EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In
△CDE
, right angled at
D
,
if
CD = 8 cm
and
DE = 6 cm
,
find
tan
C
(i)
3
2
(ii)
3
4
(iii)
1
4
(iv)
1
2
(v)
5
4
Question
2
2.
Express
sin
θ
in terms of
cos
θ
(i)
1
cos
θ
(ii)
cos
θ
√
1
−
cos
2
θ
(iii)
1
√
1
−
cos
2
θ
(iv)
√
1
−
cos
2
θ
cos
θ
(v)
√
1
−
cos
2
θ
Question
3
3.
Given
cosec
H
=
7
3
,
find
cot
H
(i)
7
20
√
10
(ii)
2
7
√
10
(iii)
3
20
√
10
(iv)
2
3
√
10
(v)
3
7
Question
4
4.
Given
cos
P
=
1
6
√
35
,
find
tan
P
(i)
6
35
√
35
(ii)
6
(iii)
1
6
(iv)
√
35
(v)
1
35
√
35
Question
5
5.
sin
65°
cos
25°
+
cos
65°
sin
25°
sin
30°
cos
60°
+
cos
30°
sin
60°
=
(i)
1
(ii)
0
(iii)
undefined
(iv)
-1
(v)
2
Question
6
6.
In
△GHI
, right angled at
H
,
if
GH = 8 cm
and
HI = 6 cm
,
find
sec
I
(i)
7
3
(ii)
5
(iii)
1
(iv)
5
3
Question
7
7.
Which of the following are true?
a)
tan
θ
=
cot
θ
for no value of
θ
b)
sin
θ
=
cos
θ
for all
θ
c)
sin
(
G
+
H
)
=
sin
G
+
sin
H
d)
cos
(
G
+
H
)
=
cos
G
+
cos
H
e)
tan
(
G
+
H
)
=
tan
G
+
tan
H
f)
The value of
cos
θ
increases as
θ
increases from
0°
to
90°
g)
The value of
sin
θ
increases as
θ
increases from
0°
to
90°
(i)
{e,g}
(ii)
{c,d,g}
(iii)
{a,g}
(iv)
{b,g}
(v)
{g}
Question
8
8.
Given
sec
M
=
6
35
√
35
,
find
cot
M
(i)
1
6
(ii)
6
(iii)
√
35
(iv)
1
6
√
35
(v)
1
35
√
35
Question
9
9.
sin
57°
cos
80°
−
cos
33°
sin
10°
=
(i)
2
sin
57°
(ii)
1
(iii)
2
sin
80°
(iv)
0
(v)
-1
Question
10
10.
Which of the following are true?
a)
cos
90°
=
1
b)
cos
45°
=
1
c)
sin
45°
=
1
d)
sin
0°
=
1
e)
sin
90°
=
1
f)
tan
0°
=
1
g)
tan
90°
=
1
h)
cos
0°
=
1
(i)
{b,h}
(ii)
{a,e}
(iii)
{f,h,e}
(iv)
{c,d,e}
(v)
{e,h}
Question
11
11.
1
−
tan
2
θ
1
+
tan
2
θ
=
(i)
tan
2
θ
(ii)
cot
2
θ
(iii)
sin
2
θ
(iv)
cos
2
θ
Question
12
12.
Express
sin
60°
in terms of
cosec
60°
(i)
1
cosec
60°
(ii)
cosec
60°
√
cosec
2
60°
−
1
(iii)
√
cosec
2
60°
−
1
(iv)
√
cosec
2
60°
−
1
cosec
60°
(v)
1
√
cosec
2
60°
−
1
Question
13
13.
cot
25°
tan
78°
tan
65°
cot
12°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
tan
78°
(v)
tan
25°
Question
14
14.
If
f
=
p
cos
θ
+
q
sin
θ
and
g
=
p
sin
θ
−
q
cos
θ
, then
(i)
(
f
2
+
g
2
)
=
(
p
2
+
q
2
)
(ii)
(
p
2
+
f
2
)
=
(
q
2
+
g
2
)
(iii)
f
g
=
p
q
(iv)
(
f
2
−
g
2
)
=
(
p
2
−
q
2
)
Question
15
15.
Given
sec
A
=
5
12
√
6
,
find
cos
A
(i)
1
12
√
6
(ii)
5
(iii)
2
5
√
6
(iv)
2
√
6
(v)
1
5
Question
16
16.
sec
60°
=
(i)
1
(ii)
2
(iii)
5
(iv)
3
(v)
0
Question
17
17.
cot
D
=
(i)
1
cos
D
(ii)
1
cosec
D
(iii)
1
sec
D
(iv)
1
tan
D
(v)
1
sin
D
Question
18
18.
Find the value of
9
sec
2
θ
−
9
tan
2
θ
(i)
1
(ii)
6
(iii)
0
(iv)
11
(v)
9
Question
19
19.
Given
sin
G
=
1
2
,
find
sec
G
(i)
√
3
(ii)
1
2
√
3
(iii)
2
3
√
3
(iv)
2
(v)
1
3
√
3
Question
20
20.
In the given figure,
cosec
K
=
(i)
5
(ii)
7
3
(iii)
5
3
(iv)
1
Question
21
21.
Given
sin
N
=
3
7
,
find
cosec
N
(i)
7
3
(ii)
7
20
√
10
(iii)
2
7
√
10
(iv)
3
20
√
10
(v)
2
3
√
10
Question
22
22.
For angle values from 0° to 90°, which of the following are true?
a)
The sum of the squares of the sine and cosine values remains a constant
b)
The tangent value of the angle increases
c)
The sine value of the angle increases
d)
The product of the sine and cosine values remains a constant
e)
The cosine value of the angle increases
f)
The cotangent value of the angle increases
(i)
{d,a}
(ii)
{a,b,c}
(iii)
{e,b}
(iv)
{f,d,c}
(v)
{e,a,b}
Question
23
23.
In the given figure, △FHG is right angled at G. If FG = 8 cm and ∠H = 30°, find FH
(i)
15
cm
(ii)
17
cm
(iii)
13
cm
(iv)
16
cm
(v)
19
cm
Question
24
24.
Express
tan
θ
in terms of
sin
θ
(i)
1
√
1
−
sin
2
θ
(ii)
√
1
−
sin
2
θ
(iii)
sin
θ
√
1
−
sin
2
θ
(iv)
1
sin
θ
(v)
√
1
−
sin
2
θ
sin
θ
Question
25
25.
In the given figure, △HJI is right angled at I. If HI = 7 cm and ∠J = 30°, find IJ
(i)
7
cm
(ii)
21
cm
(iii)
7
√
18
cm
(iv)
21
2
√
2
cm
(v)
7
√
3
cm
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (v)
5) (i)
6) (iv)
7) (v)
8) (iii)
9) (iv)
10) (v)
11) (iv)
12) (i)
13) (ii)
14) (i)
15) (iii)
16) (ii)
17) (iv)
18) (v)
19) (iii)
20) (iii)
21) (i)
22) (ii)
23) (iv)
24) (iii)
25) (v)
