EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
cot
59°
−
tan
31°
=
(i)
2
sin
31°
(ii)
-1
(iii)
2
sin
59°
(iv)
1
(v)
0
Question
2
2.
In the given figure,
sin
D
=
(i)
35
39
(ii)
1
(iii)
35
37
(iv)
33
37
Question
3
3.
Given
sec
C
=
5
4
,
find
sin
C
(i)
4
5
(ii)
3
4
(iii)
3
5
(iv)
5
3
(v)
4
3
Question
4
4.
Find the value of
(
1
+
sin
θ
)
(
cos
θ
)
+
(
cos
θ
)
(
1
+
sin
θ
)
(i)
2
sec
θ
(ii)
2
cos
θ
(iii)
2
cosec
θ
(iv)
2
sin
θ
Question
5
5.
From the given figure,
find
cot
(
90
−
C
)
(i)
DE
CE
(ii)
CE
CD
(iii)
DE
CD
(iv)
CD
CE
(v)
CE
DE
Question
6
6.
Given that
13
cos
θ
=
12
, find
cosec
θ
(i)
13
5
(ii)
12
5
(iii)
5
13
(iv)
5
12
(v)
13
12
Question
7
7.
Given that
13
sin
θ
=
5
, find
tan
θ
(i)
12
5
(ii)
13
12
(iii)
5
12
(iv)
12
13
(v)
13
5
Question
8
8.
Express
sin
71°
in terms of
tan
71°
(i)
√
1
+
tan
2
71°
(ii)
1
tan
71°
(iii)
1
√
1
+
tan
2
71°
(iv)
tan
71°
√
1
+
tan
2
71°
(v)
√
1
+
tan
2
71°
tan
71°
Question
9
9.
Given that
5
sin
θ
=
4
, find
cot
θ
(i)
4
3
(ii)
5
3
(iii)
5
4
(iv)
3
5
(v)
3
4
Question
10
10.
Given
cosec
M
=
17
8
,
find
cos
M
(i)
15
17
(ii)
15
8
(iii)
17
15
(iv)
8
15
(v)
8
17
Question
11
11.
Given
cos
K
=
2
3
√
2
,
find
sin
K
(i)
2
√
2
(ii)
1
4
√
2
(iii)
3
4
√
2
(iv)
3
(v)
1
3
Question
12
12.
Which of the following are true?
a)
tan
0°
is not defined
b)
cosec
0°
is not defined
c)
tan
90°
is not defined
d)
cosec
90°
is not defined
e)
cot
90°
is not defined
f)
sec
0°
is not defined
g)
cot
0°
is not defined
h)
sec
90°
is not defined
(i)
{a,b}
(ii)
{e,f,g}
(iii)
{b,c,g,h}
(iv)
{a,h,b}
(v)
{d,c}
Question
13
13.
Given
cot
G
=
3
4
,
find
cosec
G
(i)
5
4
(ii)
4
5
(iii)
3
5
(iv)
5
3
(v)
4
3
Question
14
14.
Given that
5
sin
θ
=
4
, find
cos
θ
(i)
4
3
(ii)
5
4
(iii)
3
5
(iv)
3
4
(v)
5
3
Question
15
15.
Given
tan
P
=
5
12
√
6
,
find
cot
P
(i)
5
7
(ii)
2
7
√
6
(iii)
7
12
√
6
(iv)
7
5
(v)
2
5
√
6
Question
16
16.
From the given figure,
find
cosec
(
90
−
H
)
(i)
GH
FG
(ii)
FG
FH
(iii)
FH
FG
(iv)
FG
GH
(v)
FH
GH
Question
17
17.
Given
cosec
P
=
13
5
,
find
sec
P
(i)
12
5
(ii)
13
12
(iii)
5
12
(iv)
12
13
(v)
5
13
Question
18
18.
In the given figure, △JKL is right angled at K. If KL = 11 cm and ∠L = 60°, find JK and JL
(i)
11
√
3
cm
&
22
cm
(ii)
11
4
√
1
3
cm
&
24
cm
(iii)
11
4
√
3
cm
&
22
cm
(iv)
11
4
√
3
cm
&
24
cm
(v)
11
4
√
3
cm
&
21
cm
Question
19
19.
Express
cot
34°
in terms of
sin
34°
(i)
1
√
1
−
sin
2
34°
(ii)
1
sin
34°
(iii)
sin
34°
√
1
−
sin
2
34°
(iv)
√
1
−
sin
2
34°
(v)
√
1
−
sin
2
34°
sin
34°
Question
20
20.
If
tan
θ
−
cot
θ
=
5
, find
tan
2
θ
+
cot
2
θ
(i)
26
(ii)
30
(iii)
25
(iv)
27
(v)
28
Question
21
21.
cos
8°
sin
82°
=
(i)
tan
8°
(ii)
1
(iii)
0
(iv)
tan
82°
(v)
-1
Question
22
22.
Given that
13
sin
θ
=
5
, find
sec
θ
(i)
12
5
(ii)
5
12
(iii)
13
12
(iv)
13
5
(v)
12
13
Question
23
23.
1
−
tan
2
θ
1
+
tan
2
θ
=
(i)
cos
2
θ
(ii)
cot
2
θ
(iii)
sin
2
θ
(iv)
tan
2
θ
Question
24
24.
cot
28°
tan
62°
=
(i)
tan
28°
(ii)
1
(iii)
0
(iv)
-1
(v)
tan
62°
Question
25
25.
cosec
78°
+
sec
66°
=
(i)
cosec
78°
+
cosec
66°
(ii)
sec
12°
+
sec
24°
(iii)
sec
12°
+
cosec
24°
(iv)
sec
78°
+
cosec
66°
Assignment Key
1) (v)
2) (iii)
3) (iii)
4) (i)
5) (iii)
6) (i)
7) (iii)
8) (iv)
9) (v)
10) (i)
11) (v)
12) (iii)
13) (i)
14) (iii)
15) (v)
16) (v)
17) (ii)
18) (i)
19) (v)
20) (iv)
21) (ii)
22) (iii)
23) (i)
24) (ii)
25) (iii)
