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Class VI
Class VII
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Class IX
Class X
CBSE Grade X - Introduction to Trigonometry
Question
1
1.
In the given figure, △IJK is right angled at J. If JK = 9 cm and ∠K = 45°, find IJ and IK
9
cm
&
9
√
2
cm
7
cm
&
21
cm
10
cm
&
18
cm
10
cm
&
21
cm
10
cm
&
9
√
2
cm
Question
2
2.
Which of the following are true?
a)
sec
(
180
−
θ
)
=
−
cosec
θ
b)
cot
(
180
−
θ
)
=
−
cot
θ
c)
cosec
(
180
−
θ
)
=
cosec
θ
d)
sec
(
180
−
θ
)
=
−
sec
θ
e)
cot
(
180
−
θ
)
=
−
tan
θ
f)
cosec
(
180
−
θ
)
=
sec
θ
{e,c}
{a,b}
{f,a,d}
{e,b,c}
{b,c,d}
Question
3
3.
The value of
cosec
44°
in terms of an angle between
0°
and
90°
is
sec
44°
cosec
44°
−
cosec
44°
−
sec
44°
Question
4
4.
Express
cot
33°
in terms of
cos
33°
cos
33°
√
1
−
cos
2
33°
1
√
1
−
cos
2
33°
1
cos
33°
√
1
−
cos
2
33°
cos
33°
√
1
−
cos
2
33°
Question
5
5.
Given that
13
cos
θ
=
12
, find
sin
θ
5
13
13
5
12
5
5
12
13
12
Question
6
6.
In the given figure,
tan
J
=
JI
HJ
JI
KJ
HI
JH
HI
IJ
JH
IJ
Question
7
7.
Given that
15
tan
θ
=
8
, find
sin
θ
17
8
8
17
17
15
15
8
15
17
Question
8
8.
Which of the following are true?
a)
cos
(
90
+
θ
)
=
−
cos
θ
b)
tan
(
90
+
θ
)
=
−
cot
θ
c)
sin
(
90
+
θ
)
=
cos
θ
d)
sin
(
90
+
θ
)
=
−
sin
θ
e)
tan
(
90
+
θ
)
=
−
tan
θ
f)
cos
(
90
+
θ
)
=
−
sin
θ
{d,b,c}
{e,a,f}
{b,c,f}
{d,c}
{a,b}
Question
9
9.
Given that
4
tan
θ
=
3
, find
cot
θ
5
4
5
3
4
3
4
5
3
5
Question
10
10.
The altitude
BE
of
△BCD
in which
∠B
is obtuse is
7 cm
.
If
CE = 7 cm
and
DE
=
7
√
3
cm
,
find
∠CBD
110°
100°
115°
105°
120°
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