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)
90°
(ii)
60°
(iii)
45°
(iv)
0°
(v)
30°
Question
2
2.
If
sin
(
B
+
C
)
=
1
2
√
3
and
sin
(
B
−
C
)
=
1
2
,
find
B
&
C
(i)
B
=
43°
,
C
=
13°
(ii)
B
=
45°
,
C
=
15°
(iii)
B
=
44°
,
C
=
14°
(iv)
B
=
46°
,
C
=
16°
(v)
B
=
47°
,
C
=
17°
Question
3
3.
If
tan
(
C
+
D
)
=
√
3
and
tan
(
C
−
D
)
=
√
1
3
,
find
C
&
D
(i)
C
=
47°
,
D
=
17°
(ii)
C
=
45°
,
D
=
15°
(iii)
C
=
43°
,
D
=
13°
(iv)
C
=
44°
,
D
=
14°
(v)
C
=
46°
,
D
=
16°
Question
4
4.
cos
90°
sec
0°
−
sin
90°
sin
0°
=
(i)
(
−
1
)
(ii)
0
(iii)
(
−
3
)
(iv)
3
(v)
1
Question
5
5.
cot
90°
tan
60°
+
sec
60°
cos
90°
sec
45°
cot
45°
sec
0°
+
tan
45°
cot
90°
sin
90°
=
(i)
0
(ii)
2
(iii)
1
(iv)
(
−
1
)
(v)
(
−
2
)
Question
6
6.
sin
86°
cos
4°
=
(i)
0
(ii)
1
(iii)
tan
86°
(iv)
-1
(v)
tan
4°
Question
7
7.
cos
31°
sin
59°
=
(i)
tan
59°
(ii)
0
(iii)
-1
(iv)
1
(v)
tan
31°
Question
8
8.
tan
17°
cot
73°
=
(i)
tan
73°
(ii)
0
(iii)
-1
(iv)
tan
17°
(v)
1
Question
9
9.
cot
42°
tan
48°
=
(i)
-1
(ii)
0
(iii)
tan
48°
(iv)
1
(v)
tan
42°
Question
10
10.
sec
60°
cosec
30°
=
(i)
tan
30°
(ii)
1
(iii)
0
(iv)
tan
60°
(v)
-1
Question
11
11.
cosec
4°
sec
86°
=
(i)
-1
(ii)
1
(iii)
0
(iv)
tan
86°
(v)
tan
4°
Question
12
12.
sin
76°
cos
84°
cos
14°
sin
6°
=
(i)
tan
76°
(ii)
1
(iii)
tan
84°
(iv)
0
(v)
-1
Question
13
13.
cos
11°
sin
10°
sin
79°
cos
80°
=
(i)
tan
10°
(ii)
1
(iii)
tan
11°
(iv)
-1
(v)
0
Question
14
14.
tan
65°
cot
82°
cot
25°
tan
8°
=
(i)
tan
82°
(ii)
-1
(iii)
1
(iv)
0
(v)
tan
65°
Question
15
15.
cot
86°
tan
67°
tan
4°
cot
23°
=
(i)
0
(ii)
tan
67°
(iii)
1
(iv)
tan
86°
(v)
-1
Question
16
16.
sec
11°
cosec
84°
cosec
79°
sec
6°
=
(i)
0
(ii)
1
(iii)
tan
84°
(iv)
-1
(v)
tan
11°
Question
17
17.
cosec
8°
sec
44°
sec
82°
cosec
46°
=
(i)
-1
(ii)
0
(iii)
tan
8°
(iv)
1
(v)
tan
44°
Question
18
18.
sin
65°
−
cos
25°
=
(i)
2
sin
25°
(ii)
-1
(iii)
1
(iv)
0
(v)
2
sin
65°
Question
19
19.
cos
30°
−
sin
60°
=
(i)
2
sin
60°
(ii)
2
sin
30°
(iii)
0
(iv)
-1
(v)
1
Question
20
20.
tan
17°
−
cot
73°
=
(i)
2
sin
17°
(ii)
-1
(iii)
1
(iv)
2
sin
73°
(v)
0
Question
21
21.
cot
64°
−
tan
26°
=
(i)
-1
(ii)
1
(iii)
0
(iv)
2
sin
26°
(v)
2
sin
64°
Question
22
22.
sec
41°
−
cosec
49°
=
(i)
1
(ii)
-1
(iii)
2
sin
49°
(iv)
0
(v)
2
sin
41°
Question
23
23.
cosec
53°
−
sec
37°
=
(i)
1
(ii)
2
sin
37°
(iii)
-1
(iv)
0
(v)
2
sin
53°
Question
24
24.
sin
30°
cos
16°
−
cos
60°
sin
74°
=
(i)
1
(ii)
0
(iii)
2
sin
16°
(iv)
-1
(v)
2
sin
30°
Question
25
25.
cos
44°
sin
29°
−
sin
46°
cos
61°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
2
sin
29°
(v)
2
sin
44°
Question
26
26.
tan
18°
cot
50°
−
cot
72°
tan
40°
=
(i)
2
sin
18°
(ii)
-1
(iii)
0
(iv)
1
(v)
2
sin
50°
Question
27
27.
cot
72°
tan
60°
−
tan
18°
cot
30°
=
(i)
2
sin
72°
(ii)
0
(iii)
-1
(iv)
1
(v)
2
sin
60°
Question
28
28.
sec
23°
cosec
42°
−
cosec
67°
sec
48°
=
(i)
2
sin
23°
(ii)
-1
(iii)
1
(iv)
0
(v)
2
sin
42°
Question
29
29.
cosec
18°
sec
10°
−
sec
72°
cosec
80°
=
(i)
2
sin
18°
(ii)
-1
(iii)
2
sin
10°
(iv)
1
(v)
0
Question
30
30.
sin
90°
cos
60°
+
cos
90°
sin
60°
=
(i)
(
−
1
2
)
(ii)
1
4
(iii)
1
(iv)
1
2
(v)
3
2
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
7
√
74
(ii)
1
5
√
74
(iii)
1
(iv)
7
74
√
74
(v)
5
74
√
74
Question
32
32.
In
△CDE
, right angled at
D
,
if
tan
C
=
1
3
,
find
cos
C
cos
E
−
sin
C
sin
E
(i)
1
10
√
10
(ii)
0
(iii)
3
10
√
10
(iv)
√
10
(v)
1
3
√
10
Question
33
33.
Find the value of
tan
70°
tan
80°
tan
20°
tan
10°
(i)
1
(ii)
0
(iii)
2
(iv)
undefined
(v)
-1
Question
34
34.
Find the value of
cot
40°
cot
30°
cot
50°
cot
60°
(i)
-1
(ii)
2
(iii)
1
(iv)
0
(v)
undefined
Question
35
35.
sin
2
30°
+
sin
2
60°
cos
2
50°
+
cos
2
40°
=
(i)
1
(ii)
0
(iii)
undefined
(iv)
-1
(v)
2
Question
36
36.
sin
5°
cos
85°
+
cos
5°
sin
85°
sin
40°
cos
50°
+
cos
40°
sin
50°
=
(i)
2
(ii)
0
(iii)
-1
(iv)
1
(v)
undefined
Question
37
37.
sin
60°
+
cos
61°
=
(i)
sin
60°
+
sin
61°
(ii)
cos
60°
+
sin
61°
(iii)
cos
30°
+
sin
29°
(iv)
cos
30°
+
cos
29°
Question
38
38.
cos
16°
+
sin
11°
=
(i)
sin
74°
+
sin
79°
(ii)
sin
74°
+
cos
79°
(iii)
sin
16°
+
cos
11°
(iv)
cos
16°
+
cos
11°
Question
39
39.
tan
25°
+
cot
15°
=
(i)
cot
65°
+
tan
75°
(ii)
tan
25°
+
tan
15°
(iii)
cot
65°
+
cot
75°
(iv)
cot
25°
+
tan
15°
Question
40
40.
cot
76°
+
tan
39°
=
(i)
tan
14°
+
tan
51°
(ii)
cot
76°
+
cot
39°
(iii)
tan
76°
+
cot
39°
(iv)
tan
14°
+
cot
51°
Question
41
41.
sec
52°
+
cosec
76°
=
(i)
cosec
52°
+
sec
76°
(ii)
sec
52°
+
sec
76°
(iii)
cosec
38°
+
cosec
14°
(iv)
cosec
38°
+
sec
14°
Question
42
42.
cosec
59°
+
sec
33°
=
(i)
sec
31°
+
sec
57°
(ii)
cosec
59°
+
cosec
33°
(iii)
sec
59°
+
cosec
33°
(iv)
sec
31°
+
cosec
57°
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (ii)
5) (i)
6) (ii)
7) (iv)
8) (v)
9) (iv)
10) (ii)
11) (ii)
12) (ii)
13) (ii)
14) (iii)
15) (iii)
16) (ii)
17) (iv)
18) (iv)
19) (iii)
20) (v)
21) (iii)
22) (iv)
23) (iv)
24) (ii)
25) (i)
26) (iii)
27) (ii)
28) (iv)
29) (v)
30) (iv)
31) (iii)
32) (ii)
33) (i)
34) (iii)
35) (i)
36) (iv)
37) (iii)
38) (ii)
39) (i)
40) (iv)
41) (iv)
42) (iv)
