EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
sec
0°
sec
30°
+
cos
60°
tan
30°
=
(i)
5
6
√
5
(ii)
5
6
√
3
(iii)
5
6
√
1
3
(iv)
5
6
4
√
3
(v)
5
2
Question
2
2.
tan
45°
tan
60°
tan
0°
−
sec
60°
tan
30°
cos
45°
cos
30°
cot
60°
+
sec
60°
sin
60°
=
(i)
(
2
33
√
3
−
4
33
√
18
)
(ii)
(
2
33
√
6
−
24
11
)
(iii)
(
2
33
√
8
−
4
33
√
18
)
(iv)
(
2
33
√
6
−
4
33
4
√
18
)
(v)
(
2
33
√
6
−
4
33
√
18
)
Question
3
3.
sin
10°
cos
80°
=
(i)
1
(ii)
0
(iii)
tan
80°
(iv)
tan
10°
(v)
-1
Question
4
4.
cos
38°
sin
52°
=
(i)
tan
38°
(ii)
1
(iii)
0
(iv)
-1
(v)
tan
52°
Question
5
5.
tan
46°
cot
44°
=
(i)
1
(ii)
tan
46°
(iii)
0
(iv)
-1
(v)
tan
44°
Question
6
6.
cot
21°
tan
69°
=
(i)
1
(ii)
tan
21°
(iii)
-1
(iv)
tan
69°
(v)
0
Question
7
7.
sec
37°
cosec
53°
=
(i)
tan
53°
(ii)
tan
37°
(iii)
0
(iv)
1
(v)
-1
Question
8
8.
cosec
83°
sec
7°
=
(i)
1
(ii)
tan
83°
(iii)
-1
(iv)
0
(v)
tan
7°
Question
9
9.
sin
65°
cos
17°
cos
25°
sin
73°
=
(i)
tan
17°
(ii)
-1
(iii)
1
(iv)
tan
65°
(v)
0
Question
10
10.
cos
54°
sin
77°
sin
36°
cos
13°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
tan
54°
(v)
tan
77°
Question
11
11.
tan
52°
cot
40°
cot
38°
tan
50°
=
(i)
-1
(ii)
tan
52°
(iii)
tan
40°
(iv)
0
(v)
1
Question
12
12.
cot
52°
tan
80°
tan
38°
cot
10°
=
(i)
-1
(ii)
tan
52°
(iii)
0
(iv)
tan
80°
(v)
1
Question
13
13.
sec
5°
cosec
28°
cosec
85°
sec
62°
=
(i)
tan
28°
(ii)
tan
5°
(iii)
0
(iv)
-1
(v)
1
Question
14
14.
cosec
51°
sec
61°
sec
39°
cosec
29°
=
(i)
-1
(ii)
0
(iii)
tan
61°
(iv)
1
(v)
tan
51°
Question
15
15.
sin
36°
−
cos
54°
=
(i)
2
sin
54°
(ii)
-1
(iii)
0
(iv)
2
sin
36°
(v)
1
Question
16
16.
cos
76°
−
sin
14°
=
(i)
2
sin
14°
(ii)
-1
(iii)
1
(iv)
2
sin
76°
(v)
0
Question
17
17.
tan
18°
−
cot
72°
=
(i)
-1
(ii)
2
sin
18°
(iii)
2
sin
72°
(iv)
1
(v)
0
Question
18
18.
cot
32°
−
tan
58°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
2
sin
32°
(v)
2
sin
58°
Question
19
19.
sec
25°
−
cosec
65°
=
(i)
2
sin
65°
(ii)
1
(iii)
2
sin
25°
(iv)
-1
(v)
0
Question
20
20.
cosec
50°
−
sec
40°
=
(i)
2
sin
50°
(ii)
0
(iii)
1
(iv)
-1
(v)
2
sin
40°
Question
21
21.
sin
87°
cos
13°
−
cos
3°
sin
77°
=
(i)
2
sin
13°
(ii)
0
(iii)
2
sin
87°
(iv)
-1
(v)
1
Question
22
22.
cos
58°
sin
44°
−
sin
32°
cos
46°
=
(i)
0
(ii)
1
(iii)
2
sin
44°
(iv)
-1
(v)
2
sin
58°
Question
23
23.
tan
71°
cot
5°
−
cot
19°
tan
85°
=
(i)
-1
(ii)
2
sin
71°
(iii)
2
sin
5°
(iv)
1
(v)
0
Question
24
24.
cot
39°
tan
10°
−
tan
51°
cot
80°
=
(i)
2
sin
39°
(ii)
2
sin
10°
(iii)
0
(iv)
1
(v)
-1
Question
25
25.
sec
73°
cosec
43°
−
cosec
17°
sec
47°
=
(i)
2
sin
43°
(ii)
1
(iii)
-1
(iv)
0
(v)
2
sin
73°
Question
26
26.
cosec
22°
sec
27°
−
sec
68°
cosec
63°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
2
sin
22°
(v)
2
sin
27°
Question
27
27.
sin
45°
cos
90°
+
cos
45°
sin
90°
=
(i)
1
2
√
5
(ii)
1
2
4
√
2
(iii)
1
2
√
1
2
(iv)
1
2
√
2
(v)
1
Question
28
28.
Find the value of
tan
5°
tan
50°
tan
85°
tan
40°
(i)
0
(ii)
-1
(iii)
2
(iv)
undefined
(v)
1
Question
29
29.
Find the value of
cot
60°
cot
20°
cot
30°
cot
70°
(i)
2
(ii)
-1
(iii)
1
(iv)
undefined
(v)
0
Question
30
30.
sin
2
5°
+
sin
2
85°
cos
2
40°
+
cos
2
50°
=
(i)
0
(ii)
-1
(iii)
undefined
(iv)
2
(v)
1
Question
31
31.
sin
55°
cos
35°
+
cos
55°
sin
35°
sin
15°
cos
75°
+
cos
15°
sin
75°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
undefined
(v)
2
Question
32
32.
sin
56°
+
cos
35°
=
(i)
sin
56°
+
sin
35°
(ii)
cos
34°
+
sin
55°
(iii)
cos
34°
+
cos
55°
(iv)
cos
56°
+
sin
35°
Question
33
33.
cos
39°
+
sin
63°
=
(i)
sin
39°
+
cos
63°
(ii)
sin
51°
+
cos
27°
(iii)
cos
39°
+
cos
63°
(iv)
sin
51°
+
sin
27°
Question
34
34.
tan
28°
+
cot
29°
=
(i)
cot
62°
+
cot
61°
(ii)
cot
28°
+
tan
29°
(iii)
tan
28°
+
tan
29°
(iv)
cot
62°
+
tan
61°
Question
35
35.
cot
33°
+
tan
33°
=
(i)
2
cot
33°
(ii)
tan
57°
+
cot
57°
(iii)
2
tan
57°
(iv)
tan
33°
+
cot
33°
Question
36
36.
sec
34°
+
cosec
38°
=
(i)
sec
34°
+
sec
38°
(ii)
cosec
34°
+
sec
38°
(iii)
cosec
56°
+
sec
52°
(iv)
cosec
56°
+
cosec
52°
Question
37
37.
cosec
31°
+
sec
61°
=
(i)
sec
59°
+
cosec
29°
(ii)
sec
31°
+
cosec
61°
(iii)
cosec
31°
+
cosec
61°
(iv)
sec
59°
+
sec
29°
Assignment Key
1) (ii)
2) (v)
3) (i)
4) (ii)
5) (i)
6) (i)
7) (iv)
8) (i)
9) (iii)
10) (ii)
11) (v)
12) (v)
13) (v)
14) (iv)
15) (iii)
16) (v)
17) (v)
18) (iii)
19) (v)
20) (ii)
21) (ii)
22) (i)
23) (v)
24) (iii)
25) (iv)
26) (i)
27) (iv)
28) (v)
29) (iii)
30) (v)
31) (i)
32) (ii)
33) (ii)
34) (iv)
35) (ii)
36) (iii)
37) (i)
