EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Given
cot
A
=
15
8
,
find
cosec
A
(i)
17
8
(ii)
8
15
(iii)
17
15
(iv)
15
17
(v)
8
17
Question
2
2.
In the given figure, △DFE is right angled at E. If DE = 22 cm and ∠F = 60°, find FG
(i)
11
3
√
3
cm
(ii)
11
cm
(iii)
11
2
√
2
cm
(iv)
11
3
cm
(v)
11
3
√
18
cm
Question
3
3.
In the given figure,
tan
I
=
(i)
4
11
(ii)
12
35
(iii)
12
37
(iv)
2
7
(v)
2
5
Question
4
4.
Given that
4
cot
θ
=
3
, find
cos
θ
(i)
4
3
(ii)
5
4
(iii)
3
5
(iv)
5
3
(v)
4
5
Question
5
5.
Given
cos
F
=
2
3
√
2
,
find
sin
F
(i)
3
(ii)
1
4
√
2
(iii)
1
3
(iv)
2
√
2
(v)
3
4
√
2
Question
6
6.
Given that
8
cosec
θ
=
17
, find
cos
θ
(i)
8
17
(ii)
17
15
(iii)
8
15
(iv)
15
17
(v)
15
8
Question
7
7.
Given that
4
sec
θ
=
5
, find
tan
θ
(i)
4
3
(ii)
4
5
(iii)
3
5
(iv)
3
4
(v)
5
3
Question
8
8.
In the given figure,
sec
G
=
(i)
IH
IG
(ii)
GH
GI
(iii)
HG
IG
(iv)
GI
GH
(v)
JH
IH
Question
9
9.
sec
J
=
(i)
1
cosec
J
(ii)
1
sin
J
(iii)
1
cot
J
(iv)
1
cos
J
(v)
1
tan
J
Question
10
10.
In the given figure, △FHG is right angled at G. If FG = 14 cm and ∠H = 45°, find FH
(i)
7
√
12
cm
(ii)
28
√
3
cm
(iii)
28
cm
(iv)
14
√
2
cm
(v)
14
cm
Question
11
11.
From the given figure,
find
sin
(
90
−
I
)
(i)
GH
GI
(ii)
GH
HI
(iii)
HI
GH
(iv)
GI
GH
(v)
HI
GI
Question
12
12.
sin
K
=
(i)
1
cosec
K
(ii)
1
cot
K
(iii)
1
tan
K
(iv)
1
cos
K
(v)
1
sec
K
Question
13
13.
Given
sec
K
=
13
12
,
find
tan
K
(i)
13
5
(ii)
5
12
(iii)
5
13
(iv)
12
13
(v)
12
5
Question
14
14.
Given
cosec
C
=
5
4
,
find
cos
C
(i)
3
4
(ii)
5
3
(iii)
4
5
(iv)
3
5
(v)
4
3
Question
15
15.
sin
(
A
−
B
)
=
(i)
cos
A
cos
B
−
sin
A
sin
B
(ii)
sin
A
cos
B
+
cos
A
sin
B
(iii)
sin
A
cos
B
−
cos
A
sin
B
(iv)
cos
A
cos
B
+
sin
A
sin
B
Question
16
16.
In the given figure,
cosec
P
=
(i)
1
(ii)
7
3
(iii)
5
3
(iv)
5
Question
17
17.
cos
59°
sin
9°
−
sin
31°
cos
81°
=
(i)
1
(ii)
-1
(iii)
2
sin
9°
(iv)
0
(v)
2
sin
59°
Question
18
18.
A
chimney
stands vertically on the ground.
From a point on the ground,
the angle of elevation
of the top of the
chimney
is found to be
60°
.
If the distance between the point and the top of the
chimney
is
150 m
,
find the distance between
the observation point and the foot of the
chimney
.
(i)
77
m
(ii)
72
m
(iii)
76
m
(iv)
75
m
(v)
74
m
Question
19
19.
In the given figure,
cot
F
=
(i)
FH
HG
(ii)
HG
IH
(iii)
FG
GH
(iv)
HF
GH
(v)
HF
FG
Question
20
20.
If
sin
2
H
=
2
sin
H
, then
H
=
(i)
30°
(ii)
90°
(iii)
60°
(iv)
0°
(v)
45°
Question
21
21.
In the given figure, △DFE is right angled at E. If DE = 16 cm and ∠F = 45°, find EF
(i)
19
cm
(ii)
16
cm
(iii)
17
cm
(iv)
15
cm
(v)
14
cm
Question
22
22.
A chord of 17 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre
(i)
7.5 cm
(ii)
6.5 cm
(iii)
8.5 cm
(iv)
9.5 cm
(v)
10.5 cm
Question
23
23.
Given
cos
B
=
3
5
,
find
cot
B
(i)
5
3
(ii)
4
3
(iii)
4
5
(iv)
3
4
(v)
5
4
Question
24
24.
Given that
17
cos
θ
=
15
, find
tan
θ
(i)
17
8
(ii)
17
15
(iii)
8
17
(iv)
8
15
(v)
15
8
Question
25
25.
Given that
3
cosec
θ
=
5
, find
tan
θ
(i)
5
4
(ii)
4
5
(iii)
3
4
(iv)
3
5
(v)
4
3
Assignment Key
1) (i)
2) (i)
3) (ii)
4) (iii)
5) (iii)
6) (iv)
7) (iv)
8) (iv)
9) (iv)
10) (iv)
11) (v)
12) (i)
13) (ii)
14) (iv)
15) (iii)
16) (iii)
17) (iv)
18) (iv)
19) (iii)
20) (iv)
21) (ii)
22) (iii)
23) (iv)
24) (iv)
25) (iii)
