EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
cos
45°
cot
30°
tan
0°
−
sec
0°
cosec
90°
sin
45°
=
(i)
(
−
1
2
√
-1
)
(ii)
(
−
1
2
√
2
)
(iii)
(
−
1
2
4
√
2
)
(iv)
(
−
1
)
(v)
(
−
1
2
√
5
)
Question
2
2.
tan
0°
sec
0°
−
tan
60°
cos
90°
cosec
90°
cosec
30°
tan
0°
−
tan
45°
cos
60°
cos
45°
=
(i)
(
−
2
)
(ii)
2
(iii)
(
−
1
)
(iv)
0
(v)
1
Question
3
3.
sin
30°
cos
60°
=
(i)
tan
60°
(ii)
-1
(iii)
tan
30°
(iv)
0
(v)
1
Question
4
4.
cos
74°
sin
16°
=
(i)
tan
16°
(ii)
0
(iii)
-1
(iv)
1
(v)
tan
74°
Question
5
5.
tan
82°
cot
8°
=
(i)
tan
82°
(ii)
0
(iii)
1
(iv)
-1
(v)
tan
8°
Question
6
6.
cot
4°
tan
86°
=
(i)
1
(ii)
tan
4°
(iii)
-1
(iv)
0
(v)
tan
86°
Question
7
7.
sec
86°
cosec
4°
=
(i)
1
(ii)
tan
4°
(iii)
-1
(iv)
0
(v)
tan
86°
Question
8
8.
cosec
39°
sec
51°
=
(i)
tan
51°
(ii)
0
(iii)
-1
(iv)
1
(v)
tan
39°
Question
9
9.
sin
37°
cos
47°
cos
53°
sin
43°
=
(i)
-1
(ii)
1
(iii)
0
(iv)
tan
47°
(v)
tan
37°
Question
10
10.
cos
51°
sin
2°
sin
39°
cos
88°
=
(i)
1
(ii)
0
(iii)
tan
51°
(iv)
tan
2°
(v)
-1
Question
11
11.
tan
28°
cot
16°
cot
62°
tan
74°
=
(i)
tan
28°
(ii)
-1
(iii)
0
(iv)
tan
16°
(v)
1
Question
12
12.
cot
18°
tan
52°
tan
72°
cot
38°
=
(i)
-1
(ii)
tan
52°
(iii)
tan
18°
(iv)
0
(v)
1
Question
13
13.
sec
23°
cosec
23°
cosec
67°
sec
67°
=
(i)
-1
(ii)
0
(iii)
tan
23°
(iv)
1
Question
14
14.
cosec
6°
sec
8°
sec
84°
cosec
82°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
tan
6°
(v)
tan
8°
Question
15
15.
sin
53°
−
cos
37°
=
(i)
1
(ii)
-1
(iii)
2
sin
53°
(iv)
0
(v)
2
sin
37°
Question
16
16.
cos
13°
−
sin
77°
=
(i)
1
(ii)
-1
(iii)
2
sin
13°
(iv)
0
(v)
2
sin
77°
Question
17
17.
tan
88°
−
cot
2°
=
(i)
2
sin
2°
(ii)
1
(iii)
2
sin
88°
(iv)
0
(v)
-1
Question
18
18.
cot
57°
−
tan
33°
=
(i)
2
sin
57°
(ii)
1
(iii)
2
sin
33°
(iv)
0
(v)
-1
Question
19
19.
sec
86°
−
cosec
4°
=
(i)
-1
(ii)
2
sin
4°
(iii)
2
sin
86°
(iv)
0
(v)
1
Question
20
20.
cosec
27°
−
sec
63°
=
(i)
-1
(ii)
2
sin
63°
(iii)
0
(iv)
1
(v)
2
sin
27°
Question
21
21.
sin
23°
cos
25°
−
cos
67°
sin
65°
=
(i)
1
(ii)
-1
(iii)
2
sin
23°
(iv)
2
sin
25°
(v)
0
Question
22
22.
cos
44°
sin
59°
−
sin
46°
cos
31°
=
(i)
1
(ii)
2
sin
59°
(iii)
-1
(iv)
2
sin
44°
(v)
0
Question
23
23.
tan
28°
cot
52°
−
cot
62°
tan
38°
=
(i)
1
(ii)
2
sin
28°
(iii)
-1
(iv)
0
(v)
2
sin
52°
Question
24
24.
cot
62°
tan
80°
−
tan
28°
cot
10°
=
(i)
2
sin
62°
(ii)
2
sin
80°
(iii)
0
(iv)
-1
(v)
1
Question
25
25.
sec
56°
cosec
23°
−
cosec
34°
sec
67°
=
(i)
2
sin
23°
(ii)
-1
(iii)
2
sin
56°
(iv)
0
(v)
1
Question
26
26.
cosec
71°
sec
81°
−
sec
19°
cosec
9°
=
(i)
-1
(ii)
2
sin
81°
(iii)
0
(iv)
2
sin
71°
(v)
1
Question
27
27.
sin
90°
cos
60°
+
cos
90°
sin
60°
=
(i)
3
2
(ii)
1
4
(iii)
1
(iv)
(
−
1
2
)
(v)
1
2
Question
28
28.
Find the value of
tan
5°
tan
35°
tan
85°
tan
55°
(i)
0
(ii)
undefined
(iii)
1
(iv)
-1
(v)
2
Question
29
29.
Find the value of
cot
70°
cot
15°
cot
20°
cot
75°
(i)
0
(ii)
1
(iii)
-1
(iv)
2
(v)
undefined
Question
30
30.
sin
2
80°
+
sin
2
10°
cos
2
10°
+
cos
2
80°
=
(i)
undefined
(ii)
-1
(iii)
2
(iv)
0
(v)
1
Question
31
31.
sin
10°
cos
80°
+
cos
10°
sin
80°
sin
5°
cos
85°
+
cos
5°
sin
85°
=
(i)
0
(ii)
2
(iii)
undefined
(iv)
1
(v)
-1
Question
32
32.
sin
62°
+
cos
61°
=
(i)
cos
28°
+
sin
29°
(ii)
cos
62°
+
sin
61°
(iii)
sin
62°
+
sin
61°
(iv)
cos
28°
+
cos
29°
Question
33
33.
cos
14°
+
sin
46°
=
(i)
sin
76°
+
cos
44°
(ii)
cos
14°
+
cos
46°
(iii)
sin
14°
+
cos
46°
(iv)
sin
76°
+
sin
44°
Question
34
34.
tan
35°
+
cot
64°
=
(i)
tan
35°
+
tan
64°
(ii)
cot
55°
+
cot
26°
(iii)
cot
55°
+
tan
26°
(iv)
cot
35°
+
tan
64°
Question
35
35.
cot
13°
+
tan
74°
=
(i)
tan
13°
+
cot
74°
(ii)
tan
77°
+
tan
16°
(iii)
tan
77°
+
cot
16°
(iv)
cot
13°
+
cot
74°
Question
36
36.
sec
60°
+
cosec
39°
=
(i)
cosec
30°
+
cosec
51°
(ii)
cosec
30°
+
sec
51°
(iii)
sec
60°
+
sec
39°
(iv)
cosec
60°
+
sec
39°
Question
37
37.
cosec
59°
+
sec
43°
=
(i)
cosec
59°
+
cosec
43°
(ii)
sec
31°
+
cosec
47°
(iii)
sec
59°
+
cosec
43°
(iv)
sec
31°
+
sec
47°
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (iv)
5) (iii)
6) (i)
7) (i)
8) (iv)
9) (ii)
10) (i)
11) (v)
12) (v)
13) (iv)
14) (iii)
15) (iv)
16) (iv)
17) (iv)
18) (iv)
19) (iv)
20) (iii)
21) (v)
22) (v)
23) (iv)
24) (iii)
25) (iv)
26) (iii)
27) (v)
28) (iii)
29) (ii)
30) (v)
31) (iv)
32) (i)
33) (i)
34) (iii)
35) (iii)
36) (ii)
37) (ii)
