EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
If
sin
2
E
=
2
sin
E
, then
E
=
(i)
90°
(ii)
45°
(iii)
60°
(iv)
30°
(v)
0°
Question
2
2.
If
sin
(
D
+
E
)
=
1
2
√
3
and
sin
(
D
−
E
)
=
1
2
,
find
D
&
E
(i)
D
=
44°
,
E
=
14°
(ii)
D
=
45°
,
E
=
15°
(iii)
D
=
47°
,
E
=
17°
(iv)
D
=
43°
,
E
=
13°
(v)
D
=
46°
,
E
=
16°
Question
3
3.
If
tan
(
H
+
I
)
=
√
3
and
tan
(
H
−
I
)
=
√
1
3
,
find
H
&
I
(i)
H
=
44°
,
I
=
14°
(ii)
H
=
47°
,
I
=
17°
(iii)
H
=
43°
,
I
=
13°
(iv)
H
=
45°
,
I
=
15°
(v)
H
=
46°
,
I
=
16°
Question
4
4.
sin
0°
cos
0°
−
sec
0°
cos
90°
=
(i)
3
(ii)
0
(iii)
(
−
1
)
(iv)
(
−
3
)
(v)
1
Question
5
5.
sin
30°
cosec
45°
tan
30°
−
sin
60°
cot
45°
sec
30°
cot
45°
cosec
60°
+
sec
30°
sin
90°
=
(i)
(
1
24
√
18
−
1
4
4
√
3
)
(ii)
(
1
24
√
15
−
1
4
√
3
)
(iii)
(
1
24
√
18
−
1
4
√
3
)
(iv)
(
1
24
√
20
−
1
4
√
3
)
(v)
(
1
24
√
18
−
3
4
)
Question
6
6.
sin
84°
cos
6°
=
(i)
-1
(ii)
tan
84°
(iii)
1
(iv)
tan
6°
(v)
0
Question
7
7.
cos
38°
sin
52°
=
(i)
1
(ii)
0
(iii)
tan
38°
(iv)
tan
52°
(v)
-1
Question
8
8.
tan
43°
cot
47°
=
(i)
-1
(ii)
1
(iii)
tan
47°
(iv)
tan
43°
(v)
0
Question
9
9.
cot
15°
tan
75°
=
(i)
tan
15°
(ii)
0
(iii)
1
(iv)
-1
(v)
tan
75°
Question
10
10.
sec
74°
cosec
16°
=
(i)
1
(ii)
tan
74°
(iii)
-1
(iv)
tan
16°
(v)
0
Question
11
11.
cosec
10°
sec
80°
=
(i)
1
(ii)
tan
80°
(iii)
0
(iv)
tan
10°
(v)
-1
Question
12
12.
sin
57°
cos
40°
cos
33°
sin
50°
=
(i)
tan
40°
(ii)
0
(iii)
-1
(iv)
1
(v)
tan
57°
Question
13
13.
cos
4°
sin
28°
sin
86°
cos
62°
=
(i)
0
(ii)
tan
4°
(iii)
1
(iv)
-1
(v)
tan
28°
Question
14
14.
tan
69°
cot
13°
cot
21°
tan
77°
=
(i)
tan
13°
(ii)
1
(iii)
-1
(iv)
tan
69°
(v)
0
Question
15
15.
cot
14°
tan
53°
tan
76°
cot
37°
=
(i)
1
(ii)
-1
(iii)
tan
14°
(iv)
0
(v)
tan
53°
Question
16
16.
sec
70°
cosec
37°
cosec
20°
sec
53°
=
(i)
tan
37°
(ii)
tan
70°
(iii)
1
(iv)
-1
(v)
0
Question
17
17.
cosec
83°
sec
72°
sec
7°
cosec
18°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
tan
83°
(v)
tan
72°
Question
18
18.
sin
26°
−
cos
64°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
2
sin
64°
(v)
2
sin
26°
Question
19
19.
cos
5°
−
sin
85°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
2
sin
85°
(v)
2
sin
5°
Question
20
20.
tan
76°
−
cot
14°
=
(i)
2
sin
76°
(ii)
-1
(iii)
1
(iv)
0
(v)
2
sin
14°
Question
21
21.
cot
9°
−
tan
81°
=
(i)
1
(ii)
0
(iii)
2
sin
81°
(iv)
-1
(v)
2
sin
9°
Question
22
22.
sec
4°
−
cosec
86°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
2
sin
4°
(v)
2
sin
86°
Question
23
23.
cosec
42°
−
sec
48°
=
(i)
2
sin
42°
(ii)
0
(iii)
-1
(iv)
2
sin
48°
(v)
1
Question
24
24.
sin
78°
cos
36°
−
cos
12°
sin
54°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
2
sin
78°
(v)
2
sin
36°
Question
25
25.
cos
29°
sin
70°
−
sin
61°
cos
20°
=
(i)
1
(ii)
0
(iii)
2
sin
29°
(iv)
2
sin
70°
(v)
-1
Question
26
26.
tan
58°
cot
10°
−
cot
32°
tan
80°
=
(i)
1
(ii)
2
sin
10°
(iii)
2
sin
58°
(iv)
0
(v)
-1
Question
27
27.
cot
3°
tan
36°
−
tan
87°
cot
54°
=
(i)
2
sin
36°
(ii)
-1
(iii)
2
sin
3°
(iv)
0
(v)
1
Question
28
28.
sec
14°
cosec
32°
−
cosec
76°
sec
58°
=
(i)
2
sin
32°
(ii)
2
sin
14°
(iii)
1
(iv)
-1
(v)
0
Question
29
29.
cosec
19°
sec
57°
−
sec
71°
cosec
33°
=
(i)
2
sin
57°
(ii)
-1
(iii)
2
sin
19°
(iv)
1
(v)
0
Question
30
30.
sin
0°
cos
90°
+
cos
0°
sin
90°
=
(i)
(
−
1
)
(ii)
4
(iii)
0
(iv)
2
(v)
1
Question
31
31.
In
△JKL
, right angled at
K
,
if
tan
J
=
5
6
,
find
sin
J
cos
L
+
cos
J
sin
L
(i)
1
5
√
61
(ii)
1
6
√
61
(iii)
1
(iv)
6
61
√
61
(v)
5
61
√
61
Question
32
32.
In
△FGH
, right angled at
G
,
if
tan
F
=
2
9
,
find
cos
F
cos
H
−
sin
F
sin
H
(i)
2
85
√
85
(ii)
1
2
√
85
(iii)
1
9
√
85
(iv)
0
(v)
9
85
√
85
Question
33
33.
Find the value of
tan
50°
tan
75°
tan
40°
tan
15°
(i)
0
(ii)
-1
(iii)
1
(iv)
2
(v)
undefined
Question
34
34.
Find the value of
cot
65°
cot
20°
cot
25°
cot
70°
(i)
undefined
(ii)
-1
(iii)
0
(iv)
2
(v)
1
Question
35
35.
sin
2
5°
+
sin
2
85°
cos
2
30°
+
cos
2
60°
=
(i)
2
(ii)
undefined
(iii)
0
(iv)
-1
(v)
1
Question
36
36.
sin
50°
cos
40°
+
cos
50°
sin
40°
sin
30°
cos
60°
+
cos
30°
sin
60°
=
(i)
0
(ii)
-1
(iii)
undefined
(iv)
1
(v)
2
Question
37
37.
sin
52°
+
cos
73°
=
(i)
sin
52°
+
sin
73°
(ii)
cos
52°
+
sin
73°
(iii)
cos
38°
+
cos
17°
(iv)
cos
38°
+
sin
17°
Question
38
38.
cos
52°
+
sin
67°
=
(i)
sin
38°
+
cos
23°
(ii)
cos
52°
+
cos
67°
(iii)
sin
52°
+
cos
67°
(iv)
sin
38°
+
sin
23°
Question
39
39.
tan
25°
+
cot
12°
=
(i)
cot
65°
+
tan
78°
(ii)
cot
25°
+
tan
12°
(iii)
tan
25°
+
tan
12°
(iv)
cot
65°
+
cot
78°
Question
40
40.
cot
50°
+
tan
40°
=
(i)
tan
40°
+
tan
50°
(ii)
tan
40°
+
cot
50°
(iii)
tan
50°
+
cot
40°
(iv)
cot
50°
+
cot
40°
Question
41
41.
sec
71°
+
cosec
30°
=
(i)
cosec
19°
+
cosec
60°
(ii)
sec
71°
+
sec
30°
(iii)
cosec
71°
+
sec
30°
(iv)
cosec
19°
+
sec
60°
Question
42
42.
cosec
25°
+
sec
46°
=
(i)
cosec
25°
+
cosec
46°
(ii)
sec
25°
+
cosec
46°
(iii)
sec
65°
+
sec
44°
(iv)
sec
65°
+
cosec
44°
Assignment Key
1) (v)
2) (ii)
3) (iv)
4) (ii)
5) (iii)
6) (iii)
7) (i)
8) (ii)
9) (iii)
10) (i)
11) (i)
12) (iv)
13) (iii)
14) (ii)
15) (i)
16) (iii)
17) (iii)
18) (ii)
19) (i)
20) (iv)
21) (ii)
22) (ii)
23) (ii)
24) (iii)
25) (ii)
26) (iv)
27) (iv)
28) (v)
29) (v)
30) (v)
31) (iii)
32) (iv)
33) (iii)
34) (v)
35) (v)
36) (iv)
37) (iv)
38) (i)
39) (i)
40) (ii)
41) (iv)
42) (iv)
