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ICSE Grade IX - Trigonometrical Ratios
Question
1
1.
Find the value of
tan
25°
tan
10°
tan
65°
tan
80°
undefined
1
0
-1
2
Question
2
2.
In the given figure, △BDC is right angled at C. If BC = 26 cm and ∠D = 60°, find CD
13
√
2
cm
26
3
√
3
cm
26
3
√
18
cm
26
cm
26
3
cm
Question
3
3.
cos
16°
sin
42°
−
sin
74°
cos
48°
=
-1
2
sin
42°
2
sin
16°
1
0
Question
4
4.
If
cot
θ
=
3
7
, find
(
1
+
sin
θ
)
(
1
−
sin
θ
)
(
1
−
cos
θ
)
(
1
+
cos
θ
)
9
49
1
7
11
49
3
17
9
47
Question
5
5.
tan
80°
cot
10°
=
-1
tan
10°
tan
80°
1
0
Question
6
6.
Given
sin
F
=
1
2
,
find
cot
F
2
3
√
3
1
3
√
3
1
2
√
3
√
3
2
Question
7
7.
Given that
17
cos
θ
=
15
, find
sec
θ
17
8
15
8
8
15
17
15
8
17
Question
8
8.
Given
tan
P
=
5
12
√
6
,
find
sin
P
7
12
√
6
7
5
2
5
√
6
2
7
√
6
5
7
Question
9
9.
In the given figure, if
EG
+
FG
=
18 cm
,
and
EF = 6 cm
,
find
cos
E
1
5
3
7
3
5
1
Question
10
10.
tan
J
=
1
cot
J
1
sin
J
1
cos
J
1
cosec
J
1
sec
J
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