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Class VI
Class VII
Class VIII
Class IX
Class X
CBSE Grade X - Introduction to Trigonometry
Question
1
1.
Which of the following are true?
a)
cosec
2
θ
+
cot
2
θ
=
1
,
0 ≤ θ ≤ 90°
b)
cosec
2
θ
−
cot
2
θ
=
1
,
0 ≤ θ ≤ 90°
c)
sec
2
θ
−
tan
2
θ
=
1
,
0 ≤ θ ≤ 90°
d)
sin
2
θ
−
cos
2
θ
=
1
,
0 ≤ θ ≤ 90°
e)
sec
2
θ
+
tan
2
θ
=
1
,
0 ≤ θ ≤ 90°
f)
sin
2
θ
+
cos
2
θ
=
1
,
0 ≤ θ ≤ 90°
{d,b,c}
{b,c,f}
{a,b}
{e,a,f}
{d,c}
Question
2
2.
Express
tan
θ
in terms of
cot
θ
cot
θ
√
1
+
cot
2
θ
√
1
+
cot
2
θ
cot
θ
√
1
+
cot
2
θ
1
√
1
+
cot
2
θ
1
cot
θ
Question
3
3.
Given
tan
J
=
5
39
√
39
,
find
cos
J
1
8
√
39
1
5
√
39
8
5
5
8
8
39
√
39
Question
4
4.
sec
A
=
1
sin
A
1
tan
A
1
cot
A
1
cos
A
1
cosec
A
Question
5
5.
In
△LMN
, right angled at
M
,
if
LM = 24 cm
and
MN = 10 cm
,
find
sec
L
13
14
11
12
13
10
5
4
13
12
Question
6
6.
Which of the following are true?
a)
sin
80°
=
2
sin
40°
cos
40°
b)
tan
80°
=
2
tan
40°
1
−
tan
2
40°
c)
tan
80°
=
2
tan
40°
1
+
tan
2
40°
d)
cos
80°
=
cos
2
40°
+
sin
2
40°
e)
sin
80°
=
2
sin
2
40°
cos
2
40°
f)
cos
80°
=
cos
2
40°
−
sin
2
40°
{d,b}
{c,a}
{e,c,f}
{a,b,f}
{d,a,b}
Question
7
7.
Given
sec
H
=
2
3
√
3
,
find
tan
H
1
2
2
1
2
√
3
1
3
√
3
√
3
Question
8
8.
In the given figure, △GIH is right angled at H. If GH = 22 cm and ∠I = 60°, find HI
22
cm
22
3
√
18
cm
22
3
cm
11
√
2
cm
22
3
√
3
cm
Question
9
9.
An equilateral triangle is inscribed in a circle of radius 9 cm. Find the length of its sides.
9
cm
9
√
18
cm
27
2
√
2
cm
27
cm
9
√
3
cm
Question
10
10.
Given that
17
sin
θ
=
8
, find
sec
θ
15
8
8
15
17
15
15
17
17
8
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