EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
tan
60°
cosec
30°
sin
60°
−
cosec
60°
sec
0°
tan
45°
=
(i)
(
3
−
2
)
(ii)
(
3
−
2
3
4
√
3
)
(iii)
(
0
−
2
3
√
3
)
(iv)
(
6
−
2
3
√
3
)
(v)
(
3
−
2
3
√
3
)
Question
2
2.
cos
30°
sin
0°
sin
30°
−
cot
45°
sec
0°
tan
0°
sec
30°
cosec
90°
sec
60°
+
cot
60°
sin
0°
cot
45°
=
(i)
(
−
2
)
(ii)
(
−
1
)
(iii)
1
(iv)
0
(v)
2
Question
3
3.
sin
87°
cos
3°
=
(i)
tan
87°
(ii)
1
(iii)
tan
3°
(iv)
0
(v)
-1
Question
4
4.
cos
61°
sin
29°
=
(i)
tan
61°
(ii)
0
(iii)
tan
29°
(iv)
-1
(v)
1
Question
5
5.
tan
51°
cot
39°
=
(i)
tan
39°
(ii)
0
(iii)
1
(iv)
tan
51°
(v)
-1
Question
6
6.
cot
34°
tan
56°
=
(i)
tan
56°
(ii)
-1
(iii)
0
(iv)
tan
34°
(v)
1
Question
7
7.
sec
18°
cosec
72°
=
(i)
1
(ii)
0
(iii)
tan
72°
(iv)
-1
(v)
tan
18°
Question
8
8.
cosec
58°
sec
32°
=
(i)
tan
32°
(ii)
tan
58°
(iii)
0
(iv)
-1
(v)
1
Question
9
9.
sin
45°
cos
49°
cos
45°
sin
41°
=
(i)
-1
(ii)
tan
49°
(iii)
tan
45°
(iv)
0
(v)
1
Question
10
10.
cos
38°
sin
41°
sin
52°
cos
49°
=
(i)
tan
41°
(ii)
-1
(iii)
0
(iv)
tan
38°
(v)
1
Question
11
11.
tan
76°
cot
49°
cot
14°
tan
41°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
tan
76°
(v)
tan
49°
Question
12
12.
cot
57°
tan
63°
tan
33°
cot
27°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
tan
63°
(v)
tan
57°
Question
13
13.
sec
48°
cosec
16°
cosec
42°
sec
74°
=
(i)
tan
48°
(ii)
1
(iii)
0
(iv)
-1
(v)
tan
16°
Question
14
14.
cosec
67°
sec
57°
sec
23°
cosec
33°
=
(i)
1
(ii)
-1
(iii)
tan
67°
(iv)
tan
57°
(v)
0
Question
15
15.
sin
17°
−
cos
73°
=
(i)
-1
(ii)
2
sin
17°
(iii)
0
(iv)
1
(v)
2
sin
73°
Question
16
16.
cos
6°
−
sin
84°
=
(i)
2
sin
6°
(ii)
-1
(iii)
2
sin
84°
(iv)
0
(v)
1
Question
17
17.
tan
65°
−
cot
25°
=
(i)
2
sin
65°
(ii)
0
(iii)
2
sin
25°
(iv)
1
(v)
-1
Question
18
18.
cot
33°
−
tan
57°
=
(i)
1
(ii)
2
sin
57°
(iii)
2
sin
33°
(iv)
-1
(v)
0
Question
19
19.
sec
4°
−
cosec
86°
=
(i)
2
sin
4°
(ii)
0
(iii)
1
(iv)
2
sin
86°
(v)
-1
Question
20
20.
cosec
13°
−
sec
77°
=
(i)
2
sin
77°
(ii)
2
sin
13°
(iii)
0
(iv)
-1
(v)
1
Question
21
21.
sin
39°
cos
44°
−
cos
51°
sin
46°
=
(i)
2
sin
39°
(ii)
0
(iii)
2
sin
44°
(iv)
-1
(v)
1
Question
22
22.
cos
72°
sin
49°
−
sin
18°
cos
41°
=
(i)
-1
(ii)
0
(iii)
2
sin
49°
(iv)
1
(v)
2
sin
72°
Question
23
23.
tan
47°
cot
83°
−
cot
43°
tan
7°
=
(i)
-1
(ii)
1
(iii)
0
(iv)
2
sin
47°
(v)
2
sin
83°
Question
24
24.
cot
36°
tan
48°
−
tan
54°
cot
42°
=
(i)
2
sin
36°
(ii)
1
(iii)
-1
(iv)
2
sin
48°
(v)
0
Question
25
25.
sec
53°
cosec
5°
−
cosec
37°
sec
85°
=
(i)
-1
(ii)
2
sin
53°
(iii)
2
sin
5°
(iv)
1
(v)
0
Question
26
26.
cosec
50°
sec
74°
−
sec
40°
cosec
16°
=
(i)
2
sin
74°
(ii)
0
(iii)
1
(iv)
2
sin
50°
(v)
-1
Question
27
27.
sin
90°
cos
30°
+
cos
90°
sin
30°
=
(i)
1
2
√
6
(ii)
3
2
(iii)
1
2
√
3
(iv)
1
2
4
√
3
(v)
1
2
√
1
3
Question
28
28.
Find the value of
tan
75°
tan
40°
tan
15°
tan
50°
(i)
undefined
(ii)
0
(iii)
1
(iv)
-1
(v)
2
Question
29
29.
Find the value of
cot
70°
cot
35°
cot
20°
cot
55°
(i)
undefined
(ii)
-1
(iii)
2
(iv)
0
(v)
1
Question
30
30.
sin
2
25°
+
sin
2
65°
cos
2
15°
+
cos
2
75°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
undefined
(v)
2
Question
31
31.
sin
65°
cos
25°
+
cos
65°
sin
25°
sin
55°
cos
35°
+
cos
55°
sin
35°
=
(i)
1
(ii)
undefined
(iii)
-1
(iv)
2
(v)
0
Question
32
32.
sin
78°
+
cos
20°
=
(i)
cos
12°
+
sin
70°
(ii)
cos
78°
+
sin
20°
(iii)
sin
78°
+
sin
20°
(iv)
cos
12°
+
cos
70°
Question
33
33.
cos
59°
+
sin
18°
=
(i)
sin
59°
+
cos
18°
(ii)
cos
59°
+
cos
18°
(iii)
sin
31°
+
cos
72°
(iv)
sin
31°
+
sin
72°
Question
34
34.
tan
46°
+
cot
24°
=
(i)
cot
44°
+
tan
66°
(ii)
cot
44°
+
cot
66°
(iii)
cot
46°
+
tan
24°
(iv)
tan
46°
+
tan
24°
Question
35
35.
cot
12°
+
tan
63°
=
(i)
tan
78°
+
cot
27°
(ii)
tan
12°
+
cot
63°
(iii)
cot
12°
+
cot
63°
(iv)
tan
78°
+
tan
27°
Question
36
36.
sec
57°
+
cosec
60°
=
(i)
cosec
33°
+
sec
30°
(ii)
sec
57°
+
sec
60°
(iii)
cosec
57°
+
sec
60°
(iv)
cosec
33°
+
cosec
30°
Question
37
37.
cosec
16°
+
sec
56°
=
(i)
sec
74°
+
sec
34°
(ii)
sec
74°
+
cosec
34°
(iii)
cosec
16°
+
cosec
56°
(iv)
sec
16°
+
cosec
56°
Assignment Key
1) (v)
2) (iv)
3) (ii)
4) (v)
5) (iii)
6) (v)
7) (i)
8) (v)
9) (v)
10) (v)
11) (iii)
12) (i)
13) (ii)
14) (i)
15) (iii)
16) (iv)
17) (ii)
18) (v)
19) (ii)
20) (iii)
21) (ii)
22) (ii)
23) (iii)
24) (v)
25) (v)
26) (ii)
27) (iii)
28) (iii)
29) (v)
30) (ii)
31) (i)
32) (i)
33) (iii)
34) (i)
35) (i)
36) (i)
37) (ii)
