EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
tan
0°
cot
30°
+
cot
90°
cos
60°
=
(i)
1
(ii)
0
(iii)
(
−
2
)
(iv)
3
(v)
(
−
1
)
Question
2
2.
cos
0°
sin
45°
cosec
45°
+
sec
60°
sin
60°
sec
45°
cot
30°
cos
45°
sec
60°
+
cosec
45°
sec
30°
sec
0°
=
(i)
(
1
10
√
6
+
1
)
(ii)
(
1
10
√
6
+
3
7
)
(iii)
(
1
10
√
6
+
3
5
)
(iv)
(
1
10
√
3
+
3
5
)
(v)
(
1
10
√
8
+
3
5
)
Question
3
3.
sin
2°
cos
88°
=
(i)
1
(ii)
-1
(iii)
tan
88°
(iv)
0
(v)
tan
2°
Question
4
4.
cos
77°
sin
13°
=
(i)
tan
13°
(ii)
-1
(iii)
0
(iv)
1
(v)
tan
77°
Question
5
5.
tan
60°
cot
30°
=
(i)
tan
30°
(ii)
tan
60°
(iii)
1
(iv)
-1
(v)
0
Question
6
6.
cot
63°
tan
27°
=
(i)
tan
63°
(ii)
1
(iii)
-1
(iv)
tan
27°
(v)
0
Question
7
7.
sec
49°
cosec
41°
=
(i)
0
(ii)
-1
(iii)
tan
41°
(iv)
1
(v)
tan
49°
Question
8
8.
cosec
47°
sec
43°
=
(i)
tan
43°
(ii)
-1
(iii)
tan
47°
(iv)
1
(v)
0
Question
9
9.
sin
6°
cos
42°
cos
84°
sin
48°
=
(i)
-1
(ii)
1
(iii)
tan
6°
(iv)
0
(v)
tan
42°
Question
10
10.
cos
3°
sin
75°
sin
87°
cos
15°
=
(i)
0
(ii)
tan
3°
(iii)
1
(iv)
-1
(v)
tan
75°
Question
11
11.
tan
8°
cot
72°
cot
82°
tan
18°
=
(i)
-1
(ii)
tan
72°
(iii)
tan
8°
(iv)
0
(v)
1
Question
12
12.
cot
46°
tan
81°
tan
44°
cot
9°
=
(i)
tan
46°
(ii)
-1
(iii)
0
(iv)
1
(v)
tan
81°
Question
13
13.
sec
76°
cosec
54°
cosec
14°
sec
36°
=
(i)
-1
(ii)
1
(iii)
0
(iv)
tan
76°
(v)
tan
54°
Question
14
14.
cosec
74°
sec
59°
sec
16°
cosec
31°
=
(i)
-1
(ii)
tan
74°
(iii)
0
(iv)
1
(v)
tan
59°
Question
15
15.
sin
86°
−
cos
4°
=
(i)
-1
(ii)
2
sin
4°
(iii)
0
(iv)
2
sin
86°
(v)
1
Question
16
16.
cos
35°
−
sin
55°
=
(i)
1
(ii)
2
sin
35°
(iii)
-1
(iv)
0
(v)
2
sin
55°
Question
17
17.
tan
75°
−
cot
15°
=
(i)
2
sin
75°
(ii)
0
(iii)
2
sin
15°
(iv)
1
(v)
-1
Question
18
18.
cot
71°
−
tan
19°
=
(i)
0
(ii)
2
sin
71°
(iii)
1
(iv)
-1
(v)
2
sin
19°
Question
19
19.
sec
44°
−
cosec
46°
=
(i)
0
(ii)
2
sin
44°
(iii)
-1
(iv)
2
sin
46°
(v)
1
Question
20
20.
cosec
71°
−
sec
19°
=
(i)
2
sin
19°
(ii)
-1
(iii)
2
sin
71°
(iv)
0
(v)
1
Question
21
21.
sin
16°
cos
88°
−
cos
74°
sin
2°
=
(i)
1
(ii)
2
sin
16°
(iii)
0
(iv)
2
sin
88°
(v)
-1
Question
22
22.
cos
79°
sin
36°
−
sin
11°
cos
54°
=
(i)
2
sin
79°
(ii)
-1
(iii)
0
(iv)
1
(v)
2
sin
36°
Question
23
23.
tan
53°
cot
13°
−
cot
37°
tan
77°
=
(i)
2
sin
13°
(ii)
0
(iii)
2
sin
53°
(iv)
1
(v)
-1
Question
24
24.
cot
73°
tan
58°
−
tan
17°
cot
32°
=
(i)
1
(ii)
0
(iii)
2
sin
58°
(iv)
-1
(v)
2
sin
73°
Question
25
25.
sec
29°
cosec
83°
−
cosec
61°
sec
7°
=
(i)
0
(ii)
2
sin
29°
(iii)
1
(iv)
-1
(v)
2
sin
83°
Question
26
26.
cosec
35°
sec
59°
−
sec
55°
cosec
31°
=
(i)
-1
(ii)
0
(iii)
2
sin
35°
(iv)
2
sin
59°
(v)
1
Question
27
27.
sin
30°
cos
45°
+
cos
30°
sin
45°
=
(i)
(
1
4
√
2
+
1
4
4
√
6
)
(ii)
(
1
4
√
2
+
3
2
)
(iii)
(
1
4
√
1
2
+
1
4
√
6
)
(iv)
(
1
4
√
2
+
1
4
√
6
)
(v)
(
1
4
√
4
+
1
4
√
6
)
Question
28
28.
Find the value of
tan
10°
tan
5°
tan
80°
tan
85°
(i)
1
(ii)
-1
(iii)
0
(iv)
undefined
(v)
2
Question
29
29.
Find the value of
cot
5°
cot
25°
cot
85°
cot
65°
(i)
1
(ii)
0
(iii)
2
(iv)
-1
(v)
undefined
Question
30
30.
sin
2
70°
+
sin
2
20°
cos
2
20°
+
cos
2
70°
=
(i)
undefined
(ii)
2
(iii)
-1
(iv)
0
(v)
1
Question
31
31.
sin
60°
cos
30°
+
cos
60°
sin
30°
sin
50°
cos
40°
+
cos
50°
sin
40°
=
(i)
2
(ii)
undefined
(iii)
1
(iv)
0
(v)
-1
Question
32
32.
sin
61°
+
cos
30°
=
(i)
cos
29°
+
cos
60°
(ii)
cos
29°
+
sin
60°
(iii)
sin
61°
+
sin
30°
(iv)
cos
61°
+
sin
30°
Question
33
33.
cos
17°
+
sin
67°
=
(i)
sin
73°
+
sin
23°
(ii)
sin
73°
+
cos
23°
(iii)
cos
17°
+
cos
67°
(iv)
sin
17°
+
cos
67°
Question
34
34.
tan
55°
+
cot
40°
=
(i)
cot
55°
+
tan
40°
(ii)
cot
35°
+
tan
50°
(iii)
cot
35°
+
cot
50°
(iv)
tan
55°
+
tan
40°
Question
35
35.
cot
47°
+
tan
13°
=
(i)
tan
43°
+
cot
77°
(ii)
tan
47°
+
cot
13°
(iii)
tan
43°
+
tan
77°
(iv)
cot
47°
+
cot
13°
Question
36
36.
sec
80°
+
cosec
16°
=
(i)
cosec
80°
+
sec
16°
(ii)
sec
80°
+
sec
16°
(iii)
cosec
10°
+
cosec
74°
(iv)
cosec
10°
+
sec
74°
Question
37
37.
cosec
37°
+
sec
57°
=
(i)
sec
53°
+
sec
33°
(ii)
cosec
37°
+
cosec
57°
(iii)
sec
53°
+
cosec
33°
(iv)
sec
37°
+
cosec
57°
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (iv)
5) (iii)
6) (ii)
7) (iv)
8) (iv)
9) (ii)
10) (iii)
11) (v)
12) (iv)
13) (ii)
14) (iv)
15) (iii)
16) (iv)
17) (ii)
18) (i)
19) (i)
20) (iv)
21) (iii)
22) (iii)
23) (ii)
24) (ii)
25) (i)
26) (ii)
27) (iv)
28) (i)
29) (i)
30) (v)
31) (iii)
32) (ii)
33) (ii)
34) (ii)
35) (i)
36) (iv)
37) (iii)
