EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
sec
45°
cot
45°
+
cosec
60°
tan
60°
=
(i)
(
√
1
2
+
2
)
(ii)
(
√
2
+
2
)
(iii)
(
√
2
+
1
)
(iv)
(
√
2
+
3
)
(v)
(
√
5
+
2
)
Question
2
2.
cos
30°
cosec
30°
tan
0°
−
sec
0°
sin
90°
sec
45°
cosec
30°
cot
60°
sin
30°
−
sin
45°
tan
45°
sec
45°
=
(i)
(
1
2
√
6
+
3
)
(ii)
(
1
2
√
6
+
3
2
4
√
2
)
(iii)
(
1
2
√
6
+
3
2
√
2
)
(iv)
(
1
2
√
9
+
3
2
√
2
)
(v)
(
1
2
√
4
+
3
2
√
2
)
Question
3
3.
sin
66°
cos
24°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
tan
24°
(v)
tan
66°
Question
4
4.
cos
7°
sin
83°
=
(i)
tan
83°
(ii)
1
(iii)
-1
(iv)
0
(v)
tan
7°
Question
5
5.
tan
84°
cot
6°
=
(i)
tan
6°
(ii)
tan
84°
(iii)
-1
(iv)
0
(v)
1
Question
6
6.
cot
20°
tan
70°
=
(i)
-1
(ii)
tan
70°
(iii)
0
(iv)
1
(v)
tan
20°
Question
7
7.
sec
64°
cosec
26°
=
(i)
0
(ii)
tan
26°
(iii)
1
(iv)
-1
(v)
tan
64°
Question
8
8.
cosec
8°
sec
82°
=
(i)
1
(ii)
tan
82°
(iii)
0
(iv)
tan
8°
(v)
-1
Question
9
9.
sin
84°
cos
69°
cos
6°
sin
21°
=
(i)
0
(ii)
tan
69°
(iii)
tan
84°
(iv)
-1
(v)
1
Question
10
10.
cos
61°
sin
82°
sin
29°
cos
8°
=
(i)
tan
82°
(ii)
0
(iii)
-1
(iv)
tan
61°
(v)
1
Question
11
11.
tan
16°
cot
3°
cot
74°
tan
87°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
tan
3°
(v)
tan
16°
Question
12
12.
cot
84°
tan
53°
tan
6°
cot
37°
=
(i)
tan
84°
(ii)
0
(iii)
tan
53°
(iv)
1
(v)
-1
Question
13
13.
sec
76°
cosec
57°
cosec
14°
sec
33°
=
(i)
tan
57°
(ii)
tan
76°
(iii)
-1
(iv)
0
(v)
1
Question
14
14.
cosec
7°
sec
55°
sec
83°
cosec
35°
=
(i)
0
(ii)
tan
7°
(iii)
1
(iv)
-1
(v)
tan
55°
Question
15
15.
sin
35°
−
cos
55°
=
(i)
1
(ii)
0
(iii)
2
sin
55°
(iv)
2
sin
35°
(v)
-1
Question
16
16.
cos
84°
−
sin
6°
=
(i)
2
sin
6°
(ii)
-1
(iii)
0
(iv)
2
sin
84°
(v)
1
Question
17
17.
tan
81°
−
cot
9°
=
(i)
1
(ii)
-1
(iii)
2
sin
9°
(iv)
0
(v)
2
sin
81°
Question
18
18.
cot
85°
−
tan
5°
=
(i)
2
sin
85°
(ii)
0
(iii)
-1
(iv)
2
sin
5°
(v)
1
Question
19
19.
sec
46°
−
cosec
44°
=
(i)
0
(ii)
-1
(iii)
2
sin
44°
(iv)
1
(v)
2
sin
46°
Question
20
20.
cosec
48°
−
sec
42°
=
(i)
0
(ii)
1
(iii)
2
sin
42°
(iv)
2
sin
48°
(v)
-1
Question
21
21.
sin
62°
cos
43°
−
cos
28°
sin
47°
=
(i)
0
(ii)
2
sin
43°
(iii)
-1
(iv)
1
(v)
2
sin
62°
Question
22
22.
cos
62°
sin
23°
−
sin
28°
cos
67°
=
(i)
-1
(ii)
2
sin
23°
(iii)
2
sin
62°
(iv)
1
(v)
0
Question
23
23.
tan
52°
cot
86°
−
cot
38°
tan
4°
=
(i)
1
(ii)
0
(iii)
2
sin
52°
(iv)
2
sin
86°
(v)
-1
Question
24
24.
cot
85°
tan
40°
−
tan
5°
cot
50°
=
(i)
0
(ii)
2
sin
40°
(iii)
1
(iv)
-1
(v)
2
sin
85°
Question
25
25.
sec
42°
cosec
57°
−
cosec
48°
sec
33°
=
(i)
0
(ii)
2
sin
42°
(iii)
-1
(iv)
2
sin
57°
(v)
1
Question
26
26.
cosec
11°
sec
72°
−
sec
79°
cosec
18°
=
(i)
2
sin
11°
(ii)
-1
(iii)
2
sin
72°
(iv)
1
(v)
0
Question
27
27.
sin
45°
cos
0°
+
cos
45°
sin
0°
=
(i)
1
(ii)
1
2
√
4
(iii)
1
2
4
√
2
(iv)
1
2
√
2
(v)
1
2
√
1
2
Question
28
28.
Find the value of
tan
30°
tan
15°
tan
60°
tan
75°
(i)
1
(ii)
-1
(iii)
undefined
(iv)
2
(v)
0
Question
29
29.
Find the value of
cot
2
40°
cot
2
50°
(i)
2
(ii)
undefined
(iii)
0
(iv)
1
(v)
-1
Question
30
30.
sin
2
60°
+
sin
2
30°
cos
2
15°
+
cos
2
75°
=
(i)
undefined
(ii)
0
(iii)
1
(iv)
-1
(v)
2
Question
31
31.
sin
55°
cos
35°
+
cos
55°
sin
35°
sin
65°
cos
25°
+
cos
65°
sin
25°
=
(i)
-1
(ii)
undefined
(iii)
1
(iv)
2
(v)
0
Question
32
32.
sin
66°
+
cos
30°
=
(i)
cos
66°
+
sin
30°
(ii)
cos
24°
+
cos
60°
(iii)
sin
66°
+
sin
30°
(iv)
cos
24°
+
sin
60°
Question
33
33.
cos
27°
+
sin
73°
=
(i)
sin
27°
+
cos
73°
(ii)
sin
63°
+
sin
17°
(iii)
cos
27°
+
cos
73°
(iv)
sin
63°
+
cos
17°
Question
34
34.
tan
43°
+
cot
23°
=
(i)
tan
43°
+
tan
23°
(ii)
cot
47°
+
cot
67°
(iii)
cot
47°
+
tan
67°
(iv)
cot
43°
+
tan
23°
Question
35
35.
cot
40°
+
tan
30°
=
(i)
tan
50°
+
tan
60°
(ii)
tan
40°
+
cot
30°
(iii)
tan
50°
+
cot
60°
(iv)
cot
40°
+
cot
30°
Question
36
36.
sec
40°
+
cosec
54°
=
(i)
cosec
50°
+
sec
36°
(ii)
cosec
50°
+
cosec
36°
(iii)
sec
40°
+
sec
54°
(iv)
cosec
40°
+
sec
54°
Question
37
37.
cosec
52°
+
sec
71°
=
(i)
cosec
52°
+
cosec
71°
(ii)
sec
38°
+
sec
19°
(iii)
sec
52°
+
cosec
71°
(iv)
sec
38°
+
cosec
19°
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (ii)
5) (v)
6) (iv)
7) (iii)
8) (i)
9) (v)
10) (v)
11) (iii)
12) (iv)
13) (v)
14) (iii)
15) (ii)
16) (iii)
17) (iv)
18) (ii)
19) (i)
20) (i)
21) (i)
22) (v)
23) (ii)
24) (i)
25) (i)
26) (v)
27) (iv)
28) (i)
29) (iv)
30) (iii)
31) (iii)
32) (iv)
33) (iv)
34) (iii)
35) (iii)
36) (i)
37) (iv)
