EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
cot
A
=
(i)
1
tan
A
(ii)
1
cos
A
(iii)
1
sin
A
(iv)
1
sec
A
(v)
1
cosec
A
Question
2
2.
Given
sin
P
=
3
5
,
find
cos
P
(i)
3
4
(ii)
4
5
(iii)
4
3
(iv)
5
3
(v)
5
4
Question
3
3.
In
△JKL
, right angled at
K
,
if
JK = 35 cm
and
KL = 12 cm
,
find
cos
J
(i)
35
39
(ii)
1
(iii)
33
37
(iv)
35
37
Question
4
4.
Given
sec
K
=
6
11
√
11
,
find
sin
K
(i)
5
11
√
11
(ii)
5
6
(iii)
1
5
√
11
(iv)
1
6
√
11
(v)
6
5
Question
5
5.
cos
(
A
+
B
)
=
(i)
sin
A
cos
B
+
cos
A
sin
B
(ii)
cos
A
cos
B
−
sin
A
sin
B
(iii)
cos
A
cos
B
+
sin
A
sin
B
(iv)
sin
A
cos
B
−
cos
A
sin
B
Question
6
6.
In
△HIJ
, right angled at
I
,
if
HI = 35 cm
and
IJ = 12 cm
,
find
sec
H
(i)
1
(ii)
39
35
(iii)
37
35
(iv)
37
33
Question
7
7.
cot
73°
+
tan
58°
=
(i)
cot
73°
+
cot
58°
(ii)
tan
17°
+
cot
32°
(iii)
tan
73°
+
cot
58°
(iv)
tan
17°
+
tan
32°
Question
8
8.
Given that
12
tan
θ
=
5
, find
cosec
θ
(i)
5
13
(ii)
13
12
(iii)
12
5
(iv)
12
13
(v)
13
5
Question
9
9.
In the given figure,
sec
E
=
(i)
5
2
(ii)
3
4
(iii)
7
4
(iv)
5
6
(v)
5
4
Question
10
10.
Given
cot
F
=
12
5
,
find
sec
F
(i)
13
12
(ii)
13
5
(iii)
5
13
(iv)
5
12
(v)
12
13
Question
11
11.
cos
30°
=
(i)
1
2
√
3
(ii)
3
2
(iii)
1
2
√
6
(iv)
1
2
√
1
3
(v)
1
2
4
√
3
Question
12
12.
Given
cos
A
=
12
13
,
find
tan
A
(i)
13
12
(ii)
5
12
(iii)
12
5
(iv)
13
5
(v)
5
13
Question
13
13.
Given that
5
cos
θ
=
3
, find
sin
θ
(i)
5
3
(ii)
5
4
(iii)
4
5
(iv)
3
4
(v)
4
3
Question
14
14.
Given that
5
cos
θ
=
3
, find
tan
θ
(i)
5
4
(ii)
5
3
(iii)
4
3
(iv)
4
5
(v)
3
4
Question
15
15.
Which of the following are true?
a)
cos
84°
=
cos
2
42°
−
sin
2
42°
b)
tan
84°
=
2
tan
42°
1
−
tan
2
42°
c)
sin
84°
=
2
sin
42°
cos
42°
d)
sin
84°
=
2
sin
2
42°
cos
2
42°
e)
cos
84°
=
cos
2
42°
+
sin
2
42°
f)
tan
84°
=
2
tan
42°
1
+
tan
2
42°
(i)
{e,b}
(ii)
{a,b,c}
(iii)
{f,d,c}
(iv)
{e,a,b}
(v)
{d,a}
Question
16
16.
In the given figure,
tan
C
=
(i)
CB
DC
(ii)
AB
CA
(iii)
CB
AC
(iv)
AB
BC
(v)
CA
BC
Question
17
17.
Find the value of
tan
5°
tan
25°
tan
85°
tan
65°
(i)
-1
(ii)
undefined
(iii)
1
(iv)
2
(v)
0
Question
18
18.
tan
(
A
−
B
)
=
(i)
tan
A
−
tan
B
1
+
tan
A
tan
B
(ii)
tan
A
+
tan
B
1
−
tan
A
tan
B
(iii)
tan
A
+
tan
B
1
+
tan
A
tan
B
(iv)
tan
A
−
tan
B
1
−
tan
A
tan
B
Question
19
19.
Which of the following are true?
a)
cos
θ
=
1
cosec
θ
b)
cot
θ
=
1
sec
θ
c)
tan
θ
=
1
cot
θ
d)
sec
θ
=
1
cos
θ
e)
sec
θ
=
1
sin
θ
f)
cosec
θ
=
1
sin
θ
(i)
{b,d}
(ii)
{c,d,f}
(iii)
{b,c,d}
(iv)
{a,c}
(v)
{e,a,f}
Question
20
20.
Given
cosec
A
=
5
3
,
find
tan
A
(i)
4
3
(ii)
5
4
(iii)
3
4
(iv)
3
5
(v)
4
5
Question
21
21.
Given that
4
tan
θ
=
3
, find
sec
θ
(i)
5
3
(ii)
3
5
(iii)
5
4
(iv)
4
5
(v)
4
3
Question
22
22.
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 height of the
radio tower
is
70 m
,
find the distance between
the observation point and the foot of the
radio tower
.
(i)
105
√
2
m
(ii)
70
√
3
m
(iii)
210
m
(iv)
70
m
(v)
70
√
18
m
Question
23
23.
Given
cosec
B
=
5
3
,
find
cot
B
(i)
3
4
(ii)
3
5
(iii)
5
4
(iv)
4
5
(v)
4
3
Question
24
24.
Given
sin
A
=
8
17
,
find
cos
A
(i)
17
8
(ii)
17
15
(iii)
15
17
(iv)
8
15
(v)
15
8
Question
25
25.
Given that
12
sec
θ
=
13
, find
tan
θ
(i)
12
13
(ii)
5
12
(iii)
12
5
(iv)
5
13
(v)
13
5
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (ii)
5) (ii)
6) (iii)
7) (ii)
8) (v)
9) (v)
10) (i)
11) (i)
12) (ii)
13) (iii)
14) (iii)
15) (ii)
16) (iv)
17) (iii)
18) (i)
19) (ii)
20) (iii)
21) (iii)
22) (ii)
23) (v)
24) (iii)
25) (ii)
