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Published on: 31/10/2022
QB365 provides a detailed and simple solution for every Possible Book Back Questions in Class 10 Maths Subject -Trigonometry , English Medium. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.
Download Tamil Nadu 10th Standard Maths 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 Maths Test1.
If (sin α + cosec α)2 + (cos α + sec α)2 = k + tan2α + cot2α, then the value of k is equal to
9
7
5
3
2.
The angle of elevation of a cloud from a point h metres above a lake is \(\beta \). The angle of depression of its reflection in the lake is 45°. The height of location of the cloud from the lake is
\(\frac { h\left( 1+tan\beta \right) }{ 1-tan\beta } \)
\(\frac { h\left( 1-tan\beta \right) }{ 1+tan\beta } \)
h tan(45°-\(\beta \))
none of these
3.
Two persons are standing ‘x’ metres apart from each other and the height of the first person is double that of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the shorter person (in metres) is
\(\sqrt { 2 } \) x
\(\frac { x }{ 2\sqrt { 2 } } \)
\(\frac { x }{ \sqrt { 2 } } \)
2x
4.
The angle of depression of the top and bottom of 20 m tall building from the top of a multistoried building are 30° and 60° respectively. The height of the multistoried building and the distance between two buildings (in metres) is
20, 10\(\sqrt { 3 } \)
30, 5\(\sqrt { 3 } \)
20, 10
30, 10\(\sqrt { 3 } \)
5.
A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30°, then x is equal to
41.92 m
43.92 m
43 m
45.6 m
6.
The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the pole is 60°. The height of the pole (in metres) is equal to
\(\sqrt { 3 } \) b
\(\frac { b }{ 3 } \)
\(\frac { b }{ 2 } \)
\(\frac { b }{ \sqrt { 3 } } \)
7.
8.
a cot \(\theta \) + b cosec\(\theta \) = p and b cot \(\theta \) + a cosec\(\theta \) = q then p2- q2 is equal to
a2 - b2
b2 - a2
a2 + b2
b - a
9.
(1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to
0
1
2
-1
10.
If x = a tan\(\theta \) and y = b sec\(\theta \) then
\(\frac { { y }^{ 2 } }{ { b }^{ 2 } } -\frac { { x }^{ 2 } }{ { a }^{ 2 } } =1\)
\(\frac { x^{ 2 } }{ a^{ 2 } } -\frac { y^{ 2 } }{ b^{ 2 } } =1\)
\(\frac { x^{ 2 } }{ a^{ 2 } } +\frac { y^{ 2 } }{ b^{ 2 } } =1\)
\(\frac { x^{ 2 } }{ a^{ 2 } } -\frac { y^{ 2 } }{ b^{ 2 } } =0\)
11.
If sin \(\theta \) = cos \(\theta \), then 2 tan2 \(\theta \) + sin2 \(\theta \) -1 is equal to
\(\frac { -3 }{ 2 } \)
\(\frac { 3 }{ 2 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { -2 }{ 3 } \)
12.
If 5x = sec\(\theta \) and \(\frac { 5 }{ x } \) = tan\(\theta \), then x2 - \(\frac { 1 }{ { x }^{ 2 } } \) is equal to
25
\(\frac { 1 }{ 25 } \)
5
1
13.
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a2 - 1) is equal to
2a
3a
0
2ab
14.
tan \(\theta \) cosec2\(\theta \) - tan\(\theta \) is equal to
sec\(\theta \)
\(cot^{ 2 }\theta \)
sin\( \theta \)
\(cot\theta \)
15.
The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to
\(ta{ n }^{ 2 }\theta \)
1
\(cot^{ 2 }\theta \)
0
1.
(b)
7
2.
(a)
\(\frac { h\left( 1+tan\beta \right) }{ 1-tan\beta } \)
3.
(b)
\(\frac { x }{ 2\sqrt { 2 } } \)
4.
(d)
30, 10\(\sqrt { 3 } \)
5.
(b)
43.92 m
6.
(b)
\(\frac { b }{ 3 } \)
7.
(d)
8.
(b)
b2 - a2
9.
(c)
2
10.
(a)
\(\frac { { y }^{ 2 } }{ { b }^{ 2 } } -\frac { { x }^{ 2 } }{ { a }^{ 2 } } =1\)
11.
(b)
\(\frac { 3 }{ 2 } \)
12.
(b)
\(\frac { 1 }{ 25 } \)
13.
(a)
2a
14.
(d)
\(cot\theta \)
15.
(b)
1
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
