EduSahara™ Assignment
Name : Basics of Trigonometric Ratios
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure,
sin
H
=
(i)
KJ
KI
(ii)
JI
HI
(iii)
IJ
HJ
(iv)
HI
JI
(v)
IJ
IH
Question
2
2.
In the given figure,
cos
A
=
(i)
AC
AB
(ii)
AB
AC
(iii)
CA
CB
(iv)
CB
DB
(v)
CA
BA
Question
3
3.
In the given figure,
tan
F
=
(i)
HG
FH
(ii)
GH
FG
(iii)
GH
HF
(iv)
FG
HF
(v)
IH
HG
Question
4
4.
In the given figure,
cot
K
=
(i)
KI
IJ
(ii)
JK
IJ
(iii)
LK
KJ
(iv)
IK
KJ
(v)
JK
KI
Question
5
5.
In the given figure,
sec
Q
=
(i)
RP
RQ
(ii)
PO
PQ
(iii)
OP
OQ
(iv)
OQ
PQ
(v)
QP
QO
Question
6
6.
In the given figure,
cosec
P
=
(i)
PO
NO
(ii)
ON
PN
(iii)
NO
PO
(iv)
NP
NO
(v)
QO
PO
Question
7
7.
In the given figure,
sin
E
=
(i)
33
37
(ii)
35
37
(iii)
35
39
(iv)
1
Question
8
8.
In the given figure,
cos
M
=
(i)
15
17
(ii)
13
17
(iii)
15
19
(iv)
1
Question
9
9.
In the given figure,
tan
L
=
(i)
1
4
(ii)
3
4
(iii)
5
4
(iv)
1
2
(v)
3
2
Question
10
10.
In the given figure,
cot
I
=
(i)
5
4
(ii)
1
2
(iii)
3
4
(iv)
1
4
(v)
3
2
Question
11
11.
In the given figure,
sec
H
=
(i)
13
4
(ii)
35
12
(iii)
37
14
(iv)
37
12
(v)
37
10
Question
12
12.
In the given figure,
cosec
N
=
(i)
13
7
(ii)
11
5
(iii)
3
(iv)
13
5
(v)
13
3
Question
13
13.
In
△KLM
, right angled at
L
,
if
KL = 8 cm
and
LM = 6 cm
,
find
sin
K
(i)
1
(ii)
3
5
(iii)
1
5
(iv)
3
7
Question
14
14.
In
△CDE
, right angled at
D
,
if
CD = 24 cm
and
DE = 10 cm
,
find
cos
E
(i)
7
13
(ii)
5
13
(iii)
1
3
(iv)
3
13
(v)
5
11
Question
15
15.
In
△OPQ
, right angled at
P
,
if
OP = 8 cm
and
PQ = 6 cm
,
find
tan
O
(i)
5
4
(ii)
1
4
(iii)
1
2
(iv)
3
2
(v)
3
4
Question
16
16.
In
△PQR
, right angled at
Q
,
if
PQ = 15 cm
and
QR = 8 cm
,
find
cot
R
(i)
8
17
(ii)
8
13
(iii)
2
5
(iv)
8
15
(v)
2
3
Question
17
17.
In
△CDE
, right angled at
D
,
if
CD = 24 cm
and
DE = 10 cm
,
find
sec
C
(i)
13
10
(ii)
11
12
(iii)
5
4
(iv)
13
12
(v)
13
14
Question
18
18.
In
△CDE
, right angled at
D
,
if
CD = 15 cm
and
DE = 8 cm
,
find
cosec
E
(i)
1
(ii)
17
15
(iii)
19
15
(iv)
17
13
Question
19
19.
sin
D
=
(i)
1
cot
D
(ii)
1
tan
D
(iii)
1
cosec
D
(iv)
1
cos
D
(v)
1
sec
D
Question
20
20.
cos
A
=
(i)
1
tan
A
(ii)
1
sec
A
(iii)
1
cot
A
(iv)
1
cosec
A
(v)
1
sin
A
Question
21
21.
tan
H
=
(i)
1
cosec
H
(ii)
1
sec
H
(iii)
1
cot
H
(iv)
1
sin
H
(v)
1
cos
H
Question
22
22.
cot
J
=
(i)
1
sec
J
(ii)
1
tan
J
(iii)
1
cos
J
(iv)
1
cosec
J
(v)
1
sin
J
Question
23
23.
sec
E
=
(i)
1
cosec
E
(ii)
1
cot
E
(iii)
1
cos
E
(iv)
1
tan
E
(v)
1
sin
E
Question
24
24.
cosec
A
=
(i)
1
tan
A
(ii)
1
cos
A
(iii)
1
sec
A
(iv)
1
sin
A
(v)
1
cot
A
Question
25
25.
Given
sin
J
=
4
5
,
find
cos
J
(i)
5
3
(ii)
5
4
(iii)
4
3
(iv)
3
5
(v)
3
4
Question
26
26.
Given
sin
D
=
3
5
,
find
tan
D
(i)
4
3
(ii)
3
4
(iii)
5
3
(iv)
5
4
(v)
4
5
Question
27
27.
Given
sin
E
=
8
17
,
find
cot
E
(i)
15
17
(ii)
17
8
(iii)
15
8
(iv)
17
15
(v)
8
15
Question
28
28.
Given
sin
J
=
8
17
,
find
sec
J
(i)
15
8
(ii)
8
15
(iii)
15
17
(iv)
17
8
(v)
17
15
Question
29
29.
Given
sin
K
=
4
5
,
find
cosec
K
(i)
3
4
(ii)
3
5
(iii)
5
3
(iv)
5
4
(v)
4
3
Question
30
30.
Given
cos
N
=
15
17
,
find
sin
N
(i)
8
15
(ii)
8
17
(iii)
17
8
(iv)
15
8
(v)
17
15
Question
31
31.
Given
cos
G
=
3
5
,
find
tan
G
(i)
3
4
(ii)
4
3
(iii)
5
3
(iv)
5
4
(v)
4
5
Question
32
32.
Given
cos
K
=
4
5
,
find
cot
K
(i)
5
3
(ii)
4
3
(iii)
3
4
(iv)
3
5
(v)
5
4
Question
33
33.
Given
cos
G
=
3
5
,
find
sec
G
(i)
5
3
(ii)
4
3
(iii)
4
5
(iv)
3
4
(v)
5
4
Question
34
34.
Given
cos
N
=
4
5
,
find
cosec
N
(i)
3
4
(ii)
4
3
(iii)
5
4
(iv)
5
3
(v)
3
5
Question
35
35.
Given
tan
B
=
4
3
,
find
sin
B
(i)
3
4
(ii)
4
5
(iii)
3
5
(iv)
5
3
(v)
5
4
Question
36
36.
Given
tan
P
=
5
12
,
find
cos
P
(i)
12
5
(ii)
13
5
(iii)
5
13
(iv)
12
13
(v)
13
12
Question
37
37.
Given
tan
D
=
5
12
,
find
cot
D
(i)
13
5
(ii)
12
13
(iii)
13
12
(iv)
5
13
(v)
12
5
Question
38
38.
Given
tan
J
=
4
3
,
find
sec
J
(i)
3
4
(ii)
5
3
(iii)
3
5
(iv)
5
4
(v)
4
5
Question
39
39.
Given
tan
A
=
3
4
,
find
cosec
A
(i)
3
5
(ii)
5
3
(iii)
5
4
(iv)
4
5
(v)
4
3
Question
40
40.
Given
cot
P
=
4
3
,
find
sin
P
(i)
4
5
(ii)
3
4
(iii)
3
5
(iv)
5
3
(v)
5
4
Question
41
41.
Given
cot
E
=
12
5
,
find
cos
E
(i)
5
13
(ii)
12
13
(iii)
13
5
(iv)
5
12
(v)
13
12
Question
42
42.
Given
cot
E
=
12
5
,
find
tan
E
(i)
5
12
(ii)
13
12
(iii)
5
13
(iv)
12
13
(v)
13
5
Question
43
43.
Given
cot
D
=
12
5
,
find
sec
D
(i)
13
12
(ii)
12
13
(iii)
13
5
(iv)
5
12
(v)
5
13
Question
44
44.
Given
cot
N
=
12
5
,
find
cosec
N
(i)
13
5
(ii)
5
12
(iii)
13
12
(iv)
12
13
(v)
5
13
Question
45
45.
Given
sec
F
=
17
15
,
find
sin
F
(i)
15
8
(ii)
15
17
(iii)
17
8
(iv)
8
15
(v)
8
17
Question
46
46.
Given
sec
D
=
17
15
,
find
cos
D
(i)
17
8
(ii)
8
15
(iii)
8
17
(iv)
15
17
(v)
15
8
Question
47
47.
Given
sec
E
=
17
15
,
find
tan
E
(i)
15
8
(ii)
17
8
(iii)
15
17
(iv)
8
15
(v)
8
17
Question
48
48.
Given
sec
D
=
13
12
,
find
cot
D
(i)
12
5
(ii)
5
13
(iii)
12
13
(iv)
5
12
(v)
13
5
Question
49
49.
Given
sec
M
=
5
4
,
find
cosec
M
(i)
4
3
(ii)
5
3
(iii)
4
5
(iv)
3
4
(v)
3
5
Question
50
50.
Given
cosec
J
=
5
4
,
find
sin
J
(i)
3
5
(ii)
3
4
(iii)
5
3
(iv)
4
5
(v)
4
3
Question
51
51.
Given
cosec
G
=
17
8
,
find
cos
G
(i)
15
17
(ii)
17
15
(iii)
8
17
(iv)
15
8
(v)
8
15
Question
52
52.
Given
cosec
P
=
5
3
,
find
tan
P
(i)
4
5
(ii)
3
4
(iii)
4
3
(iv)
5
4
(v)
3
5
Question
53
53.
Given
cosec
M
=
5
4
,
find
cot
M
(i)
5
3
(ii)
4
5
(iii)
3
5
(iv)
3
4
(v)
4
3
Question
54
54.
Given
cosec
M
=
13
5
,
find
sec
M
(i)
5
13
(ii)
12
5
(iii)
12
13
(iv)
5
12
(v)
13
12
Question
55
55.
Given that
5
sin
θ
=
4
, find
cos
θ
(i)
5
4
(ii)
4
3
(iii)
3
5
(iv)
5
3
(v)
3
4
Question
56
56.
Given that
5
sin
θ
=
3
, find
tan
θ
(i)
4
5
(ii)
4
3
(iii)
5
3
(iv)
5
4
(v)
3
4
Question
57
57.
Given that
5
sin
θ
=
3
, find
cot
θ
(i)
4
5
(ii)
4
3
(iii)
3
4
(iv)
5
3
(v)
5
4
Question
58
58.
Given that
5
sin
θ
=
3
, find
sec
θ
(i)
4
5
(ii)
3
4
(iii)
5
4
(iv)
5
3
(v)
4
3
Question
59
59.
Given that
5
sin
θ
=
4
, find
cosec
θ
(i)
5
4
(ii)
5
3
(iii)
3
5
(iv)
4
3
(v)
3
4
Question
60
60.
Given that
5
cos
θ
=
4
, find
sin
θ
(i)
4
3
(ii)
3
5
(iii)
3
4
(iv)
5
3
(v)
5
4
Question
61
61.
Given that
5
cos
θ
=
3
, find
tan
θ
(i)
4
5
(ii)
5
4
(iii)
3
4
(iv)
4
3
(v)
5
3
Question
62
62.
Given that
17
cos
θ
=
15
, find
cot
θ
(i)
8
17
(ii)
17
15
(iii)
17
8
(iv)
15
8
(v)
8
15
Question
63
63.
Given that
13
cos
θ
=
12
, find
sec
θ
(i)
13
5
(ii)
13
12
(iii)
12
5
(iv)
5
12
(v)
5
13
Question
64
64.
Given that
17
cos
θ
=
15
, find
cosec
θ
(i)
8
17
(ii)
17
15
(iii)
8
15
(iv)
17
8
(v)
15
8
Question
65
65.
Given that
4
tan
θ
=
3
, find
sin
θ
(i)
5
4
(ii)
5
3
(iii)
3
5
(iv)
4
3
(v)
4
5
Question
66
66.
Given that
4
tan
θ
=
3
, find
cos
θ
(i)
5
4
(ii)
4
3
(iii)
5
3
(iv)
3
5
(v)
4
5
Question
67
67.
Given that
4
tan
θ
=
3
, find
cot
θ
(i)
5
3
(ii)
4
5
(iii)
5
4
(iv)
3
5
(v)
4
3
Question
68
68.
Given that
3
tan
θ
=
4
, find
sec
θ
(i)
3
4
(ii)
4
5
(iii)
5
4
(iv)
5
3
(v)
3
5
Question
69
69.
Given that
3
tan
θ
=
4
, find
cosec
θ
(i)
3
4
(ii)
5
3
(iii)
4
5
(iv)
5
4
(v)
3
5
Question
70
70.
Given that
8
cot
θ
=
15
, find
sin
θ
(i)
8
17
(ii)
17
8
(iii)
15
17
(iv)
8
15
(v)
17
15
Question
71
71.
Given that
8
cot
θ
=
15
, find
cos
θ
(i)
15
17
(ii)
17
15
(iii)
8
15
(iv)
17
8
(v)
8
17
Question
72
72.
Given that
8
cot
θ
=
15
, find
tan
θ
(i)
8
17
(ii)
15
17
(iii)
8
15
(iv)
17
15
(v)
17
8
Question
73
73.
Given that
8
cot
θ
=
15
, find
sec
θ
(i)
8
17
(ii)
17
8
(iii)
17
15
(iv)
15
17
(v)
8
15
Question
74
74.
Given that
4
cot
θ
=
3
, find
cosec
θ
(i)
4
5
(ii)
5
3
(iii)
3
5
(iv)
5
4
(v)
4
3
Question
75
75.
Given that
4
sec
θ
=
5
, find
sin
θ
(i)
3
5
(ii)
3
4
(iii)
4
3
(iv)
5
3
(v)
4
5
Question
76
76.
Given that
3
sec
θ
=
5
, find
cos
θ
(i)
4
3
(ii)
5
4
(iii)
4
5
(iv)
3
4
(v)
3
5
Question
77
77.
Given that
3
sec
θ
=
5
, find
tan
θ
(i)
3
5
(ii)
4
3
(iii)
4
5
(iv)
5
4
(v)
3
4
Question
78
78.
Given that
12
sec
θ
=
13
, find
cot
θ
(i)
13
5
(ii)
12
13
(iii)
5
12
(iv)
5
13
(v)
12
5
Question
79
79.
Given that
15
sec
θ
=
17
, find
cosec
θ
(i)
8
17
(ii)
15
8
(iii)
17
8
(iv)
8
15
(v)
15
17
Question
80
80.
Given that
3
cosec
θ
=
5
, find
sin
θ
(i)
4
5
(ii)
4
3
(iii)
3
5
(iv)
5
4
(v)
3
4
Question
81
81.
Given that
3
cosec
θ
=
5
, find
cos
θ
(i)
3
4
(ii)
4
5
(iii)
5
4
(iv)
4
3
(v)
3
5
Question
82
82.
Given that
5
cosec
θ
=
13
, find
tan
θ
(i)
13
12
(ii)
12
5
(iii)
12
13
(iv)
5
12
(v)
5
13
Question
83
83.
Given that
3
cosec
θ
=
5
, find
cot
θ
(i)
3
5
(ii)
3
4
(iii)
4
3
(iv)
5
4
(v)
4
5
Question
84
84.
Given that
8
cosec
θ
=
17
, find
sec
θ
(i)
15
17
(ii)
17
15
(iii)
15
8
(iv)
8
15
(v)
8
17
Question
85
85.
From the given figure,
find
sin
(
90
−
K
)
(i)
IJ
JK
(ii)
JK
IK
(iii)
IK
IJ
(iv)
IJ
IK
(v)
JK
IJ
Question
86
86.
From the given figure,
find
cos
(
90
−
L
)
(i)
JK
KL
(ii)
JK
JL
(iii)
KL
JL
(iv)
JL
KL
(v)
KL
JK
Question
87
87.
From the given figure,
find
tan
(
90
−
E
)
(i)
EF
FG
(ii)
EG
FG
(iii)
EG
EF
(iv)
FG
EG
(v)
EF
EG
Question
88
88.
From the given figure,
find
cosec
(
90
−
D
)
(i)
BD
CD
(ii)
BD
BC
(iii)
BC
BD
(iv)
CD
BC
(v)
BC
CD
Question
89
89.
From the given figure,
find
sec
(
90
−
G
)
(i)
EG
FG
(ii)
EF
FG
(iii)
FG
EG
(iv)
EG
EF
(v)
FG
EF
Question
90
90.
From the given figure,
find
cot
(
90
−
I
)
(i)
JK
IK
(ii)
IK
JK
(iii)
IJ
IK
(iv)
JK
IJ
(v)
IK
IJ
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (ii)
5) (iv)
6) (iv)
7) (ii)
8) (i)
9) (ii)
10) (iii)
11) (iv)
12) (iv)
13) (ii)
14) (ii)
15) (v)
16) (iv)
17) (iv)
18) (ii)
19) (iii)
20) (ii)
21) (iii)
22) (ii)
23) (iii)
24) (iv)
25) (iv)
26) (ii)
27) (iii)
28) (v)
29) (iv)
30) (ii)
31) (ii)
32) (ii)
33) (i)
34) (iv)
35) (ii)
36) (iv)
37) (v)
38) (ii)
39) (ii)
40) (iii)
41) (ii)
42) (i)
43) (i)
44) (i)
45) (v)
46) (iv)
47) (iv)
48) (i)
49) (ii)
50) (iv)
51) (i)
52) (ii)
53) (iv)
54) (v)
55) (iii)
56) (v)
57) (ii)
58) (iii)
59) (i)
60) (ii)
61) (iv)
62) (iv)
63) (ii)
64) (iv)
65) (iii)
66) (v)
67) (v)
68) (iv)
69) (iv)
70) (i)
71) (i)
72) (iii)
73) (iii)
74) (iv)
75) (i)
76) (v)
77) (ii)
78) (v)
79) (iii)
80) (iii)
81) (ii)
82) (iv)
83) (iii)
84) (ii)
85) (ii)
86) (ii)
87) (i)
88) (i)
89) (iv)
90) (iv)
