EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Given that
15
tan
θ
=
8
, find
cosec
θ
(i)
17
8
(ii)
8
17
(iii)
17
15
(iv)
15
8
(v)
15
17
Question
2
2.
Given
tan
F
=
2
21
√
21
,
find
sin
F
(i)
5
2
(ii)
2
5
(iii)
1
2
√
21
(iv)
5
21
√
21
(v)
1
5
√
21
Question
3
3.
Given
cos
E
=
15
17
,
find
cot
E
(i)
17
15
(ii)
8
17
(iii)
8
15
(iv)
15
8
(v)
17
8
Question
4
4.
In the given figure, △CED is right angled at D. If CD = 24 cm and ∠E = 60°, find EF
(i)
4
√
18
cm
(ii)
4
cm
(iii)
12
cm
(iv)
6
√
2
cm
(v)
4
√
3
cm
Question
5
5.
In the given figure, △FHG is right angled at G. If FG = 25 cm and ∠H = 60°, find GH
(i)
25
cm
(ii)
25
3
√
3
cm
(iii)
25
2
√
2
cm
(iv)
25
3
cm
(v)
25
3
√
18
cm
Question
6
6.
cot
C
=
(i)
1
cos
C
(ii)
1
sec
C
(iii)
1
cosec
C
(iv)
1
sin
C
(v)
1
tan
C
Question
7
7.
Given
tan
F
=
1
4
√
2
,
find
cot
F
(i)
2
3
√
2
(ii)
1
3
(iii)
2
√
2
(iv)
3
(v)
3
4
√
2
Question
8
8.
sec
16°
cosec
2°
cosec
74°
sec
88°
=
(i)
1
(ii)
tan
16°
(iii)
-1
(iv)
0
(v)
tan
2°
Question
9
9.
cot
27°
tan
73°
tan
63°
cot
17°
=
(i)
-1
(ii)
0
(iii)
tan
73°
(iv)
tan
27°
(v)
1
Question
10
10.
In the given figure,
sec
C
=
(i)
AB
AC
(ii)
CB
CA
(iii)
BA
BC
(iv)
DB
DC
(v)
AC
BC
Question
11
11.
tan
37°
cot
14°
−
cot
53°
tan
76°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
2
sin
14°
(v)
2
sin
37°
Question
12
12.
In the given figure, △GIH is right angled at H. If GH = 8 cm and ∠I = 30°, find HI
(i)
8
√
3
cm
(ii)
24
cm
(iii)
12
√
2
cm
(iv)
8
cm
(v)
8
√
18
cm
Question
13
13.
Given
cos
G
=
1
2
√
3
,
find
sin
G
(i)
2
(ii)
2
3
√
3
(iii)
√
3
(iv)
1
2
(v)
1
3
√
3
Question
14
14.
In
△IJK
, right angled at
J
,
if
IJ = 24 cm
and
JK = 10 cm
,
find
tan
I
(i)
5
12
(ii)
1
4
(iii)
5
14
(iv)
7
12
(v)
1
2
Question
15
15.
cos
57°
−
sin
33°
=
(i)
2
sin
33°
(ii)
1
(iii)
-1
(iv)
0
(v)
2
sin
57°
Question
16
16.
Given
cos
H
=
4
5
,
find
tan
H
(i)
5
3
(ii)
5
4
(iii)
4
3
(iv)
3
5
(v)
3
4
Question
17
17.
Given that
5
cot
θ
=
12
, find
sec
θ
(i)
12
13
(ii)
13
5
(iii)
13
12
(iv)
5
13
(v)
5
12
Question
18
18.
Given
sec
C
=
5
3
,
find
sin
C
(i)
5
4
(ii)
4
5
(iii)
4
3
(iv)
3
5
(v)
3
4
Question
19
19.
Given
cosec
B
=
2
,
find
sin
B
(i)
2
3
√
3
(ii)
1
2
√
3
(iii)
√
3
(iv)
1
3
√
3
(v)
1
2
Question
20
20.
Given
cosec
C
=
13
5
,
find
cot
C
(i)
5
12
(ii)
12
5
(iii)
5
13
(iv)
13
12
(v)
12
13
Question
21
21.
Given
cosec
B
=
5
3
,
find
tan
B
(i)
4
3
(ii)
5
4
(iii)
3
5
(iv)
3
4
(v)
4
5
Question
22
22.
sec
76°
cosec
5°
−
cosec
14°
sec
85°
=
(i)
0
(ii)
2
sin
5°
(iii)
2
sin
76°
(iv)
-1
(v)
1
Question
23
23.
cot
44°
+
tan
56°
=
(i)
tan
46°
+
cot
34°
(ii)
tan
44°
+
cot
56°
(iii)
tan
46°
+
tan
34°
(iv)
cot
44°
+
cot
56°
Question
24
24.
Find the length of the side of a 9-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.6840 m
(ii)
0.7840 m
(iii)
0.7340 m
(iv)
0.5840 m
Question
25
25.
In the given figure,
cos
J
=
(i)
10
13
(ii)
12
13
(iii)
12
11
(iv)
14
13
(v)
4
5
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (v)
5) (ii)
6) (v)
7) (iii)
8) (i)
9) (v)
10) (v)
11) (iii)
12) (i)
13) (iv)
14) (i)
15) (iv)
16) (v)
17) (iii)
18) (ii)
19) (v)
20) (ii)
21) (iv)
22) (i)
23) (i)
24) (i)
25) (ii)
