{180}^0} - a} \right) =  - \cos a\)

B. \(\sin \left( {{{180}^0} - a} \right) =  - \sin a\)

C. \(\sin \left( {{{180}^0} - a} \right) =  \sin a\)

D. \(\sin \left( {{{180}^0} - a} \right) =   \cos a\)

A. \(\sin \left( {\frac{\pi }{2} - x} \right)=\cos x\)

B. \(\sin \left( {\frac{\pi }{2} + x} \right)=\cos x\)

C. \(\tan \left( {\frac{\pi }{2} - x} \right)=\cot x\)

D. \(\tan \left( {\frac{\pi }{2} + x} \right) = \cot x\)

A. A = 2

B. A = - 2

C. A = 1

D. A = - 1

A. B = - 1

B. B = 1

C. \(B =  - \frac{1}{2}\)

D. \(B =  \frac{1}{2}\)

A. \({ - 3 - \sqrt 3 }\)

B. \({ 2 - 3\sqrt 3 }\)

C. \(\frac{{2\sqrt 3 }}{{\sqrt 3  - 1}}\)

D. \(\frac{{1 - \sqrt 3 }}{{\sqrt 3 }}\)

A. 0

B. 1

C. 2

D. - 1

A. \(\sin \frac{{A + C}}{2} = \cos \frac{B}{2}\)

B. \(\cos \frac{{A + C}}{2} = \sin \frac{B}{2}\)

C. \(\sin \left( {A + B} \right) = \sin C\)

D. \(\cos \left( {A + B} \right) = \cos C\)

A. \(A = 2\sin \alpha \)

B. \(A = 2\cos \alpha \)

C. \(A = \sin \alpha  - \cos \alpha \)

D. A = 0

A. 1

B. 2

C. - 1

D. 0

A. \(\sin \frac{{A + B + 3C}}{2} = \cos C\)

B. \(\cos \left( {A + B - C} \right) =  - \cos 2C\)

C. \(\tan \frac{{A + B - 2C}}{2} = \cot \frac{{3C}}{2}\)

D. \(\cot \frac{{A + B + 2C}}{2} = \tan \frac{{3C}}{2}\)

A. \(\frac{{\sqrt 3 }}{2}\)

B. \(\frac{1}{2}\)

C. \(\frac{{\sqrt 2 }}{2}\)

D. \(-\frac{{\sqrt 2 }}{2}\)

A. \(\sin \alpha  =  - \frac{4}{{\sqrt {41} }};\cos \alpha  =  - \frac{5}{{\sqrt {41} }}\)

B. \(\sin \alpha  = \frac{4}{{\sqrt {41} }};\cos \alpha  = \frac{5}{{\sqrt {41} }}\)

C. \(\sin \alpha  =  - \frac{4}{{\sqrt {41} }};\cos \alpha  = \frac{5}{{\sqrt {41} }}\)

D. \(\sin \alpha  = \frac{4}{{\sqrt {41} }};\cos \alpha  =  - \frac{5}{{\sqrt {41} }}\)

A. \(\cot x = \frac{4}{3}\)

B. \(\cos x = \frac{3}{5}\)

C. \(\sin x = \frac{3}{5}\)

D. \(\sin x = -\frac{4}{5}\)

A. 0

B. 2

C. 4

D. 8

A. \( - \frac{4}{9}\)

B. \( \frac{4}{{19}}\)

C. \( - \frac{4}{{19}}\)

D. \(  \frac{4}{9}\)

A. \( - \frac{8}{{13}}\)

B. \(\frac{2}{{19}}\)

C. \(-\frac{2}{{19}}\)

D. \(-\frac{8}{{19}}\)

A. \(\sin \left( {A + C} \right) =  - \sin B\)

B. \(\cos \left( {A + C} \right) =  - \cos B\)

C. \(\tan \left( {A + C} \right) = \tan B\)

D. \(\cot \left( {A + C} \right) = \cot B\)

A. \(\sin C =  - \sin \left( {A + B} \right)\)

B. \(\cos C = \cos \left( {A + B} \right)\)

C. \(\tan C = \tan \left( {A + B} \right)\)

D. \(\cot C =  - \cot \left( {A + B} \right)\)

A. \(\sin \left( {\frac{{A + B}}{2}} \right) = \sin \frac{C}{2}\)

B. \(\cos \left( {\frac{{A + B}}{2}} \right) =  - \cos \frac{C}{2}\)

C. \(\tan \left( {\frac{{A + B}}{2}} \right) = \cot \frac{C}{2}\)

D. \(\cot \left( {\frac{{A + B}}{2}} \right) = \cot \frac{C}{2}\)

A. - 1

B. 0

C. 1

D. 5

A. \(M = 1 + 3{\sin ^2}x.{\cos ^2}x\)

B. \(M = 1 + 3{\sin ^2}2x\)

C. \(M = 1 - \frac{3}{2}{\sin ^2}2x\)

D. \(M = 1 - \frac{1}{4}{\sin ^2}2x\)

A. \(\tan {15^0} = 2 - \sqrt 3 \)

B. \(\sin {15^0} = \frac{{\sqrt 6  - \sqrt 2 }}{4}\)

C. \(\sin {15^0} = \frac{{\sqrt 6  - \sqrt 2 }}{4}\)

D. \({\tan ^2}{15^0} + {\cot ^2}{15^0} = 14\)

A. \(\frac{{34}}{{11}}\)

B. \(\frac{{32}}{{11}}\)

C. \(\frac{{31}}{{11}}\)

D. \(\frac{{30}}{{11}}\)

A. 12

B. 14

C. 16

D. 18