EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
cos
53°
sin
37°
=
(i)
tan
37°
(ii)
tan
53°
(iii)
1
(iv)
0
(v)
-1
Question
2
2.
Given
sin
E
=
1
7
,
find
cosec
E
(i)
7
(ii)
7
12
√
3
(iii)
1
12
√
3
(iv)
4
√
3
(v)
4
7
√
3
Question
3
3.
tan
30°
cos
45°
cos
90°
+
tan
0°
cos
30°
cot
45°
cot
90°
cosec
30°
−
cos
60°
sin
90°
=
(i)
2
(ii)
0
(iii)
(
−
1
)
(iv)
(
−
2
)
(v)
1
Question
4
4.
a)
2
u
v
=
a
2
sin
2
θ
b)
(
u
+
v
)
2
=
a
2
c)
(
u
2
−
v
2
)
=
a
2
d)
u
2
v
2
=
tan
2
θ
e)
(
u
2
+
v
2
)
=
a
2
(i)
{b,a}
(ii)
{a,d,e}
(iii)
{b,c,e}
(iv)
{c,d}
(v)
{b,a,d}
Question
5
5.
cos
C
=
(i)
1
cosec
C
(ii)
1
cot
C
(iii)
1
sec
C
(iv)
1
sin
C
(v)
1
tan
C
Question
6
6.
In the given figure, if
BD
+
CD
=
18 cm
,
and
BC = 6 cm
,
find
cos
B
(i)
3
7
(ii)
3
5
(iii)
1
5
(iv)
1
Question
7
7.
cos
60°
+
sin
72°
=
(i)
sin
30°
+
sin
18°
(ii)
sin
60°
+
cos
72°
(iii)
sin
30°
+
cos
18°
(iv)
cos
60°
+
cos
72°
Question
8
8.
tan
20°
=
(i)
tan
45°
+
tan
25°
1
+
tan
45°
tan
25°
(ii)
tan
45°
+
tan
25°
1
−
tan
45°
tan
25°
(iii)
tan
45°
−
tan
25°
1
+
tan
45°
tan
25°
(iv)
tan
45°
−
tan
25°
1
−
tan
45°
tan
25°
Question
9
9.
In the given figure,
tan
P
=
(i)
13
8
(ii)
3
2
(iii)
15
8
(iv)
5
2
(v)
17
8
Question
10
10.
Given that
5
cosec
θ
=
13
, find
sec
θ
(i)
12
5
(ii)
5
12
(iii)
13
12
(iv)
12
13
(v)
5
13
Question
11
11.
Express
cot
76°
in terms of
cos
76°
(i)
cos
76°
√
1
−
cos
2
76°
(ii)
√
1
−
cos
2
76°
cos
76°
(iii)
√
1
−
cos
2
76°
(iv)
1
cos
76°
(v)
1
√
1
−
cos
2
76°
Question
12
12.
Given that
17
sin
θ
=
8
, find
sec
θ
(i)
17
8
(ii)
17
15
(iii)
8
15
(iv)
15
17
(v)
15
8
Question
13
13.
Which of the following are true?
a)
tan
90°
is not defined
b)
cot
0°
is not defined
c)
sec
0°
is not defined
d)
tan
0°
is not defined
e)
cot
90°
is not defined
f)
cosec
0°
is not defined
g)
cosec
90°
is not defined
h)
sec
90°
is not defined
(i)
{c,h,a}
(ii)
{c,a}
(iii)
{a,b,f,h}
(iv)
{d,b}
(v)
{e,g,f}
Question
14
14.
Which of the following are true?
a)
cosec
(
90
+
θ
)
=
sec
θ
b)
cot
(
90
+
θ
)
=
−
tan
θ
c)
sec
(
90
+
θ
)
=
−
sec
θ
d)
sec
(
90
+
θ
)
=
−
cosec
θ
e)
cot
(
90
+
θ
)
=
−
cot
θ
f)
cosec
(
90
+
θ
)
=
−
cosec
θ
(i)
{e,a,b}
(ii)
{a,b,d}
(iii)
{e,b}
(iv)
{f,c,d}
(v)
{c,a}
Question
15
15.
Express
tan
46°
in terms of
cosec
46°
(i)
cosec
46°
√
cosec
2
46°
−
1
(ii)
1
cosec
46°
(iii)
1
√
cosec
2
46°
−
1
(iv)
√
cosec
2
46°
−
1
(v)
√
cosec
2
46°
−
1
cosec
46°
Question
16
16.
Given
tan
C
=
4
3
,
find
sec
C
(i)
5
4
(ii)
3
4
(iii)
4
5
(iv)
3
5
(v)
5
3
Question
17
17.
Given that
12
sec
θ
=
13
, find
cosec
θ
(i)
12
5
(ii)
5
13
(iii)
13
5
(iv)
12
13
(v)
5
12
Question
18
18.
Given that
5
cosec
θ
=
13
, find
sin
θ
(i)
5
12
(ii)
5
13
(iii)
12
13
(iv)
12
5
(v)
13
12
Question
19
19.
Given
cos
M
=
4
5
,
find
cot
M
(i)
4
3
(ii)
3
4
(iii)
5
4
(iv)
5
3
(v)
3
5
Question
20
20.
Given
sec
D
=
6
11
√
11
,
find
cos
D
(i)
5
6
(ii)
6
5
(iii)
1
6
√
11
(iv)
5
11
√
11
(v)
1
5
√
11
Question
21
21.
Given
cosec
G
=
8
5
,
find
sec
G
(i)
8
39
√
39
(ii)
5
8
(iii)
5
39
√
39
(iv)
1
5
√
39
(v)
1
8
√
39
Question
22
22.
If
cos
4
x
=
sin
(
(
x
+
65
)
)
, then
x
=
(i)
2
(ii)
5
(iii)
7
(iv)
4
(v)
6
Question
23
23.
Which of the following are true?
a)
The cosine value of an angle is the reciprocal of the sine of the angle.
b)
tan
G
= tan
✕
G
c)
sin
(
G
+
H
)
=
sin
G
+
sin
H
d)
The cotangent of an angle is the reciprocal of the tangent of the angle.
e)
The cosecant of an angle is the reciprocal of the secant of the angle
f)
cos
(
G
+
H
)
=
cos
G
+
cos
H
(i)
{a,d}
(ii)
{c,e,d}
(iii)
{b,d}
(iv)
{f,d}
(v)
{d}
Question
24
24.
In the given figure,
cot
F
=
(i)
EF
FD
(ii)
EF
DE
(iii)
DF
FE
(iv)
GF
FE
(v)
FD
DE
Question
25
25.
Given that
4
cot
θ
=
3
, find
cos
θ
(i)
4
3
(ii)
5
4
(iii)
4
5
(iv)
5
3
(v)
3
5
Assignment Key
1) (iii)
2) (i)
3) (ii)
4) (ii)
5) (iii)
6) (ii)
7) (iii)
8) (iii)
9) (iii)
10) (iii)
11) (i)
12) (ii)
13) (iii)
14) (ii)
15) (iii)
16) (v)
17) (iii)
18) (ii)
19) (i)
20) (iii)
21) (i)
22) (ii)
23) (v)
24) (ii)
25) (v)
