11th Standard Syllabus & Materials
11th Standard
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TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A
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Published on: 27/08/2019
Trigonometry
Download Tamil Nadu 11th Standard Business Maths and Statistics question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Business Maths and Statistics Test

1.
If sin A + cos A = 1, then sin 2A is equal to _______.
1
2
0
\(\frac{1}{2}\)
2.
The value of sec A sin(270o + A) is ______.
-1
cos2 A
sec2 A
1
3.
The value of sin 15o cos 15o is ______.
1
\(\frac{1}{2}\)
\(\frac{\sqrt3}{2}\)
\(\frac{1}{4}\)
4.
The value of \(\sin 28^o\cos 17^o+\cos 28^o\sin 17^o\) is _______.
\(\frac{1}{\sqrt2}\)
1
\(\frac{-1}{\sqrt2}\)
0
5.
The value of \(\cos(-480^o)\) is ________.
\(\sqrt3\)
\(-\frac{\sqrt3}{2}\)
\(\frac{1}{2}\)
\(\frac{-1}{2}\)
6.
The value of \(\sin(-420^o)\) is _______.
\(\frac{\sqrt3}{2}\)
\(-\frac{\sqrt3}{2}\)
\(\frac{1}{2}\)
\(\frac{-1}{2}\)
7.
The value of \(\sin15^o\) is ______.
\(\frac{\sqrt{3}+1}{2\sqrt{2}}\)
\(\frac{\sqrt{3}-1}{2\sqrt{2}}\)
\(\frac{\sqrt3}{\sqrt2}\)
\(\frac{\sqrt3}{2\sqrt2}\)
8.
If \(\tan\theta=\frac{1}{\sqrt5}\) and \(\theta\) lies in the first quadrant, then \(\cos\theta\) is _______.
\(\frac{1}{\sqrt6}\)
\(\frac{-1}{\sqrt6}\)
\(\frac{\sqrt5}{\sqrt6}\)
\(\frac{-\sqrt5}{\sqrt6}\)
9.
The radian measure of 37o30' is ______.
\(\frac{5\pi}{24}\)
\(\frac{3\pi}{24}\)
\(\frac{7\pi}{24}\)
\(\frac{9\pi}{24}\)
10.
The degree measure of \(\frac{\pi}{8}\) is ______.
20o60'
22o30'
20o60'
20o30'
1.
\((\sin A+\cos A)^2=1\)
\(\sin ^2 \mathrm{~A}+\cos ^2 \mathrm{~A}+2 \sin \mathrm{A} \cos \mathrm{A}=1\)
\(1+\sin 2 \mathrm{~A}=1 \Rightarrow \sin 2 \mathrm{~A}=0\)
2.
\(\sec A(-\cos A)=\frac{1}{\cos A}(-\cos A)=-1\)
3.
\(\frac{1}{2}\left(2 \sin 15^{\circ} \cos 15^{\circ}\right) =\frac{1}{2} \sin 2\left(15^{\circ}\right)=\frac{1}{2} \sin 30^{\circ} =\frac{1}{2} \times \frac{1}{2}=\frac{1}{4}\)
4.
\(\sin (28+17)=\sin 45^{\circ}=\frac{1}{\sqrt{2}}\)
5.
\(\cos \left(-480^{\circ}\right) =\cos 480^{\circ}=\cos \left(360^{\circ}+120^{\circ}\right) \)
\(=\cos 120^{\circ}=\cos \left(180^{\circ}-60^{\circ}\right) \)
\(=-\cos 60^{\circ}=-1 / 2 \)
6.
\(\sin \left(-420^{\circ}\right) =-\sin 420^{\circ}=-\sin (360+60) =-\sin 60^{\circ}=\frac{-\sqrt{3}}{2} \)
7.
\(\sin15^o = \sin(45^o - 30^o) = \sin45^o \cos 30^o - \cos 45^o \sin 30^o\)
\(= \frac{\sqrt{3}}{2\sqrt{2}} - \frac{1}{2\sqrt{2}}\)
8.
\(\sec \theta =\sqrt{1+\tan ^2 \theta}=\sqrt{1+\frac{1}{5}}=\sqrt{\frac{6}{5}} \)
9.
\(37^{\circ} 30^{\prime}=37 \frac{1}{2}^{\circ}=\frac{75}{2} \times \frac{\pi}{180}=\frac{5 \pi}{24}\)
10.
\(\frac{\pi}{8}=\frac{180^{\circ}}{8}=22 \frac{1}{2}^{\circ}=22^{\circ} 30^{\prime}\)
11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - உரைநடை - மலை இடப்பெயர்கள் : ஓர் ஆய்வு Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
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Tamilnadu Stateboard 11th Standard Subjects

Maths

Commerce

Economics

Biology

Business Maths and Statistics

Accountancy

Computer Science

Physics

Chemistry

Maths

Biology

Economics

Physics

Chemistry

History

Business Maths and Statistics

Computer Science

Accountancy

Computer Applications

History

Computer Technology

Commerce

Computer Applications

Computer Technology

Tamil

English

French
Tamilnadu Stateboard Standards