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Class VI
Class VII
Class VIII
Class IX
Class X
SSC Grade X - Trigonometry
Question
1
1.
Given
cosec
E
=
8
7
,
find
cot
E
1
8
√
15
7
15
√
15
8
15
√
15
1
7
√
15
7
8
Question
2
2.
In
△IJK
, right angled at
J
,
if
IJ = 24 cm
and
JK = 10 cm
,
find
cos
I
4
5
12
13
10
13
14
13
12
11
Question
3
3.
Express
sec
63°
in terms of
tan
63°
√
1
+
tan
2
63°
tan
63°
1
√
1
+
tan
2
63°
√
1
+
tan
2
63°
1
tan
63°
tan
63°
√
1
+
tan
2
63°
Question
4
4.
Express
tan
55°
in terms of
cos
55°
1
cos
55°
1
√
1
−
cos
2
55°
√
1
−
cos
2
55°
√
1
−
cos
2
55°
cos
55°
cos
55°
√
1
−
cos
2
55°
Question
5
5.
Given
cot
K
=
15
8
,
find
sin
K
8
17
15
17
8
15
17
8
17
15
Question
6
6.
Which of the following are true?
a)
cos
3
θ
−
sin
3
θ
=
(
sin
θ
+
cos
θ
)
(
1
−
sin
θ
cos
θ
)
b)
sec
θ
1
+
cosec
θ
=
1
−
cosec
θ
sec
θ
c)
(
sin
θ
+
cos
θ
)
2
=
1
+
sin
2
θ
d)
cos
3
θ
+
sin
3
θ
=
(
sin
θ
+
cos
θ
)
(
1
−
sin
θ
cos
θ
)
e)
(
sin
θ
−
cos
θ
)
2
=
1
+
sin
2
θ
f)
cos
θ
1
+
sin
θ
=
1
−
sin
θ
cos
θ
g)
(
sin
θ
+
cos
θ
)
2
+
(
sin
θ
−
cos
θ
)
2
=
2
{b,g,c}
{b,d}
{a,c}
{c,d,f,g}
{e,a,f}
Question
7
7.
From the given figure,
find
sin
(
90
−
K
)
IJ
IK
JK
IK
IJ
JK
JK
IJ
IK
IJ
Question
8
8.
Express
tan
θ
in terms of
sec
θ
√
sec
2
θ
−
1
sec
θ
1
√
sec
2
θ
−
1
√
sec
2
θ
−
1
1
sec
θ
sec
θ
√
sec
2
θ
−
1
Question
9
9.
sin
60°
cos
17°
−
cos
30°
sin
73°
=
2
sin
60°
1
0
2
sin
17°
-1
Question
10
10.
Express
tan
43°
in terms of
cosec
43°
1
√
cosec
2
43°
−
1
1
cosec
43°
cosec
43°
√
cosec
2
43°
−
1
√
cosec
2
43°
−
1
cosec
43°
√
cosec
2
43°
−
1
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