EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
If
sin
2
H
=
2
sin
H
, then
H
=
(i)
60°
(ii)
45°
(iii)
30°
(iv)
90°
(v)
0°
Question
2
2.
If
sin
(
C
+
D
)
=
1
2
√
3
and
sin
(
C
−
D
)
=
1
2
,
find
C
&
D
(i)
C
=
45°
,
D
=
15°
(ii)
C
=
46°
,
D
=
16°
(iii)
C
=
43°
,
D
=
13°
(iv)
C
=
47°
,
D
=
17°
(v)
C
=
44°
,
D
=
14°
Question
3
3.
If
tan
(
E
+
F
)
=
√
3
and
tan
(
E
−
F
)
=
√
1
3
,
find
E
&
F
(i)
E
=
43°
,
F
=
13°
(ii)
E
=
46°
,
F
=
16°
(iii)
E
=
44°
,
F
=
14°
(iv)
E
=
47°
,
F
=
17°
(v)
E
=
45°
,
F
=
15°
Question
4
4.
sec
0°
sec
60°
cos
30°
−
cot
60°
cosec
30°
sin
0°
=
(i)
√
3
(ii)
3
(iii)
4
√
3
(iv)
√
5
(v)
1
Question
5
5.
cos
60°
cos
0°
cos
45°
+
sec
45°
cosec
45°
cos
30°
sec
0°
cot
30°
cot
60°
−
cot
45°
cos
30°
sin
60°
=
(i)
(
√
2
+
4
√
3
)
(ii)
(
√
1
2
+
4
√
3
)
(iii)
(
√
4
+
4
√
3
)
(iv)
(
√
2
+
4
4
√
3
)
(v)
(
√
2
+
12
)
Question
6
6.
sin
43°
cos
47°
=
(i)
tan
47°
(ii)
1
(iii)
-1
(iv)
tan
43°
(v)
0
Question
7
7.
cos
19°
sin
71°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
tan
19°
(v)
tan
71°
Question
8
8.
tan
17°
cot
73°
=
(i)
tan
73°
(ii)
-1
(iii)
tan
17°
(iv)
0
(v)
1
Question
9
9.
cot
64°
tan
26°
=
(i)
-1
(ii)
0
(iii)
tan
64°
(iv)
1
(v)
tan
26°
Question
10
10.
sec
3°
cosec
87°
=
(i)
-1
(ii)
tan
3°
(iii)
0
(iv)
1
(v)
tan
87°
Question
11
11.
cosec
54°
sec
36°
=
(i)
tan
54°
(ii)
-1
(iii)
0
(iv)
1
(v)
tan
36°
Question
12
12.
sin
78°
cos
49°
cos
12°
sin
41°
=
(i)
tan
78°
(ii)
1
(iii)
-1
(iv)
0
(v)
tan
49°
Question
13
13.
cos
71°
sin
14°
sin
19°
cos
76°
=
(i)
tan
71°
(ii)
0
(iii)
tan
14°
(iv)
-1
(v)
1
Question
14
14.
tan
64°
cot
44°
cot
26°
tan
46°
=
(i)
-1
(ii)
tan
44°
(iii)
1
(iv)
tan
64°
(v)
0
Question
15
15.
cot
10°
tan
68°
tan
80°
cot
22°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
tan
10°
(v)
tan
68°
Question
16
16.
sec
52°
cosec
36°
cosec
38°
sec
54°
=
(i)
1
(ii)
0
(iii)
tan
52°
(iv)
-1
(v)
tan
36°
Question
17
17.
cosec
6°
sec
32°
sec
84°
cosec
58°
=
(i)
1
(ii)
tan
32°
(iii)
-1
(iv)
tan
6°
(v)
0
Question
18
18.
sin
49°
−
cos
41°
=
(i)
2
sin
41°
(ii)
-1
(iii)
2
sin
49°
(iv)
1
(v)
0
Question
19
19.
cos
35°
−
sin
55°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
2
sin
55°
(v)
2
sin
35°
Question
20
20.
tan
75°
−
cot
15°
=
(i)
1
(ii)
2
sin
75°
(iii)
0
(iv)
2
sin
15°
(v)
-1
Question
21
21.
cot
29°
−
tan
61°
=
(i)
2
sin
29°
(ii)
0
(iii)
2
sin
61°
(iv)
-1
(v)
1
Question
22
22.
sec
85°
−
cosec
5°
=
(i)
-1
(ii)
1
(iii)
2
sin
5°
(iv)
2
sin
85°
(v)
0
Question
23
23.
cosec
49°
−
sec
41°
=
(i)
2
sin
41°
(ii)
1
(iii)
0
(iv)
-1
(v)
2
sin
49°
Question
24
24.
sin
73°
cos
22°
−
cos
17°
sin
68°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
2
sin
73°
(v)
2
sin
22°
Question
25
25.
cos
85°
sin
51°
−
sin
5°
cos
39°
=
(i)
1
(ii)
2
sin
51°
(iii)
-1
(iv)
2
sin
85°
(v)
0
Question
26
26.
tan
40°
cot
47°
−
cot
50°
tan
43°
=
(i)
-1
(ii)
2
sin
47°
(iii)
2
sin
40°
(iv)
1
(v)
0
Question
27
27.
cot
50°
tan
15°
−
tan
40°
cot
75°
=
(i)
-1
(ii)
2
sin
50°
(iii)
0
(iv)
1
(v)
2
sin
15°
Question
28
28.
sec
5°
cosec
87°
−
cosec
85°
sec
3°
=
(i)
1
(ii)
0
(iii)
2
sin
5°
(iv)
-1
(v)
2
sin
87°
Question
29
29.
cosec
57°
sec
65°
−
sec
33°
cosec
25°
=
(i)
1
(ii)
2
sin
65°
(iii)
0
(iv)
2
sin
57°
(v)
-1
Question
30
30.
sin
90°
cos
0°
+
cos
90°
sin
0°
=
(i)
1
(ii)
(
−
2
)
(iii)
2
(iv)
3
(v)
0
Question
31
31.
In
△ABC
, right angled at
B
,
if
tan
A
=
1
4
,
find
sin
A
cos
C
+
cos
A
sin
C
(i)
1
17
√
17
(ii)
1
(iii)
1
4
√
17
(iv)
√
17
(v)
4
17
√
17
Question
32
32.
In
△ABC
, right angled at
B
,
if
tan
A
=
2
5
,
find
cos
A
cos
C
−
sin
A
sin
C
(i)
2
29
√
29
(ii)
0
(iii)
1
5
√
29
(iv)
5
29
√
29
(v)
1
2
√
29
Question
33
33.
Find the value of
tan
30°
tan
65°
tan
60°
tan
25°
(i)
undefined
(ii)
1
(iii)
2
(iv)
-1
(v)
0
Question
34
34.
Find the value of
cot
60°
cot
15°
cot
30°
cot
75°
(i)
undefined
(ii)
-1
(iii)
1
(iv)
0
(v)
2
Question
35
35.
sin
2
75°
+
sin
2
15°
cos
2
15°
+
cos
2
75°
=
(i)
-1
(ii)
0
(iii)
undefined
(iv)
1
(v)
2
Question
36
36.
sin
30°
cos
60°
+
cos
30°
sin
60°
sin
70°
cos
20°
+
cos
70°
sin
20°
=
(i)
0
(ii)
2
(iii)
-1
(iv)
undefined
(v)
1
Question
37
37.
sin
15°
+
cos
28°
=
(i)
cos
75°
+
cos
62°
(ii)
sin
15°
+
sin
28°
(iii)
cos
75°
+
sin
62°
(iv)
cos
15°
+
sin
28°
Question
38
38.
cos
59°
+
sin
33°
=
(i)
sin
59°
+
cos
33°
(ii)
cos
59°
+
cos
33°
(iii)
sin
31°
+
cos
57°
(iv)
sin
31°
+
sin
57°
Question
39
39.
tan
70°
+
cot
15°
=
(i)
cot
20°
+
cot
75°
(ii)
cot
70°
+
tan
15°
(iii)
cot
20°
+
tan
75°
(iv)
tan
70°
+
tan
15°
Question
40
40.
cot
75°
+
tan
30°
=
(i)
cot
75°
+
cot
30°
(ii)
tan
15°
+
tan
60°
(iii)
tan
15°
+
cot
60°
(iv)
tan
75°
+
cot
30°
Question
41
41.
sec
52°
+
cosec
54°
=
(i)
cosec
38°
+
sec
36°
(ii)
cosec
52°
+
sec
54°
(iii)
sec
52°
+
sec
54°
(iv)
cosec
38°
+
cosec
36°
Question
42
42.
cosec
78°
+
sec
34°
=
(i)
sec
12°
+
cosec
56°
(ii)
cosec
78°
+
cosec
34°
(iii)
sec
12°
+
sec
56°
(iv)
sec
78°
+
cosec
34°
Assignment Key
1) (v)
2) (i)
3) (v)
4) (i)
5) (i)
6) (ii)
7) (i)
8) (v)
9) (iv)
10) (iv)
11) (iv)
12) (ii)
13) (v)
14) (iii)
15) (iii)
16) (i)
17) (i)
18) (v)
19) (ii)
20) (iii)
21) (ii)
22) (v)
23) (iii)
24) (ii)
25) (v)
26) (v)
27) (iii)
28) (ii)
29) (iii)
30) (i)
31) (ii)
32) (ii)
33) (ii)
34) (iii)
35) (iv)
36) (v)
37) (iii)
38) (iii)
39) (iii)
40) (iii)
41) (i)
42) (i)
