EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Given
cosec
H
=
2
,
find
sec
H
(i)
1
3
√
3
(ii)
2
3
√
3
(iii)
1
2
(iv)
√
3
(v)
1
2
√
3
Question
2
2.
Given
cosec
E
=
17
8
,
find
sin
E
(i)
15
17
(ii)
17
15
(iii)
8
17
(iv)
8
15
(v)
15
8
Question
3
3.
cos
(
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
4
4.
Given that
13
sin
θ
=
5
, find
cot
θ
(i)
13
12
(ii)
12
5
(iii)
13
5
(iv)
5
12
(v)
12
13
Question
5
5.
Given
sec
B
=
13
12
,
find
cot
B
(i)
12
5
(ii)
5
13
(iii)
13
5
(iv)
12
13
(v)
5
12
Question
6
6.
Given that
5
cot
θ
=
12
, find
cos
θ
(i)
5
12
(ii)
12
13
(iii)
5
13
(iv)
13
5
(v)
13
12
Question
7
7.
Given that
17
sin
θ
=
8
, find
cos
θ
(i)
17
15
(ii)
17
8
(iii)
8
15
(iv)
15
17
(v)
15
8
Question
8
8.
Given
tan
M
=
8
15
,
find
cot
M
(i)
15
17
(ii)
17
15
(iii)
17
8
(iv)
8
17
(v)
15
8
Question
9
9.
Given
sin
K
=
2
3
,
find
tan
K
(i)
3
2
(ii)
1
3
√
5
(iii)
2
5
√
5
(iv)
3
5
√
5
(v)
1
2
√
5
Question
10
10.
sin
30°
cos
45°
+
cos
30°
sin
45°
=
(i)
(
1
4
√
2
+
1
4
4
√
6
)
(ii)
(
1
4
√
4
+
1
4
√
6
)
(iii)
(
1
4
√
2
+
1
4
√
6
)
(iv)
(
1
4
√
-1
+
1
4
√
6
)
(v)
(
1
4
√
2
+
3
2
)
Question
11
11.
A
tower
stands vertically on the ground.
The height of the
tower
is
100
√
3
m
.
The distance between the observation point and its foot
is
100
m
.
Find the angle of elevation.
(i)
45°
(ii)
105°
(iii)
60°
(iv)
90°
(v)
30°
Question
12
12.
If
tan
(
G
+
H
)
=
√
3
and
tan
(
G
−
H
)
=
√
1
3
,
find
G
&
H
(i)
G
=
45°
,
H
=
15°
(ii)
G
=
47°
,
H
=
17°
(iii)
G
=
43°
,
H
=
13°
(iv)
G
=
44°
,
H
=
14°
(v)
G
=
46°
,
H
=
16°
Question
13
13.
Given
cot
G
=
√
15
,
find
cos
G
(i)
1
15
√
15
(ii)
4
(iii)
1
4
(iv)
1
4
√
15
(v)
4
15
√
15
Question
14
14.
tan
E
=
(i)
1
cosec
E
(ii)
1
cot
E
(iii)
1
sec
E
(iv)
1
cos
E
(v)
1
sin
E
Question
15
15.
Given that
17
cos
θ
=
15
, find
tan
θ
(i)
15
8
(ii)
17
8
(iii)
8
15
(iv)
8
17
(v)
17
15
Question
16
16.
Given that
5
cos
θ
=
4
, find
sec
θ
(i)
3
5
(ii)
4
3
(iii)
3
4
(iv)
5
3
(v)
5
4
Question
17
17.
Given
cot
K
=
3
2
√
5
,
find
cosec
K
(i)
2
15
√
5
(ii)
7
2
(iii)
7
15
√
5
(iv)
3
7
√
5
(v)
2
7
Question
18
18.
Given
cosec
E
=
17
8
,
find
cot
E
(i)
8
17
(ii)
8
15
(iii)
15
17
(iv)
17
15
(v)
15
8
Question
19
19.
In the given figure, △BDC is right angled at C. If BC = 7 cm and ∠D = 30°, find BE
(i)
13
4
cm
(ii)
5
2
cm
(iii)
4
cm
(iv)
9
2
cm
(v)
7
2
cm
Question
20
20.
Given that
12
tan
θ
=
5
, find
sec
θ
(i)
12
13
(ii)
12
5
(iii)
5
13
(iv)
13
12
(v)
13
5
Question
21
21.
In the given figure, △CED is right angled at D. If CD = 24 cm and ∠E = 60°, find DE
(i)
8
√
18
cm
(ii)
8
√
3
cm
(iii)
24
cm
(iv)
8
cm
(v)
12
√
2
cm
Question
22
22.
Given
cosec
B
=
17
8
,
find
cos
B
(i)
15
8
(ii)
8
17
(iii)
8
15
(iv)
15
17
(v)
17
15
Question
23
23.
Find the value of
tan
25°
tan
5°
tan
65°
tan
85°
(i)
-1
(ii)
1
(iii)
2
(iv)
0
(v)
undefined
Question
24
24.
Given
sin
G
=
4
5
,
find
cos
G
(i)
3
4
(ii)
3
5
(iii)
4
3
(iv)
5
4
(v)
5
3
Question
25
25.
Given
cot
F
=
3
4
,
find
sin
F
(i)
4
5
(ii)
3
5
(iii)
5
3
(iv)
4
3
(v)
5
4
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (ii)
5) (i)
6) (ii)
7) (iv)
8) (v)
9) (iii)
10) (iii)
11) (iii)
12) (i)
13) (iv)
14) (ii)
15) (iii)
16) (v)
17) (ii)
18) (v)
19) (v)
20) (iv)
21) (ii)
22) (iv)
23) (ii)
24) (ii)
25) (i)
