EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
If
sin
2
G
=
2
sin
G
, then
G
=
(i)
30°
(ii)
0°
(iii)
60°
(iv)
90°
(v)
45°
Question
2
2.
If
sin
(
E
+
F
)
=
1
2
√
3
and
sin
(
E
−
F
)
=
1
2
,
find
E
&
F
(i)
E
=
44°
,
F
=
14°
(ii)
E
=
46°
,
F
=
16°
(iii)
E
=
43°
,
F
=
13°
(iv)
E
=
47°
,
F
=
17°
(v)
E
=
45°
,
F
=
15°
Question
3
3.
If
tan
(
G
+
H
)
=
√
3
and
tan
(
G
−
H
)
=
√
1
3
,
find
G
&
H
(i)
G
=
45°
,
H
=
15°
(ii)
G
=
46°
,
H
=
16°
(iii)
G
=
43°
,
H
=
13°
(iv)
G
=
47°
,
H
=
17°
(v)
G
=
44°
,
H
=
14°
Question
4
4.
cot
90°
cosec
60°
sec
0°
+
sec
60°
sin
60°
sin
90°
=
(i)
4
√
3
(ii)
√
5
(iii)
3
(iv)
√
1
3
(v)
√
3
Question
5
5.
sin
45°
tan
0°
cos
60°
−
cosec
60°
sec
45°
cot
60°
cos
90°
tan
30°
cot
45°
+
sin
30°
sin
90°
sec
60°
=
(i)
(
−
2
3
√
5
)
(ii)
(
−
2
3
√
2
)
(iii)
(
−
4
3
)
(iv)
(
−
2
3
√
1
2
)
(v)
(
−
2
3
4
√
2
)
Question
6
6.
sin
79°
cos
11°
=
(i)
tan
79°
(ii)
-1
(iii)
0
(iv)
1
(v)
tan
11°
Question
7
7.
cos
74°
sin
16°
=
(i)
tan
74°
(ii)
0
(iii)
1
(iv)
-1
(v)
tan
16°
Question
8
8.
tan
56°
cot
34°
=
(i)
-1
(ii)
tan
56°
(iii)
tan
34°
(iv)
0
(v)
1
Question
9
9.
cot
45°
tan
45°
=
(i)
tan
45°
(ii)
0
(iii)
-1
(iv)
1
Question
10
10.
sec
46°
cosec
44°
=
(i)
0
(ii)
tan
46°
(iii)
-1
(iv)
1
(v)
tan
44°
Question
11
11.
cosec
57°
sec
33°
=
(i)
-1
(ii)
tan
33°
(iii)
0
(iv)
1
(v)
tan
57°
Question
12
12.
sin
6°
cos
79°
cos
84°
sin
11°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
tan
6°
(v)
tan
79°
Question
13
13.
cos
54°
sin
43°
sin
36°
cos
47°
=
(i)
-1
(ii)
tan
43°
(iii)
0
(iv)
tan
54°
(v)
1
Question
14
14.
tan
56°
cot
74°
cot
34°
tan
16°
=
(i)
tan
56°
(ii)
1
(iii)
tan
74°
(iv)
0
(v)
-1
Question
15
15.
cot
84°
tan
60°
tan
6°
cot
30°
=
(i)
-1
(ii)
0
(iii)
tan
84°
(iv)
tan
60°
(v)
1
Question
16
16.
sec
15°
cosec
86°
cosec
75°
sec
4°
=
(i)
1
(ii)
tan
15°
(iii)
tan
86°
(iv)
0
(v)
-1
Question
17
17.
cosec
6°
sec
27°
sec
84°
cosec
63°
=
(i)
0
(ii)
tan
27°
(iii)
1
(iv)
-1
(v)
tan
6°
Question
18
18.
sin
10°
−
cos
80°
=
(i)
0
(ii)
1
(iii)
2
sin
80°
(iv)
2
sin
10°
(v)
-1
Question
19
19.
cos
24°
−
sin
66°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
2
sin
66°
(v)
2
sin
24°
Question
20
20.
tan
13°
−
cot
77°
=
(i)
2
sin
13°
(ii)
0
(iii)
1
(iv)
2
sin
77°
(v)
-1
Question
21
21.
cot
52°
−
tan
38°
=
(i)
1
(ii)
2
sin
38°
(iii)
2
sin
52°
(iv)
0
(v)
-1
Question
22
22.
sec
71°
−
cosec
19°
=
(i)
0
(ii)
2
sin
19°
(iii)
-1
(iv)
1
(v)
2
sin
71°
Question
23
23.
cosec
76°
−
sec
14°
=
(i)
0
(ii)
2
sin
14°
(iii)
1
(iv)
-1
(v)
2
sin
76°
Question
24
24.
sin
9°
cos
40°
−
cos
81°
sin
50°
=
(i)
1
(ii)
2
sin
9°
(iii)
-1
(iv)
0
(v)
2
sin
40°
Question
25
25.
cos
38°
sin
61°
−
sin
52°
cos
29°
=
(i)
0
(ii)
2
sin
38°
(iii)
1
(iv)
2
sin
61°
(v)
-1
Question
26
26.
tan
35°
cot
12°
−
cot
55°
tan
78°
=
(i)
1
(ii)
0
(iii)
2
sin
12°
(iv)
2
sin
35°
(v)
-1
Question
27
27.
cot
75°
tan
24°
−
tan
15°
cot
66°
=
(i)
2
sin
75°
(ii)
-1
(iii)
1
(iv)
0
(v)
2
sin
24°
Question
28
28.
sec
61°
cosec
5°
−
cosec
29°
sec
85°
=
(i)
1
(ii)
2
sin
5°
(iii)
-1
(iv)
0
(v)
2
sin
61°
Question
29
29.
cosec
80°
sec
47°
−
sec
10°
cosec
43°
=
(i)
2
sin
47°
(ii)
-1
(iii)
1
(iv)
2
sin
80°
(v)
0
Question
30
30.
sin
90°
cos
30°
+
cos
90°
sin
30°
=
(i)
3
2
(ii)
1
2
4
√
3
(iii)
1
2
√
1
3
(iv)
1
2
√
5
(v)
1
2
√
3
Question
31
31.
In
△LMN
, right angled at
M
,
if
tan
L
=
1
2
,
find
sin
L
cos
N
+
cos
L
sin
N
(i)
1
(ii)
√
5
(iii)
1
5
√
5
(iv)
1
2
√
5
(v)
2
5
√
5
Question
32
32.
In
△BCD
, right angled at
C
,
if
tan
B
=
1
2
,
find
cos
B
cos
D
−
sin
B
sin
D
(i)
1
5
√
5
(ii)
1
2
√
5
(iii)
2
5
√
5
(iv)
0
(v)
√
5
Question
33
33.
Find the value of
tan
5°
tan
20°
tan
85°
tan
70°
(i)
2
(ii)
0
(iii)
-1
(iv)
undefined
(v)
1
Question
34
34.
Find the value of
cot
70°
cot
75°
cot
20°
cot
15°
(i)
-1
(ii)
2
(iii)
0
(iv)
1
(v)
undefined
Question
35
35.
sin
2
30°
+
sin
2
60°
cos
2
65°
+
cos
2
25°
=
(i)
2
(ii)
0
(iii)
-1
(iv)
undefined
(v)
1
Question
36
36.
sin
30°
cos
60°
+
cos
30°
sin
60°
sin
60°
cos
30°
+
cos
60°
sin
30°
=
(i)
undefined
(ii)
-1
(iii)
1
(iv)
2
(v)
0
Question
37
37.
sin
51°
+
cos
14°
=
(i)
cos
39°
+
cos
76°
(ii)
sin
51°
+
sin
14°
(iii)
cos
39°
+
sin
76°
(iv)
cos
51°
+
sin
14°
Question
38
38.
cos
23°
+
sin
46°
=
(i)
sin
23°
+
cos
46°
(ii)
cos
23°
+
cos
46°
(iii)
sin
67°
+
cos
44°
(iv)
sin
67°
+
sin
44°
Question
39
39.
tan
45°
+
cot
64°
=
(i)
cot
45°
+
tan
26°
(ii)
tan
45°
+
tan
64°
(iii)
cot
45°
+
tan
64°
(iv)
cot
45°
+
cot
26°
Question
40
40.
cot
34°
+
tan
34°
=
(i)
2
tan
56°
(ii)
tan
34°
+
cot
34°
(iii)
2
cot
34°
(iv)
tan
56°
+
cot
56°
Question
41
41.
sec
39°
+
cosec
49°
=
(i)
cosec
51°
+
cosec
41°
(ii)
cosec
39°
+
sec
49°
(iii)
sec
39°
+
sec
49°
(iv)
cosec
51°
+
sec
41°
Question
42
42.
cosec
53°
+
sec
32°
=
(i)
cosec
53°
+
cosec
32°
(ii)
sec
37°
+
sec
58°
(iii)
sec
53°
+
cosec
32°
(iv)
sec
37°
+
cosec
58°
Assignment Key
1) (ii)
2) (v)
3) (i)
4) (v)
5) (ii)
6) (iv)
7) (iii)
8) (v)
9) (iv)
10) (iv)
11) (iv)
12) (i)
13) (v)
14) (ii)
15) (v)
16) (i)
17) (iii)
18) (i)
19) (ii)
20) (ii)
21) (iv)
22) (i)
23) (i)
24) (iv)
25) (i)
26) (ii)
27) (iv)
28) (iv)
29) (v)
30) (v)
31) (i)
32) (iv)
33) (v)
34) (iv)
35) (v)
36) (iii)
37) (iii)
38) (iii)
39) (i)
40) (iv)
41) (iv)
42) (iv)
