EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Find the area of the right angled triangle with hypotenuse 6 cm and one of the acute angle being 54°
(i)
10.5595 cm
(ii)
8.5595 cm
(iii)
7.5595 cm
(iv)
9.5595 cm
Question
2
2.
Given
tan
B
=
2
5
√
5
,
find
sec
B
(i)
1
2
√
5
(ii)
2
3
(iii)
1
3
√
5
(iv)
3
2
(v)
3
5
√
5
Question
3
3.
cos
B
=
(i)
1
cot
B
(ii)
1
sec
B
(iii)
1
cosec
B
(iv)
1
tan
B
(v)
1
sin
B
Question
4
4.
Which of the following are true?
a)
sin
90°
=
1
b)
cos
0°
=
1
c)
sin
45°
=
1
d)
tan
90°
=
1
e)
sin
0°
=
1
f)
cos
90°
=
1
g)
tan
0°
=
1
h)
cos
45°
=
1
(i)
{g,b,a}
(ii)
{e,f,a}
(iii)
{a,b}
(iv)
{d,b}
(v)
{c,a}
Question
5
5.
cos
35°
sin
55°
=
(i)
tan
55°
(ii)
1
(iii)
0
(iv)
-1
(v)
tan
35°
Question
6
6.
cot
90°
sec
60°
cosec
90°
+
cosec
60°
sec
30°
sin
45°
sin
60°
cos
60°
−
cosec
60°
sec
30°
=
(i)
(
−
24
229
√
6
−
128
229
√
2
)
(ii)
(
−
24
229
√
6
−
128
229
4
√
2
)
(iii)
(
−
24
229
√
6
−
256
229
)
(iv)
(
−
24
229
√
4
−
128
229
√
2
)
(v)
(
−
24
229
√
8
−
128
229
√
2
)
Question
7
7.
Given
cosec
N
=
5
4
,
find
cos
N
(i)
4
5
(ii)
4
3
(iii)
3
4
(iv)
5
3
(v)
3
5
Question
8
8.
Given
cot
N
=
4
3
,
find
sec
N
(i)
3
4
(ii)
3
5
(iii)
4
5
(iv)
5
4
(v)
5
3
Question
9
9.
Given
cot
H
=
15
8
,
find
cosec
H
(i)
8
15
(ii)
17
15
(iii)
15
17
(iv)
17
8
(v)
8
17
Question
10
10.
Given
sin
H
=
3
5
,
find
cot
H
(i)
4
5
(ii)
5
3
(iii)
3
4
(iv)
4
3
(v)
5
4
Question
11
11.
sin
36°
=
(i)
sin
60°
cos
24°
+
cos
60°
sin
24°
(ii)
cos
60°
cos
24°
−
sin
60°
sin
24°
(iii)
sin
60°
cos
24°
−
cos
60°
sin
24°
(iv)
cos
60°
cos
24°
+
sin
60°
sin
24°
Question
12
12.
A
tower
stands vertically on the ground.
From a point on the ground,
the angle of elevation
of the top of the
tower
is found to be
60°
.
If the height of the
tower
is
60 m
,
find the distance between
the observation point and the foot of the
tower
.
(i)
20
√
3
m
(ii)
30
√
2
m
(iii)
20
√
18
m
(iv)
60
m
(v)
20
m
Question
13
13.
In the given figure, if
FH
+
GH
=
18 cm
,
and
FG = 6 cm
,
find
sin
F
(i)
4
3
(ii)
4
7
(iii)
4
5
(iv)
6
5
(v)
2
5
Question
14
14.
Which of the following are true?
a)
cos
(
90
−
θ
)
=
−
cos
θ
b)
sin
(
90
−
θ
)
=
−
sin
θ
c)
cot
(
90
−
θ
)
=
tan
θ
d)
cos
(
90
−
θ
)
=
sin
θ
e)
sin
(
90
−
θ
)
=
cos
θ
f)
tan
(
90
−
θ
)
=
cot
θ
(i)
{a,c}
(ii)
{a,f,c}
(iii)
{b,d}
(iv)
{a,b,e}
(v)
{c,d,e,f}
Question
15
15.
cosec
63°
sec
79°
−
sec
27°
cosec
11°
=
(i)
2
sin
79°
(ii)
0
(iii)
2
sin
63°
(iv)
-1
(v)
1
Question
16
16.
cos
73°
−
sin
17°
=
(i)
1
(ii)
2
sin
17°
(iii)
0
(iv)
2
sin
73°
(v)
-1
Question
17
17.
Given
cot
N
=
1
3
√
55
,
find
cos
N
(i)
8
55
√
55
(ii)
3
8
(iii)
1
8
√
55
(iv)
3
55
√
55
(v)
8
3
Question
18
18.
Given
cos
K
=
1
2
√
3
,
find
cosec
K
(i)
1
3
√
3
(ii)
2
(iii)
2
3
√
3
(iv)
√
3
(v)
1
2
Question
19
19.
In
△CDE
, right angled at
D
,
if
CD = 35 cm
and
DE = 12 cm
,
find
cosec
E
(i)
1
(ii)
37
35
(iii)
39
35
(iv)
37
33
Question
20
20.
In the given figure,
tan
J
=
(i)
ML
LK
(ii)
JK
LJ
(iii)
KL
LJ
(iv)
LK
JL
(v)
KL
JK
Question
21
21.
In the given figure, if
HJ
−
IJ
=
2 cm
,
and
HI = 10 cm
,
find
cos
H
(i)
7
13
(ii)
5
11
(iii)
3
13
(iv)
1
3
(v)
5
13
Question
22
22.
tan
81°
cot
9°
=
(i)
1
(ii)
tan
9°
(iii)
-1
(iv)
0
(v)
tan
81°
Question
23
23.
Find the value of
cot
80°
cot
30°
cot
10°
cot
60°
(i)
1
(ii)
0
(iii)
undefined
(iv)
2
(v)
-1
Question
24
24.
A
tower
stands vertically on the ground.
From a point on the ground,
the angle of elevation
of the top of the
tower
is found to be
60°
.
If the distance between the point and the top of the
tower
is
190 m
,
find the distance between
the observation point and the foot of the
tower
.
(i)
95
m
(ii)
92
m
(iii)
96
m
(iv)
97
m
(v)
94
m
Question
25
25.
Given
sin
D
=
5
13
,
find
cosec
D
(i)
13
5
(ii)
12
5
(iii)
12
13
(iv)
5
12
(v)
13
12
Assignment Key
1) (ii)
2) (v)
3) (ii)
4) (iii)
5) (ii)
6) (i)
7) (v)
8) (iv)
9) (iv)
10) (iv)
11) (iii)
12) (i)
13) (iii)
14) (v)
15) (ii)
16) (iii)
17) (iii)
18) (ii)
19) (ii)
20) (v)
21) (v)
22) (i)
23) (i)
24) (i)
25) (i)
