EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Given that
8
cosec
θ
=
17
, find
tan
θ
(i)
15
17
(ii)
8
15
(iii)
8
17
(iv)
15
8
(v)
17
15
Question
2
2.
Given that
12
tan
θ
=
5
, find
sec
θ
(i)
12
5
(ii)
12
13
(iii)
5
13
(iv)
13
5
(v)
13
12
Question
3
3.
In the given figure, △IKJ is right angled at J. If IJ = 7 cm and ∠K = 30°, find KL
(i)
19
2
cm
(ii)
21
2
cm
(iii)
21
4
cm
(iv)
21
cm
(v)
23
2
cm
Question
4
4.
Given
cot
B
=
1
2
√
21
,
find
cosec
B
(i)
5
2
(ii)
2
21
√
21
(iii)
5
21
√
21
(iv)
2
5
(v)
1
5
√
21
Question
5
5.
Given that
15
sec
θ
=
17
, find
cot
θ
(i)
17
8
(ii)
8
17
(iii)
15
17
(iv)
15
8
(v)
8
15
Question
6
6.
Which of the following are true?
a)
cosec
90°
is not defined
b)
sec
0°
is not defined
c)
tan
90°
is not defined
d)
tan
0°
is not defined
e)
cot
90°
is not defined
f)
sec
90°
is not defined
g)
cot
0°
is not defined
h)
cosec
0°
is not defined
(i)
{a,c}
(ii)
{a,h,c}
(iii)
{b,f}
(iv)
{c,f,g,h}
(v)
{d,e,g}
Question
7
7.
Given that
5
cos
θ
=
4
, find
tan
θ
(i)
5
3
(ii)
5
4
(iii)
4
3
(iv)
3
5
(v)
3
4
Question
8
8.
From the given figure,
find
tan
(
90
−
G
)
(i)
EG
FG
(ii)
EF
EG
(iii)
FG
EF
(iv)
FG
EG
(v)
EG
EF
Question
9
9.
Given
cosec
M
=
17
8
,
find
cot
M
(i)
8
17
(ii)
8
15
(iii)
17
15
(iv)
15
17
(v)
15
8
Question
10
10.
Given
cos
P
=
1
2
√
3
,
find
sin
P
(i)
√
3
(ii)
1
2
(iii)
1
3
√
3
(iv)
2
3
√
3
(v)
2
Question
11
11.
tan
33°
+
cot
65°
=
(i)
cot
57°
+
tan
25°
(ii)
tan
33°
+
tan
65°
(iii)
cot
57°
+
cot
25°
(iv)
cot
33°
+
tan
65°
Question
12
12.
Given
sec
K
=
5
3
,
find
sin
K
(i)
4
5
(ii)
5
4
(iii)
3
5
(iv)
4
3
(v)
3
4
Question
13
13.
From the given figure,
find
sin
(
90
−
H
)
(i)
GH
FH
(ii)
FG
GH
(iii)
GH
FG
(iv)
FG
FH
(v)
FH
FG
Question
14
14.
Given
sin
A
=
3
4
,
find
cos
A
(i)
4
3
(ii)
4
7
√
7
(iii)
1
3
√
7
(iv)
1
4
√
7
(v)
3
7
√
7
Question
15
15.
Given
sec
J
=
13
12
,
find
cosec
J
(i)
12
5
(ii)
13
5
(iii)
5
12
(iv)
12
13
(v)
5
13
Question
16
16.
Given
sin
H
=
2
9
,
find
tan
H
(i)
2
77
√
77
(ii)
1
2
√
77
(iii)
9
77
√
77
(iv)
1
9
√
77
(v)
9
2
Question
17
17.
Given that
5
sin
θ
=
3
, find
tan
θ
(i)
5
3
(ii)
3
4
(iii)
4
5
(iv)
5
4
(v)
4
3
Question
18
18.
sin
35°
=
(i)
sin
21°
cos
14°
−
cos
21°
sin
14°
(ii)
cos
21°
cos
14°
+
sin
21°
sin
14°
(iii)
cos
21°
cos
14°
−
sin
21°
sin
14°
(iv)
sin
21°
cos
14°
+
cos
21°
sin
14°
Question
19
19.
cot
72°
+
tan
30°
=
(i)
tan
18°
+
cot
60°
(ii)
tan
72°
+
cot
30°
(iii)
cot
72°
+
cot
30°
(iv)
tan
18°
+
tan
60°
Question
20
20.
Which of the following are true?
a)
cos
2
A
=
cos
2
A
−
sin
2
A
b)
sin
2
A
=
2
sin
2
A
cos
2
A
c)
tan
2
A
=
2
tan
A
1
+
tan
2
A
d)
tan
2
A
=
2
tan
A
1
−
tan
2
A
e)
cos
2
A
=
cos
2
A
+
sin
2
A
f)
sin
2
A
=
2
sin
A
cos
A
(i)
{e,b,f}
(ii)
{b,a}
(iii)
{c,a,d}
(iv)
{c,d}
(v)
{a,d,f}
Question
21
21.
From the given figure,
find
cosec
(
90
−
L
)
(i)
JL
JK
(ii)
JK
KL
(iii)
KL
JK
(iv)
JL
KL
(v)
JK
JL
Question
22
22.
In
△BCD
, right angled at
C
,
if
tan
B
=
5
7
,
find
sin
B
cos
D
+
cos
B
sin
D
(i)
1
5
√
74
(ii)
7
74
√
74
(iii)
1
(iv)
1
7
√
74
(v)
5
74
√
74
Question
23
23.
Given that
17
sin
θ
=
8
, find
cot
θ
(i)
17
8
(ii)
17
15
(iii)
15
17
(iv)
8
15
(v)
15
8
Question
24
24.
Given
cos
M
=
4
5
,
find
cosec
M
(i)
4
3
(ii)
5
3
(iii)
3
4
(iv)
3
5
(v)
5
4
Question
25
25.
cosec
30°
=
(i)
1
(ii)
4
(iii)
2
(iv)
3
(v)
(
−
1
)
Assignment Key
1) (ii)
2) (v)
3) (ii)
4) (i)
5) (iv)
6) (iv)
7) (v)
8) (iii)
9) (v)
10) (ii)
11) (i)
12) (i)
13) (i)
14) (iv)
15) (ii)
16) (i)
17) (ii)
18) (iv)
19) (i)
20) (v)
21) (iv)
22) (iii)
23) (v)
24) (ii)
25) (iii)
