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question_answer1)
The value of sin\[\theta \] in the adjoining figure is
A)
\[\frac{12}{5}\] done
clear
B)
\[\frac{12}{13}\] done
clear
C)
\[\frac{13}{12}\] done
clear
D)
\[\frac{5}{12}\] done
clear
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question_answer2)
In the given figure the value of \[\mathbf{cos}\phi \]is
A)
\[\frac{12}{5}\] done
clear
B)
\[\frac{5}{12}\] done
clear
C)
\[\frac{13}{5}\] done
clear
D)
\[\frac{12}{13}\] done
clear
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question_answer3)
In the given figure below, what is the value of SQ?
A)
\[\frac{10}{\sqrt{3}}m\] done
clear
B)
\[10\sqrt{3}m\] done
clear
C)
\[\frac{20}{\sqrt{3}}m\] done
clear
D)
30 m done
clear
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question_answer4)
In the given figure below, the value of AB is
A)
10.8 done
clear
B)
8.6 done
clear
C)
6.8 done
clear
D)
7.8 done
clear
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question_answer5)
In the adjoining figure, the value of \[\mathbf{sec1}{{\mathbf{7}}^{{}^\circ }}-\mathbf{sin7}{{\mathbf{3}}^{{}^\circ }}\]is
A)
\[\frac{y}{x\sqrt{{{y}^{2}}-{{x}^{2}}}}\] done
clear
B)
\[\frac{{{x}^{2}}}{y\sqrt{{{y}^{2}}-{{x}^{2}}}}\] done
clear
C)
\[\frac{{{x}^{2}}}{y\sqrt{{{x}^{2}}-{{y}^{2}}}}\] done
clear
D)
\[\frac{{{y}^{2}}}{x\sqrt{{{x}^{2}}-{{y}^{2}}}}\] done
clear
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question_answer6)
In the given figure, what is the value of \[\mathbf{tan}\theta \]?
A)
\[\frac{p}{q}\] done
clear
B)
C)
pq done
clear
D)
\[{{P}^{2}}{{V}^{2}}\] done
clear
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question_answer7)
In the given figure the value of \[\frac{1+2\sin \theta .\cos \theta }{1-2\sin \theta .\cos \theta }\] is
A)
810 done
clear
B)
540 done
clear
C)
900 done
clear
D)
490 done
clear
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question_answer8)
In the given figure what is the value of\[\mathbf{3sin}\theta +\mathbf{4cos}\theta \]?
A)
3 done
clear
B)
4 done
clear
C)
5 done
clear
D)
1 done
clear
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question_answer9)
If \[se{{c}^{2}}\theta +ta{{n}^{2}}\theta =\sqrt{2}\], then the value of \[\left( \mathbf{se}{{\mathbf{c}}^{\mathbf{4}}}\theta -\mathbf{ta}{{\mathbf{n}}^{\mathbf{4}}}\theta \right)\] is
A)
\[\frac{1}{\sqrt{3}}\] done
clear
B)
1 done
clear
C)
\[\sqrt{2}\] done
clear
D)
0 done
clear
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question_answer10)
If \[\mathbf{2}\beta \mathbf{sin}\theta =\alpha \mathbf{cos}\theta \] and \[\mathbf{2}\alpha \mathbf{cosec}\theta -\beta \mathbf{sec}\theta =\mathbf{3}\] then what is the value of\[\left( {{\alpha }^{\mathbf{2}}}+\mathbf{4}{{\beta }^{\mathbf{2}}} \right)\]?
A)
4 done
clear
B)
1 done
clear
C)
2 done
clear
D)
5 done
clear
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question_answer11)
In the given figure \[\frac{2\tan \theta }{1-{{\tan }^{2}}\theta }\]is equal to
A)
\[cos{{60}^{{}^\circ }}\] done
clear
B)
\[sin{{60}^{{}^\circ }}\] done
clear
C)
\[tan{{60}^{{}^\circ }}\] done
clear
D)
\[sin{{30}^{{}^\circ }}\] done
clear
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question_answer12)
In the given figure \[\mathbf{sin}\theta =\]?
A)
\[\frac{m+n}{m-n}\] done
clear
B)
\[\frac{m+n}{2\sqrt{m+n}}\] done
clear
C)
\[\frac{m-n}{m+n}\] done
clear
D)
\[\frac{m+n}{3\sqrt{m+n}}\] done
clear
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question_answer13)
If sin \[\mathbf{A}=\frac{5}{13},\]then match the column.
Column I | Column II |
A | Cos A | P | 12/13 |
B | Tan A | Q | 5/12 |
C | Cosec A | R | 13/5 |
D | Sec A | S | 13/12 |
A)
(A-P, B-Q, C-R, D-S) done
clear
B)
(A-Q, B-R, C-S, D-P) done
clear
C)
(A-R, B-Q, C-S, D-P) done
clear
D)
(A-P, B-Q, C-S, D-R) done
clear
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question_answer14)
If cosec \[\mathbf{A}=\sqrt{5}\] then match the column.
Column I | Column II |
A | Tan A | P | \[2/\sqrt{5}\] |
B | Sin A | Q | \[\frac{3}{2}\] |
C | Cos A | R | \[\frac{1}{\sqrt{5}}\] |
D | \[\frac{1}{\tan A}+\frac{\sin A}{1+\cot A}\] | S | \[\frac{1}{2}\] |
A)
(A-P, B-Q, C-R, D-S) done
clear
B)
(A-S, B-R, C-P, D-Q) done
clear
C)
(A-P, B-Q, C-S, D-R) done
clear
D)
(A-P, B-S, C-Q, D-R) done
clear
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question_answer15)
In the given figure, tan P. cot R =?
A)
1 done
clear
B)
0 done
clear
C)
\[\frac{25}{144}\] done
clear
D)
\[\frac{144}{25}\] done
clear
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question_answer16)
The value of \[\mathbf{tan}{{\mathbf{4}}^{o}}.\mathbf{tan4}{{\mathbf{3}}^{o}}.\mathbf{tan4}{{\mathbf{7}}^{o}}.\mathbf{tan8}{{\mathbf{6}}^{o}}\]is
A)
2 done
clear
B)
3 done
clear
C)
1 done
clear
D)
4 done
clear
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question_answer17)
If \[\mathbf{tan}\alpha =\mathbf{ytan}\beta \] and sin \[\sin \alpha =\mathbf{xsin}\beta ,\]then \[co{{s}^{2}}\alpha \]is
A)
\[\frac{{{x}^{2}}}{{{y}^{2}}+1}\] done
clear
B)
\[\frac{{{x}^{2}}}{{{y}^{2}}}\] done
clear
C)
\[\frac{{{x}^{2}}-1}{{{y}^{2}}-1}\] done
clear
D)
\[\frac{{{x}^{2}}+1}{{{y}^{2}}+1}\] done
clear
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question_answer18)
The product \[\mathbf{cos}{{\mathbf{1}}^{{}^\circ }}\mathbf{cos}{{\mathbf{2}}^{{}^\circ }}\mathbf{cos}{{\mathbf{3}}^{{}^\circ }}\mathbf{cos}{{\mathbf{4}}^{{}^\circ }}.....\mathbf{cos18}{{\mathbf{0}}^{{}^\circ }}\]is equal to
A)
-1 done
clear
B)
\[\frac{1}{4}\] done
clear
C)
1 done
clear
D)
0 done
clear
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question_answer19)
The simplified value of \[{{\left( \mathbf{secx}\,\mathbf{secy}+\mathbf{tanx}\text{ }\mathbf{tany} \right)}^{2}}-{{\left( \mathbf{secx}\,\mathbf{tany}+\mathbf{tanx}\,\mathbf{secy} \right)}^{2}}\] is
A)
-1 done
clear
B)
0 done
clear
C)
\[se{{c}^{2}}x\] done
clear
D)
1 done
clear
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question_answer20)
The value of \[\frac{\sin \theta }{1+\cos \theta }+\frac{\sin \theta }{1\cos \theta }\] is \[\left( {{0}^{{}^\circ }}<\theta <{{90}^{{}^\circ }} \right)\]
A)
\[2cosec\theta \] done
clear
B)
\[2sec\theta \] done
clear
C)
\[2sin\theta \] done
clear
D)
\[2cos\theta \] done
clear
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