EduSahara™ Assignment
Name : Finding Values
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
1
−
tan
2
80°
1
+
tan
2
80°
=
(i)
sin
160°
(ii)
tan
160°
(iii)
cos
160°
(iv)
cot
160°
Question
2
2.
If
sin
2
D
=
2
sin
D
, then
D
=
(i)
0°
(ii)
45°
(iii)
90°
(iv)
30°
(v)
60°
Question
3
3.
If
sin
(
A
+
B
)
=
1
2
√
3
and
sin
(
A
−
B
)
=
1
2
,
find
A
&
B
(i)
A
=
45°
,
B
=
15°
(ii)
A
=
46°
,
B
=
16°
(iii)
A
=
47°
,
B
=
17°
(iv)
A
=
43°
,
B
=
13°
(v)
A
=
44°
,
B
=
14°
Question
4
4.
If
tan
(
D
+
E
)
=
√
3
and
tan
(
D
−
E
)
=
√
1
3
,
find
D
&
E
(i)
D
=
44°
,
E
=
14°
(ii)
D
=
46°
,
E
=
16°
(iii)
D
=
47°
,
E
=
17°
(iv)
D
=
45°
,
E
=
15°
(v)
D
=
43°
,
E
=
13°
Question
5
5.
In
△GHI
, right angled at
H
,
if
tan
G
=
2
3
,
find
sin
G
cos
I
+
cos
G
sin
I
(i)
1
3
√
13
(ii)
1
2
√
13
(iii)
3
13
√
13
(iv)
1
(v)
2
13
√
13
Question
6
6.
In
△MNO
, right angled at
N
,
if
tan
M
=
2
9
,
find
cos
M
cos
O
−
sin
M
sin
O
(i)
9
85
√
85
(ii)
1
2
√
85
(iii)
2
85
√
85
(iv)
0
(v)
1
9
√
85
Question
7
7.
If
cot
θ
=
1
3
, find
(
1
+
sin
θ
)
(
1
−
sin
θ
)
(
1
−
cos
θ
)
(
1
+
cos
θ
)
(i)
1
7
(ii)
(
-1
9
)
(iii)
1
3
(iv)
1
9
(v)
1
11
Question
8
8.
If
tan
θ
=
3
4
, find
(
1
+
cos
θ
)
(
1
−
cos
θ
)
(
1
+
sin
θ
)
(
1
−
sin
θ
)
(i)
9
16
(ii)
11
16
(iii)
9
14
(iv)
1
2
(v)
7
16
Question
9
9.
Find the value of
3
sec
2
θ
−
3
tan
2
θ
(i)
0
(ii)
1
(iii)
5
(iv)
3
Question
10
10.
Find the value of
(
1
+
tan
θ
+
sec
θ
)
(
1
+
cot
θ
−
cosec
θ
)
(i)
1
(ii)
3
(iii)
5
(iv)
0
(v)
2
Question
11
11.
Given A =
45°
, B =
30°
, find
tan
75°
(i)
(
4
+
√
3
)
(ii)
(
2
+
√
3
)
(iii)
(
2
−
√
3
)
(iv)
(
−
1
+
√
3
)
(v)
(
2
+
3
)
Question
12
12.
Given A =
45°
, B =
30°
, find
tan
15°
(i)
(
2
−
3
)
(ii)
(
−
1
−
√
3
)
(iii)
(
4
−
√
3
)
(iv)
(
2
+
√
3
)
(v)
(
2
−
√
3
)
Question
13
13.
If
tan
θ
+
cot
θ
=
7
, find
tan
2
θ
+
cot
2
θ
(i)
46
(ii)
47
(iii)
48
(iv)
50
(v)
45
Question
14
14.
If
tan
θ
−
cot
θ
=
5
, find
tan
2
θ
+
cot
2
θ
(i)
29
(ii)
28
(iii)
26
(iv)
24
(v)
27
Question
15
15.
If
sin
8
x
=
cos
(
(
x
+
18
)
)
, then
x
=
(i)
9
(ii)
5
(iii)
8
(iv)
11
(v)
7
Question
16
16.
If
cos
6
x
=
sin
(
(
x
−
8
)
)
, then
x
=
(i)
14
(ii)
17
(iii)
11
(iv)
13
(v)
15
Question
17
17.
If
tan
5
x
=
cot
(
(
x
+
12
)
)
, then
x
=
(i)
14
(ii)
12
(iii)
11
(iv)
16
(v)
13
Question
18
18.
If
cot
5
x
=
tan
(
(
x
+
12
)
)
, then
x
=
(i)
13
(ii)
14
(iii)
12
(iv)
10
(v)
16
Question
19
19.
If
sec
5
x
=
cosec
(
(
x
+
48
)
)
, then
x
=
(i)
6
(ii)
7
(iii)
5
(iv)
9
(v)
8
Question
20
20.
If
cosec
5
x
=
sec
(
(
x
+
60
)
)
, then
x
=
(i)
4
(ii)
3
(iii)
7
(iv)
5
(v)
6
Question
21
21.
If
V
,
W
and
X
are the interior angles of a triangle, then
sin
(
V + W
2
)
=
(i)
sin
(
V
2
)
(ii)
cos
(
V
2
)
(iii)
cos
(
X
2
)
(iv)
sin
X
(v)
sin
(
X
2
)
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (iv)
5) (iv)
6) (iv)
7) (iv)
8) (i)
9) (iv)
10) (v)
11) (ii)
12) (v)
13) (ii)
14) (v)
15) (iii)
16) (i)
17) (v)
18) (i)
19) (ii)
20) (iv)
21) (iii)
