EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Given
sin
H
=
1
3
,
find
cosec
H
(i)
1
4
√
2
(ii)
2
3
√
2
(iii)
2
√
2
(iv)
3
(v)
3
4
√
2
Question
2
2.
Given that
12
tan
θ
=
5
, find
sec
θ
(i)
5
13
(ii)
13
12
(iii)
12
13
(iv)
13
5
(v)
12
5
Question
3
3.
Given that
8
cot
θ
=
15
, find
sin
θ
(i)
8
17
(ii)
17
15
(iii)
15
17
(iv)
17
8
(v)
8
15
Question
4
4.
Given
sin
A
=
1
2
,
find
tan
A
(i)
2
(ii)
1
2
√
3
(iii)
√
3
(iv)
1
3
√
3
(v)
2
3
√
3
Question
5
5.
Given
cot
B
=
4
7
√
2
,
find
sec
B
(i)
4
9
√
2
(ii)
9
7
(iii)
7
8
√
2
(iv)
9
8
√
2
(v)
7
9
Question
6
6.
The altitude
FI
of
△FGH
in which
∠F
is obtuse is
6 cm
.
If
GI = 6 cm
and
HI
=
6
√
3
cm
,
find
∠GFH
(i)
120°
(ii)
110°
(iii)
105°
(iv)
100°
(v)
115°
Question
7
7.
In the given figure,
cosec
Q
=
(i)
37
35
(ii)
1
(iii)
39
35
(iv)
37
33
Question
8
8.
In the given figure, △EFG is right angled at F. If FG = 10 cm and ∠G = 45°, find EF and EG
(i)
10
cm
&
10
√
2
cm
(ii)
11
cm
&
10
√
2
cm
(iii)
9
cm
&
23
cm
(iv)
11
cm
&
20
cm
(v)
11
cm
&
23
cm
Question
9
9.
Given that
8
cot
θ
=
15
, find
cos
θ
(i)
8
17
(ii)
8
15
(iii)
15
17
(iv)
17
15
(v)
17
8
Question
10
10.
Given
sec
B
=
7
13
√
13
,
find
cosec
B
(i)
6
7
(ii)
1
6
√
13
(iii)
1
7
√
13
(iv)
6
13
√
13
(v)
7
6
Question
11
11.
An equilateral triangle is inscribed in a circle of radius 10 cm. Find the length of its sides.
(i)
10
cm
(ii)
30
cm
(iii)
10
√
18
cm
(iv)
15
√
2
cm
(v)
10
√
3
cm
Question
12
12.
sin
0°
=
(i)
(
−
1
)
(ii)
1
(iii)
(
−
2
)
(iv)
0
(v)
3
Question
13
13.
From the given figure,
find
tan
(
90
−
K
)
(i)
JK
IK
(ii)
IJ
IK
(iii)
JK
IJ
(iv)
IK
JK
(v)
IK
IJ
Question
14
14.
In the given figure, if
AC
+
BC
=
18 cm
,
and
AB = 6 cm
,
find
sin
A
(i)
4
3
(ii)
4
7
(iii)
4
5
(iv)
2
5
(v)
6
5
Question
15
15.
A
tower
stands vertically on the ground.
The height of the
tower
is
180
m
.
The distance between the observation point and its foot
is
180
m
.
Find the angle of elevation.
(i)
75°
(ii)
45°
(iii)
105°
(iv)
60°
(v)
30°
Question
16
16.
Given
sec
F
=
5
4
,
find
tan
F
(i)
5
3
(ii)
4
5
(iii)
3
4
(iv)
3
5
(v)
4
3
Question
17
17.
Given
cot
M
=
2
√
2
,
find
sin
M
(i)
3
(ii)
3
4
√
2
(iii)
1
4
√
2
(iv)
1
3
(v)
2
3
√
2
Question
18
18.
cosec
90°
tan
60°
sin
90°
−
cot
45°
sin
45°
cot
60°
tan
0°
sec
30°
cot
30°
−
sec
0°
tan
30°
tan
60°
=
(i)
(
−
√
1
3
+
1
6
√
6
)
(ii)
(
−
√
3
+
1
)
(iii)
(
−
√
5
+
1
6
√
6
)
(iv)
(
−
√
3
+
1
6
4
√
6
)
(v)
(
−
√
3
+
1
6
√
6
)
Question
19
19.
sec
G
=
(i)
1
tan
G
(ii)
1
cosec
G
(iii)
1
cos
G
(iv)
1
cot
G
(v)
1
sin
G
Question
20
20.
Given that
5
cos
θ
=
4
, find
tan
θ
(i)
5
3
(ii)
3
4
(iii)
3
5
(iv)
5
4
(v)
4
3
Question
21
21.
Given that
5
cot
θ
=
12
, find
sec
θ
(i)
5
12
(ii)
13
12
(iii)
5
13
(iv)
12
13
(v)
13
5
Question
22
22.
Given that
5
sin
θ
=
3
, find
tan
θ
(i)
4
5
(ii)
5
4
(iii)
5
3
(iv)
3
4
(v)
4
3
Question
23
23.
Given
sin
D
=
8
17
,
find
tan
D
(i)
15
17
(ii)
15
8
(iii)
17
15
(iv)
8
15
(v)
17
8
Question
24
24.
sec
30°
=
(i)
2
√
1
3
(ii)
2
(iii)
2
4
√
1
3
(iv)
2
√
-1
3
(v)
2
3
Question
25
25.
Given that
8
cosec
θ
=
17
, find
cos
θ
(i)
15
17
(ii)
8
17
(iii)
15
8
(iv)
17
15
(v)
8
15
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (iv)
5) (iv)
6) (iii)
7) (i)
8) (i)
9) (iii)
10) (v)
11) (v)
12) (iv)
13) (iii)
14) (iii)
15) (ii)
16) (iii)
17) (iv)
18) (v)
19) (iii)
20) (ii)
21) (ii)
22) (iv)
23) (iv)
24) (i)
25) (i)
