EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
cos
45°
cosec
30°
+
cos
0°
cot
45°
=
(i)
(
√
-1
+
1
)
(ii)
(
√
2
+
2
)
(iii)
(
√
4
+
1
)
(iv)
(
√
2
+
0
)
(v)
(
√
2
+
1
)
Question
2
2.
cot
90°
cos
90°
sin
30°
−
cosec
90°
sin
90°
cosec
45°
cos
90°
cos
45°
+
tan
60°
sec
0°
=
(i)
(
−
1
3
√
9
)
(ii)
(
−
1
3
√
4
)
(iii)
(
−
2
)
(iv)
(
−
1
3
√
6
)
(v)
(
−
1
3
4
√
6
)
Question
3
3.
sin
83°
cos
7°
=
(i)
tan
83°
(ii)
1
(iii)
0
(iv)
tan
7°
(v)
-1
Question
4
4.
cos
18°
sin
72°
=
(i)
tan
72°
(ii)
0
(iii)
-1
(iv)
1
(v)
tan
18°
Question
5
5.
tan
6°
cot
84°
=
(i)
1
(ii)
tan
84°
(iii)
0
(iv)
-1
(v)
tan
6°
Question
6
6.
cot
15°
tan
75°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
tan
15°
(v)
tan
75°
Question
7
7.
sec
13°
cosec
77°
=
(i)
-1
(ii)
tan
77°
(iii)
0
(iv)
1
(v)
tan
13°
Question
8
8.
cosec
70°
sec
20°
=
(i)
tan
70°
(ii)
tan
20°
(iii)
0
(iv)
1
(v)
-1
Question
9
9.
sin
67°
cos
83°
cos
23°
sin
7°
=
(i)
0
(ii)
tan
83°
(iii)
-1
(iv)
tan
67°
(v)
1
Question
10
10.
cos
12°
sin
6°
sin
78°
cos
84°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
tan
6°
(v)
tan
12°
Question
11
11.
tan
44°
cot
45°
cot
46°
tan
45°
=
(i)
-1
(ii)
tan
44°
(iii)
1
(iv)
0
(v)
tan
45°
Question
12
12.
cot
74°
tan
48°
tan
16°
cot
42°
=
(i)
0
(ii)
tan
74°
(iii)
-1
(iv)
1
(v)
tan
48°
Question
13
13.
sec
28°
cosec
45°
cosec
62°
sec
45°
=
(i)
0
(ii)
tan
45°
(iii)
tan
28°
(iv)
-1
(v)
1
Question
14
14.
cosec
80°
sec
9°
sec
10°
cosec
81°
=
(i)
tan
9°
(ii)
0
(iii)
tan
80°
(iv)
1
(v)
-1
Question
15
15.
sin
66°
−
cos
24°
=
(i)
2
sin
24°
(ii)
0
(iii)
-1
(iv)
2
sin
66°
(v)
1
Question
16
16.
cos
42°
−
sin
48°
=
(i)
0
(ii)
-1
(iii)
2
sin
42°
(iv)
1
(v)
2
sin
48°
Question
17
17.
tan
79°
−
cot
11°
=
(i)
2
sin
11°
(ii)
1
(iii)
2
sin
79°
(iv)
0
(v)
-1
Question
18
18.
cot
5°
−
tan
85°
=
(i)
1
(ii)
0
(iii)
2
sin
85°
(iv)
2
sin
5°
(v)
-1
Question
19
19.
sec
78°
−
cosec
12°
=
(i)
-1
(ii)
2
sin
78°
(iii)
0
(iv)
2
sin
12°
(v)
1
Question
20
20.
cosec
81°
−
sec
9°
=
(i)
1
(ii)
2
sin
81°
(iii)
2
sin
9°
(iv)
-1
(v)
0
Question
21
21.
sin
17°
cos
71°
−
cos
73°
sin
19°
=
(i)
2
sin
17°
(ii)
2
sin
71°
(iii)
0
(iv)
1
(v)
-1
Question
22
22.
cos
51°
sin
54°
−
sin
39°
cos
36°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
2
sin
51°
(v)
2
sin
54°
Question
23
23.
tan
85°
cot
86°
−
cot
5°
tan
4°
=
(i)
0
(ii)
-1
(iii)
2
sin
86°
(iv)
2
sin
85°
(v)
1
Question
24
24.
cot
28°
tan
71°
−
tan
62°
cot
19°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
2
sin
28°
(v)
2
sin
71°
Question
25
25.
sec
35°
cosec
77°
−
cosec
55°
sec
13°
=
(i)
1
(ii)
2
sin
35°
(iii)
0
(iv)
2
sin
77°
(v)
-1
Question
26
26.
cosec
79°
sec
16°
−
sec
11°
cosec
74°
=
(i)
2
sin
16°
(ii)
2
sin
79°
(iii)
0
(iv)
-1
(v)
1
Question
27
27.
sin
30°
cos
60°
+
cos
30°
sin
60°
=
(i)
2
(ii)
0
(iii)
4
(iv)
(
−
2
)
(v)
1
1
Question
28
28.
Find the value of
tan
5°
tan
55°
tan
85°
tan
35°
(i)
-1
(ii)
0
(iii)
undefined
(iv)
1
(v)
2
Question
29
29.
Find the value of
cot
2
60°
cot
2
30°
(i)
undefined
(ii)
2
(iii)
1
(iv)
-1
(v)
0
Question
30
30.
sin
2
25°
+
sin
2
65°
cos
2
55°
+
cos
2
35°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
2
(v)
undefined
Question
31
31.
sin
25°
cos
65°
+
cos
25°
sin
65°
sin
80°
cos
10°
+
cos
80°
sin
10°
=
(i)
-1
(ii)
1
(iii)
2
(iv)
undefined
(v)
0
Question
32
32.
sin
36°
+
cos
22°
=
(i)
cos
36°
+
sin
22°
(ii)
sin
36°
+
sin
22°
(iii)
cos
54°
+
cos
68°
(iv)
cos
54°
+
sin
68°
Question
33
33.
cos
14°
+
sin
75°
=
(i)
sin
76°
+
sin
15°
(ii)
sin
14°
+
cos
75°
(iii)
cos
14°
+
cos
75°
(iv)
sin
76°
+
cos
15°
Question
34
34.
tan
35°
+
cot
47°
=
(i)
tan
35°
+
tan
47°
(ii)
cot
55°
+
cot
43°
(iii)
cot
35°
+
tan
47°
(iv)
cot
55°
+
tan
43°
Question
35
35.
cot
77°
+
tan
12°
=
(i)
tan
13°
+
tan
78°
(ii)
tan
13°
+
cot
78°
(iii)
cot
77°
+
cot
12°
(iv)
tan
77°
+
cot
12°
Question
36
36.
sec
69°
+
cosec
35°
=
(i)
cosec
21°
+
cosec
55°
(ii)
sec
69°
+
sec
35°
(iii)
cosec
69°
+
sec
35°
(iv)
cosec
21°
+
sec
55°
Question
37
37.
cosec
38°
+
sec
61°
=
(i)
sec
38°
+
cosec
61°
(ii)
cosec
38°
+
cosec
61°
(iii)
sec
52°
+
sec
29°
(iv)
sec
52°
+
cosec
29°
Assignment Key
1) (v)
2) (iv)
3) (ii)
4) (iv)
5) (i)
6) (i)
7) (iv)
8) (iv)
9) (v)
10) (ii)
11) (iii)
12) (iv)
13) (v)
14) (iv)
15) (ii)
16) (i)
17) (iv)
18) (ii)
19) (iii)
20) (v)
21) (iii)
22) (iii)
23) (i)
24) (ii)
25) (iii)
26) (iii)
27) (v)
28) (iv)
29) (iii)
30) (i)
31) (ii)
32) (iv)
33) (iv)
34) (iv)
35) (ii)
36) (iv)
37) (iv)
