EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
If
sin
2
C
=
2
sin
C
, then
C
=
(i)
0°
(ii)
90°
(iii)
30°
(iv)
60°
(v)
45°
Question
2
2.
If
sin
(
H
+
I
)
=
1
2
√
3
and
sin
(
H
−
I
)
=
1
2
,
find
H
&
I
(i)
H
=
47°
,
I
=
17°
(ii)
H
=
46°
,
I
=
16°
(iii)
H
=
45°
,
I
=
15°
(iv)
H
=
43°
,
I
=
13°
(v)
H
=
44°
,
I
=
14°
Question
3
3.
If
tan
(
A
+
B
)
=
√
3
and
tan
(
A
−
B
)
=
√
1
3
,
find
A
&
B
(i)
A
=
44°
,
B
=
14°
(ii)
A
=
46°
,
B
=
16°
(iii)
A
=
45°
,
B
=
15°
(iv)
A
=
47°
,
B
=
17°
(v)
A
=
43°
,
B
=
13°
Question
4
4.
cosec
60°
cosec
45°
−
sin
30°
cot
45°
=
(i)
(
2
3
√
3
−
1
2
)
(ii)
(
2
3
√
6
−
1
)
(iii)
(
2
3
√
6
−
1
4
)
(iv)
(
2
3
√
8
−
1
2
)
(v)
(
2
3
√
6
−
1
2
)
Question
5
5.
tan
0°
sec
60°
−
cos
45°
cot
60°
cos
45°
cosec
30°
−
tan
30°
sec
60°
=
(i)
(
−
1
4
√
14
−
1
6
√
18
)
(ii)
(
−
1
4
√
12
−
1
6
4
√
18
)
(iii)
(
−
1
4
√
12
−
3
)
(iv)
(
−
1
4
√
10
−
1
6
√
18
)
(v)
(
−
1
4
√
12
−
1
6
√
18
)
Question
6
6.
sin
42°
cos
48°
=
(i)
tan
42°
(ii)
0
(iii)
tan
48°
(iv)
1
(v)
-1
Question
7
7.
cos
13°
sin
77°
=
(i)
1
(ii)
tan
77°
(iii)
tan
13°
(iv)
0
(v)
-1
Question
8
8.
tan
86°
cot
4°
=
(i)
tan
4°
(ii)
tan
86°
(iii)
0
(iv)
-1
(v)
1
Question
9
9.
cot
87°
tan
3°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
tan
87°
(v)
tan
3°
Question
10
10.
sec
27°
cosec
63°
=
(i)
0
(ii)
-1
(iii)
tan
27°
(iv)
1
(v)
tan
63°
Question
11
11.
cosec
76°
sec
14°
=
(i)
0
(ii)
1
(iii)
tan
14°
(iv)
tan
76°
(v)
-1
Question
12
12.
sin
65°
cos
73°
cos
25°
sin
17°
=
(i)
tan
73°
(ii)
1
(iii)
0
(iv)
-1
(v)
tan
65°
Question
13
13.
cos
34°
sin
49°
sin
56°
cos
41°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
tan
49°
(v)
tan
34°
Question
14
14.
tan
7°
cot
9°
cot
83°
tan
81°
=
(i)
-1
(ii)
tan
7°
(iii)
0
(iv)
1
(v)
tan
9°
Question
15
15.
cot
38°
tan
61°
tan
52°
cot
29°
=
(i)
tan
61°
(ii)
0
(iii)
-1
(iv)
1
(v)
tan
38°
Question
16
16.
sec
40°
cosec
37°
cosec
50°
sec
53°
=
(i)
0
(ii)
tan
37°
(iii)
-1
(iv)
1
(v)
tan
40°
Question
17
17.
cosec
57°
sec
84°
sec
33°
cosec
6°
=
(i)
tan
84°
(ii)
1
(iii)
-1
(iv)
tan
57°
(v)
0
Question
18
18.
sin
17°
−
cos
73°
=
(i)
0
(ii)
-1
(iii)
2
sin
73°
(iv)
1
(v)
2
sin
17°
Question
19
19.
cos
20°
−
sin
70°
=
(i)
2
sin
70°
(ii)
0
(iii)
-1
(iv)
2
sin
20°
(v)
1
Question
20
20.
tan
32°
−
cot
58°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
2
sin
32°
(v)
2
sin
58°
Question
21
21.
cot
72°
−
tan
18°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
2
sin
18°
(v)
2
sin
72°
Question
22
22.
sec
88°
−
cosec
2°
=
(i)
2
sin
88°
(ii)
-1
(iii)
2
sin
2°
(iv)
0
(v)
1
Question
23
23.
cosec
23°
−
sec
67°
=
(i)
2
sin
23°
(ii)
2
sin
67°
(iii)
-1
(iv)
1
(v)
0
Question
24
24.
sin
5°
cos
17°
−
cos
85°
sin
73°
=
(i)
2
sin
5°
(ii)
1
(iii)
0
(iv)
2
sin
17°
(v)
-1
Question
25
25.
cos
47°
sin
50°
−
sin
43°
cos
40°
=
(i)
2
sin
50°
(ii)
0
(iii)
1
(iv)
-1
(v)
2
sin
47°
Question
26
26.
tan
78°
cot
43°
−
cot
12°
tan
47°
=
(i)
-1
(ii)
2
sin
43°
(iii)
0
(iv)
1
(v)
2
sin
78°
Question
27
27.
cot
29°
tan
78°
−
tan
61°
cot
12°
=
(i)
0
(ii)
-1
(iii)
2
sin
78°
(iv)
2
sin
29°
(v)
1
Question
28
28.
sec
30°
cosec
45°
−
cosec
60°
sec
45°
=
(i)
0
(ii)
1
(iii)
2
sin
45°
(iv)
-1
(v)
2
sin
30°
Question
29
29.
cosec
33°
sec
58°
−
sec
57°
cosec
32°
=
(i)
-1
(ii)
0
(iii)
2
sin
33°
(iv)
2
sin
58°
(v)
1
Question
30
30.
sin
30°
cos
0°
+
cos
30°
sin
0°
=
(i)
3
2
(ii)
1
(iii)
1
2
(iv)
(
−
1
2
)
(v)
1
4
Question
31
31.
In
△LMN
, right angled at
M
,
if
tan
L
=
5
7
,
find
sin
L
cos
N
+
cos
L
sin
N
(i)
1
(ii)
7
74
√
74
(iii)
1
5
√
74
(iv)
1
7
√
74
(v)
5
74
√
74
Question
32
32.
In
△GHI
, right angled at
H
,
if
tan
G
=
1
3
,
find
cos
G
cos
I
−
sin
G
sin
I
(i)
√
10
(ii)
0
(iii)
1
10
√
10
(iv)
3
10
√
10
(v)
1
3
√
10
Question
33
33.
Find the value of
tan
15°
tan
40°
tan
75°
tan
50°
(i)
0
(ii)
1
(iii)
undefined
(iv)
-1
(v)
2
Question
34
34.
Find the value of
cot
5°
cot
20°
cot
85°
cot
70°
(i)
-1
(ii)
0
(iii)
2
(iv)
undefined
(v)
1
Question
35
35.
sin
2
15°
+
sin
2
75°
cos
2
35°
+
cos
2
55°
=
(i)
0
(ii)
-1
(iii)
2
(iv)
undefined
(v)
1
Question
36
36.
sin
15°
cos
75°
+
cos
15°
sin
75°
sin
25°
cos
65°
+
cos
25°
sin
65°
=
(i)
2
(ii)
1
(iii)
0
(iv)
-1
(v)
undefined
Question
37
37.
sin
42°
+
cos
56°
=
(i)
cos
48°
+
cos
34°
(ii)
sin
42°
+
sin
56°
(iii)
cos
48°
+
sin
34°
(iv)
cos
42°
+
sin
56°
Question
38
38.
cos
52°
+
sin
53°
=
(i)
sin
38°
+
cos
37°
(ii)
sin
52°
+
cos
53°
(iii)
sin
38°
+
sin
37°
(iv)
cos
52°
+
cos
53°
Question
39
39.
tan
30°
+
cot
64°
=
(i)
cot
60°
+
cot
26°
(ii)
cot
30°
+
tan
64°
(iii)
cot
60°
+
tan
26°
(iv)
tan
30°
+
tan
64°
Question
40
40.
cot
56°
+
tan
27°
=
(i)
tan
34°
+
cot
63°
(ii)
tan
34°
+
tan
63°
(iii)
cot
56°
+
cot
27°
(iv)
tan
56°
+
cot
27°
Question
41
41.
sec
31°
+
cosec
31°
=
(i)
cosec
59°
+
sec
59°
(ii)
cosec
31°
+
sec
31°
(iii)
2
cosec
59°
(iv)
2
sec
31°
Question
42
42.
cosec
64°
+
sec
71°
=
(i)
sec
26°
+
sec
19°
(ii)
cosec
64°
+
cosec
71°
(iii)
sec
26°
+
cosec
19°
(iv)
sec
64°
+
cosec
71°
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (v)
5) (v)
6) (iv)
7) (i)
8) (v)
9) (ii)
10) (iv)
11) (ii)
12) (ii)
13) (iii)
14) (iv)
15) (iv)
16) (iv)
17) (ii)
18) (i)
19) (ii)
20) (i)
21) (ii)
22) (iv)
23) (v)
24) (iii)
25) (ii)
26) (iii)
27) (i)
28) (i)
29) (ii)
30) (iii)
31) (i)
32) (ii)
33) (ii)
34) (v)
35) (v)
36) (ii)
37) (iii)
38) (i)
39) (iii)
40) (i)
41) (i)
42) (iii)
