EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
cot
60°
sec
45°
cos
90°
−
cosec
45°
tan
0°
sin
90°
=
(i)
(
−
2
)
(ii)
1
(iii)
2
(iv)
0
(v)
(
−
1
)
Question
2
2.
sec
60°
cot
90°
−
sec
45°
cosec
90°
sin
60°
sec
45°
−
sec
30°
sec
60°
=
(i)
(
3
23
√
10
+
8
23
√
6
)
(ii)
(
3
23
√
12
+
8
23
√
6
)
(iii)
(
3
23
√
12
+
8
23
4
√
6
)
(iv)
(
3
23
√
14
+
8
23
√
6
)
(v)
(
3
23
√
12
+
48
23
)
Question
3
3.
sin
35°
cos
55°
=
(i)
-1
(ii)
1
(iii)
tan
55°
(iv)
0
(v)
tan
35°
Question
4
4.
cos
55°
sin
35°
=
(i)
1
(ii)
tan
55°
(iii)
0
(iv)
-1
(v)
tan
35°
Question
5
5.
tan
4°
cot
86°
=
(i)
-1
(ii)
tan
86°
(iii)
0
(iv)
1
(v)
tan
4°
Question
6
6.
cot
23°
tan
67°
=
(i)
tan
67°
(ii)
-1
(iii)
tan
23°
(iv)
1
(v)
0
Question
7
7.
sec
86°
cosec
4°
=
(i)
tan
86°
(ii)
tan
4°
(iii)
0
(iv)
1
(v)
-1
Question
8
8.
cosec
55°
sec
35°
=
(i)
tan
55°
(ii)
1
(iii)
0
(iv)
tan
35°
(v)
-1
Question
9
9.
sin
32°
cos
52°
cos
58°
sin
38°
=
(i)
0
(ii)
-1
(iii)
tan
52°
(iv)
tan
32°
(v)
1
Question
10
10.
cos
74°
sin
51°
sin
16°
cos
39°
=
(i)
1
(ii)
tan
74°
(iii)
0
(iv)
tan
51°
(v)
-1
Question
11
11.
tan
44°
cot
14°
cot
46°
tan
76°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
tan
44°
(v)
tan
14°
Question
12
12.
cot
46°
tan
53°
tan
44°
cot
37°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
tan
53°
(v)
tan
46°
Question
13
13.
sec
20°
cosec
53°
cosec
70°
sec
37°
=
(i)
0
(ii)
-1
(iii)
tan
20°
(iv)
tan
53°
(v)
1
Question
14
14.
cosec
47°
sec
34°
sec
43°
cosec
56°
=
(i)
tan
47°
(ii)
1
(iii)
-1
(iv)
tan
34°
(v)
0
Question
15
15.
sin
58°
−
cos
32°
=
(i)
2
sin
32°
(ii)
0
(iii)
1
(iv)
-1
(v)
2
sin
58°
Question
16
16.
cos
33°
−
sin
57°
=
(i)
2
sin
57°
(ii)
-1
(iii)
2
sin
33°
(iv)
1
(v)
0
Question
17
17.
tan
88°
−
cot
2°
=
(i)
-1
(ii)
2
sin
88°
(iii)
1
(iv)
2
sin
2°
(v)
0
Question
18
18.
cot
75°
−
tan
15°
=
(i)
2
sin
75°
(ii)
0
(iii)
-1
(iv)
2
sin
15°
(v)
1
Question
19
19.
sec
10°
−
cosec
80°
=
(i)
2
sin
80°
(ii)
0
(iii)
1
(iv)
-1
(v)
2
sin
10°
Question
20
20.
cosec
80°
−
sec
10°
=
(i)
1
(ii)
0
(iii)
2
sin
80°
(iv)
2
sin
10°
(v)
-1
Question
21
21.
sin
16°
cos
14°
−
cos
74°
sin
76°
=
(i)
2
sin
16°
(ii)
-1
(iii)
0
(iv)
1
(v)
2
sin
14°
Question
22
22.
cos
9°
sin
19°
−
sin
81°
cos
71°
=
(i)
2
sin
19°
(ii)
1
(iii)
-1
(iv)
0
(v)
2
sin
9°
Question
23
23.
tan
3°
cot
41°
−
cot
87°
tan
49°
=
(i)
0
(ii)
1
(iii)
2
sin
41°
(iv)
2
sin
3°
(v)
-1
Question
24
24.
cot
65°
tan
49°
−
tan
25°
cot
41°
=
(i)
2
sin
49°
(ii)
0
(iii)
2
sin
65°
(iv)
1
(v)
-1
Question
25
25.
sec
76°
cosec
81°
−
cosec
14°
sec
9°
=
(i)
1
(ii)
2
sin
81°
(iii)
0
(iv)
-1
(v)
2
sin
76°
Question
26
26.
cosec
17°
sec
78°
−
sec
73°
cosec
12°
=
(i)
1
(ii)
2
sin
78°
(iii)
-1
(iv)
0
(v)
2
sin
17°
Question
27
27.
sin
30°
cos
60°
+
cos
30°
sin
60°
=
(i)
1
1
(ii)
2
(iii)
4
(iv)
0
(v)
(
−
2
)
Question
28
28.
Find the value of
tan
25°
tan
35°
tan
65°
tan
55°
(i)
-1
(ii)
0
(iii)
2
(iv)
undefined
(v)
1
Question
29
29.
Find the value of
cot
5°
cot
70°
cot
85°
cot
20°
(i)
-1
(ii)
undefined
(iii)
2
(iv)
0
(v)
1
Question
30
30.
sin
2
40°
+
sin
2
50°
cos
2
35°
+
cos
2
55°
=
(i)
2
(ii)
-1
(iii)
undefined
(iv)
1
(v)
0
Question
31
31.
sin
80°
cos
10°
+
cos
80°
sin
10°
sin
65°
cos
25°
+
cos
65°
sin
25°
=
(i)
2
(ii)
1
(iii)
0
(iv)
undefined
(v)
-1
Question
32
32.
sin
14°
+
cos
19°
=
(i)
cos
14°
+
sin
19°
(ii)
cos
76°
+
cos
71°
(iii)
cos
76°
+
sin
71°
(iv)
sin
14°
+
sin
19°
Question
33
33.
cos
38°
+
sin
38°
=
(i)
sin
38°
+
cos
38°
(ii)
sin
52°
+
cos
52°
(iii)
2
cos
38°
(iv)
2
sin
52°
Question
34
34.
tan
69°
+
cot
28°
=
(i)
cot
21°
+
tan
62°
(ii)
cot
69°
+
tan
28°
(iii)
tan
69°
+
tan
28°
(iv)
cot
21°
+
cot
62°
Question
35
35.
cot
20°
+
tan
59°
=
(i)
cot
20°
+
cot
59°
(ii)
tan
20°
+
cot
59°
(iii)
tan
70°
+
cot
31°
(iv)
tan
70°
+
tan
31°
Question
36
36.
sec
32°
+
cosec
72°
=
(i)
cosec
58°
+
sec
18°
(ii)
cosec
58°
+
cosec
18°
(iii)
cosec
32°
+
sec
72°
(iv)
sec
32°
+
sec
72°
Question
37
37.
cosec
13°
+
sec
41°
=
(i)
sec
77°
+
cosec
49°
(ii)
sec
13°
+
cosec
41°
(iii)
sec
77°
+
sec
49°
(iv)
cosec
13°
+
cosec
41°
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (i)
5) (iv)
6) (iv)
7) (iv)
8) (ii)
9) (v)
10) (i)
11) (i)
12) (ii)
13) (v)
14) (ii)
15) (ii)
16) (v)
17) (v)
18) (ii)
19) (ii)
20) (ii)
21) (iii)
22) (iv)
23) (i)
24) (ii)
25) (iii)
26) (iv)
27) (i)
28) (v)
29) (v)
30) (iv)
31) (ii)
32) (iii)
33) (ii)
34) (i)
35) (iii)
36) (i)
37) (i)
