EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
cosec
60°
tan
60°
−
sin
60°
sec
45°
=
(i)
(
2
−
1
2
4
√
6
)
(ii)
(
−
1
−
1
2
√
6
)
(iii)
(
5
−
1
2
√
6
)
(iv)
(
2
−
3
)
(v)
(
2
−
1
2
√
6
)
Question
2
2.
sin
0°
sin
90°
sin
60°
−
cot
90°
tan
60°
cosec
45°
cosec
90°
sin
45°
sec
60°
+
cos
30°
sec
0°
tan
45°
=
(i)
1
(ii)
(
−
1
)
(iii)
(
−
3
)
(iv)
0
(v)
2
Question
3
3.
sin
78°
cos
12°
=
(i)
tan
78°
(ii)
-1
(iii)
tan
12°
(iv)
1
(v)
0
Question
4
4.
cos
21°
sin
69°
=
(i)
tan
69°
(ii)
0
(iii)
1
(iv)
tan
21°
(v)
-1
Question
5
5.
tan
66°
cot
24°
=
(i)
0
(ii)
tan
24°
(iii)
1
(iv)
-1
(v)
tan
66°
Question
6
6.
cot
47°
tan
43°
=
(i)
0
(ii)
-1
(iii)
tan
43°
(iv)
tan
47°
(v)
1
Question
7
7.
sec
62°
cosec
28°
=
(i)
-1
(ii)
tan
62°
(iii)
tan
28°
(iv)
0
(v)
1
Question
8
8.
cosec
39°
sec
51°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
tan
39°
(v)
tan
51°
Question
9
9.
sin
22°
cos
12°
cos
68°
sin
78°
=
(i)
-1
(ii)
tan
12°
(iii)
0
(iv)
tan
22°
(v)
1
Question
10
10.
cos
53°
sin
15°
sin
37°
cos
75°
=
(i)
tan
53°
(ii)
-1
(iii)
tan
15°
(iv)
0
(v)
1
Question
11
11.
tan
23°
cot
63°
cot
67°
tan
27°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
tan
23°
(v)
tan
63°
Question
12
12.
cot
5°
tan
3°
tan
85°
cot
87°
=
(i)
0
(ii)
tan
3°
(iii)
-1
(iv)
1
(v)
tan
5°
Question
13
13.
sec
22°
cosec
87°
cosec
68°
sec
3°
=
(i)
0
(ii)
1
(iii)
tan
22°
(iv)
-1
(v)
tan
87°
Question
14
14.
cosec
15°
sec
32°
sec
75°
cosec
58°
=
(i)
tan
15°
(ii)
1
(iii)
0
(iv)
-1
(v)
tan
32°
Question
15
15.
sin
15°
−
cos
75°
=
(i)
0
(ii)
-1
(iii)
2
sin
15°
(iv)
1
(v)
2
sin
75°
Question
16
16.
cos
34°
−
sin
56°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
2
sin
56°
(v)
2
sin
34°
Question
17
17.
tan
46°
−
cot
44°
=
(i)
2
sin
46°
(ii)
1
(iii)
-1
(iv)
0
(v)
2
sin
44°
Question
18
18.
cot
32°
−
tan
58°
=
(i)
0
(ii)
2
sin
32°
(iii)
2
sin
58°
(iv)
-1
(v)
1
Question
19
19.
sec
82°
−
cosec
8°
=
(i)
2
sin
8°
(ii)
-1
(iii)
1
(iv)
0
(v)
2
sin
82°
Question
20
20.
cosec
21°
−
sec
69°
=
(i)
2
sin
21°
(ii)
1
(iii)
2
sin
69°
(iv)
0
(v)
-1
Question
21
21.
sin
57°
cos
75°
−
cos
33°
sin
15°
=
(i)
2
sin
75°
(ii)
2
sin
57°
(iii)
1
(iv)
-1
(v)
0
Question
22
22.
cos
42°
sin
73°
−
sin
48°
cos
17°
=
(i)
0
(ii)
-1
(iii)
2
sin
42°
(iv)
1
(v)
2
sin
73°
Question
23
23.
tan
41°
cot
71°
−
cot
49°
tan
19°
=
(i)
-1
(ii)
2
sin
71°
(iii)
1
(iv)
0
(v)
2
sin
41°
Question
24
24.
cot
39°
tan
81°
−
tan
51°
cot
9°
=
(i)
1
(ii)
2
sin
81°
(iii)
2
sin
39°
(iv)
0
(v)
-1
Question
25
25.
sec
27°
cosec
40°
−
cosec
63°
sec
50°
=
(i)
1
(ii)
2
sin
27°
(iii)
-1
(iv)
2
sin
40°
(v)
0
Question
26
26.
cosec
54°
sec
4°
−
sec
36°
cosec
86°
=
(i)
2
sin
4°
(ii)
-1
(iii)
1
(iv)
0
(v)
2
sin
54°
Question
27
27.
sin
90°
cos
60°
+
cos
90°
sin
60°
=
(i)
3
2
(ii)
1
(iii)
1
4
(iv)
1
2
(v)
(
−
1
2
)
Question
28
28.
Find the value of
tan
2
40°
tan
2
50°
(i)
-1
(ii)
0
(iii)
2
(iv)
1
(v)
undefined
Question
29
29.
Find the value of
cot
10°
cot
30°
cot
80°
cot
60°
(i)
1
(ii)
0
(iii)
-1
(iv)
undefined
(v)
2
Question
30
30.
sin
2
5°
+
sin
2
85°
cos
2
20°
+
cos
2
70°
=
(i)
2
(ii)
1
(iii)
-1
(iv)
undefined
(v)
0
Question
31
31.
sin
75°
cos
15°
+
cos
75°
sin
15°
sin
40°
cos
50°
+
cos
40°
sin
50°
=
(i)
-1
(ii)
undefined
(iii)
0
(iv)
1
(v)
2
Question
32
32.
sin
63°
+
cos
42°
=
(i)
cos
27°
+
sin
48°
(ii)
cos
27°
+
cos
48°
(iii)
sin
63°
+
sin
42°
(iv)
cos
63°
+
sin
42°
Question
33
33.
cos
47°
+
sin
55°
=
(i)
sin
47°
+
cos
55°
(ii)
sin
43°
+
sin
35°
(iii)
cos
47°
+
cos
55°
(iv)
sin
43°
+
cos
35°
Question
34
34.
tan
27°
+
cot
13°
=
(i)
cot
27°
+
tan
13°
(ii)
tan
27°
+
tan
13°
(iii)
cot
63°
+
tan
77°
(iv)
cot
63°
+
cot
77°
Question
35
35.
cot
65°
+
tan
49°
=
(i)
cot
65°
+
cot
49°
(ii)
tan
65°
+
cot
49°
(iii)
tan
25°
+
cot
41°
(iv)
tan
25°
+
tan
41°
Question
36
36.
sec
40°
+
cosec
50°
=
(i)
cosec
40°
+
sec
50°
(ii)
sec
40°
+
sec
50°
(iii)
cosec
50°
+
sec
40°
(iv)
cosec
50°
+
cosec
40°
Question
37
37.
cosec
19°
+
sec
10°
=
(i)
sec
71°
+
sec
80°
(ii)
sec
19°
+
cosec
10°
(iii)
cosec
19°
+
cosec
10°
(iv)
sec
71°
+
cosec
80°
Assignment Key
1) (v)
2) (iv)
3) (iv)
4) (iii)
5) (iii)
6) (v)
7) (v)
8) (ii)
9) (v)
10) (v)
11) (ii)
12) (iv)
13) (ii)
14) (ii)
15) (i)
16) (i)
17) (iv)
18) (i)
19) (iv)
20) (iv)
21) (v)
22) (i)
23) (iv)
24) (iv)
25) (v)
26) (iv)
27) (iv)
28) (iv)
29) (i)
30) (ii)
31) (iv)
32) (i)
33) (iv)
34) (iii)
35) (iii)
36) (iii)
37) (iv)
