EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Given
sin
M
=
5
13
,
find
tan
M
(i)
12
13
(ii)
13
5
(iii)
13
12
(iv)
12
5
(v)
5
12
Question
2
2.
Given
sec
A
=
13
12
,
find
cot
A
(i)
12
13
(ii)
13
5
(iii)
5
13
(iv)
5
12
(v)
12
5
Question
3
3.
Given that
15
tan
θ
=
8
, find
sec
θ
(i)
15
8
(ii)
17
8
(iii)
17
15
(iv)
15
17
(v)
8
17
Question
4
4.
Given
tan
P
=
8
15
,
find
cosec
P
(i)
8
17
(ii)
17
8
(iii)
15
17
(iv)
17
15
(v)
15
8
Question
5
5.
Find the area of the right angled triangle with hypotenuse 4 cm and one of the acute angle being 35°
(i)
5.7591 cm
(ii)
3.7591 cm
(iii)
4.7591 cm
(iv)
2.7591 cm
Question
6
6.
cot
24°
tan
66°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
tan
24°
(v)
tan
66°
Question
7
7.
In the given figure,
tan
I
=
(i)
5
4
(ii)
1
2
(iii)
3
4
(iv)
3
2
(v)
1
4
Question
8
8.
Given
cosec
F
=
5
4
,
find
sin
F
(i)
3
5
(ii)
5
3
(iii)
4
3
(iv)
3
4
(v)
4
5
Question
9
9.
A
radio tower
stands vertically on the ground.
From a point on the ground,
the angle of elevation
of the top of the
radio tower
is found to be
60°
.
If the distance between the point and the top of the
radio tower
is
110 m
,
find the distance between
the observation point and the foot of the
radio tower
.
(i)
56
m
(ii)
54
m
(iii)
58
m
(iv)
53
m
(v)
55
m
Question
10
10.
In the given figure, if
HJ
−
IJ
=
2 cm
,
and
HI = 6 cm
,
find
sin
H
(i)
6
5
(ii)
4
3
(iii)
2
5
(iv)
4
7
(v)
4
5
Question
11
11.
Given
cos
G
=
1
4
√
7
,
find
tan
G
(i)
3
4
(ii)
4
7
√
7
(iii)
4
3
(iv)
3
7
√
7
(v)
1
3
√
7
Question
12
12.
From the given figure,
find
sec
(
90
−
E
)
(i)
DE
CD
(ii)
DE
CE
(iii)
CD
DE
(iv)
CE
DE
(v)
CE
CD
Question
13
13.
sin
77°
+
cos
50°
=
(i)
cos
77°
+
sin
50°
(ii)
cos
13°
+
cos
40°
(iii)
cos
13°
+
sin
40°
(iv)
sin
77°
+
sin
50°
Question
14
14.
Given that
4
cot
θ
=
3
, find
sin
θ
(i)
5
4
(ii)
5
3
(iii)
4
5
(iv)
4
3
(v)
3
5
Question
15
15.
In the given figure,
cot
E
=
(i)
CE
ED
(ii)
FE
ED
(iii)
DE
EC
(iv)
EC
CD
(v)
DE
CD
Question
16
16.
Given that
3
sec
θ
=
5
, find
tan
θ
(i)
3
5
(ii)
4
3
(iii)
3
4
(iv)
5
4
(v)
4
5
Question
17
17.
A
radio tower
stands vertically on the ground.
From a point on the ground,
the angle of elevation
of the top of the
radio tower
is found to be
30°
.
If the distance between the point and the foot of the
radio tower
is
110 m
,
find the distance between
the observation point and the top of the
radio tower
.
(i)
220
m
(ii)
220
3
m
(iii)
220
3
√
18
m
(iv)
110
√
2
m
(v)
220
3
√
3
m
Question
18
18.
Given that
5
sin
θ
=
4
, find
cos
θ
(i)
5
4
(ii)
3
5
(iii)
4
3
(iv)
3
4
(v)
5
3
Question
19
19.
Which of the following are true?
a)
sin
24°
=
cos
24°
b)
sin
59°
=
cos
31°
c)
cos
57°
=
sin
57°
d)
sin
26°
=
cos
64°
e)
sec
47°
=
cosec
43°
f)
sin
28°
=
cos
62°
g)
tan
39°
=
cot
51°
(i)
{a,f,g}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{b,d,e,f,g}
(v)
{a,c,e}
Question
20
20.
Given
tan
J
=
1
3
√
3
,
find
cot
J
(i)
√
3
(ii)
2
(iii)
1
2
√
3
(iv)
2
3
√
3
(v)
1
2
Question
21
21.
From the given figure,
find
cosec
(
90
−
D
)
(i)
BC
BD
(ii)
BD
BC
(iii)
BD
CD
(iv)
BC
CD
(v)
CD
BC
Question
22
22.
cos
50°
=
(i)
sin
40°
cos
10°
+
cos
40°
sin
10°
(ii)
sin
40°
cos
10°
−
cos
40°
sin
10°
(iii)
cos
40°
cos
10°
+
sin
40°
sin
10°
(iv)
cos
40°
cos
10°
−
sin
40°
sin
10°
Question
23
23.
cosec
45°
=
(i)
√
2
(ii)
√
5
(iii)
2
(iv)
4
√
2
(v)
√
1
2
Question
24
24.
Given
sin
E
=
2
3
,
find
cot
E
(i)
3
5
√
5
(ii)
2
5
√
5
(iii)
1
3
√
5
(iv)
1
2
√
5
(v)
3
2
Question
25
25.
In the given figure, if
DF
+
EF
=
50 cm
,
and
DE = 10 cm
,
find
cos
D
(i)
5
13
(ii)
7
13
(iii)
5
11
(iv)
1
3
(v)
3
13
Assignment Key
1) (v)
2) (v)
3) (iii)
4) (ii)
5) (ii)
6) (iii)
7) (iii)
8) (v)
9) (v)
10) (v)
11) (iv)
12) (v)
13) (iii)
14) (iii)
15) (v)
16) (ii)
17) (v)
18) (ii)
19) (iv)
20) (i)
21) (iii)
22) (iv)
23) (i)
24) (iv)
25) (i)
