EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
cos
0°
tan
45°
−
sin
30°
cosec
90°
=
(i)
1
4
(ii)
(
−
1
2
)
(iii)
1
2
(iv)
3
2
(v)
1
Question
2
2.
tan
60°
cos
60°
cosec
30°
−
cos
30°
cot
45°
sin
45°
sec
0°
cot
60°
−
sec
45°
cos
30°
=
(i)
(
−
3
14
−
15
14
4
√
2
)
(ii)
(
−
1
14
−
15
14
√
2
)
(iii)
(
−
5
14
−
15
14
√
2
)
(iv)
(
−
3
14
−
15
7
)
(v)
(
−
3
14
−
15
14
√
2
)
Question
3
3.
sin
49°
cos
41°
=
(i)
1
(ii)
0
(iii)
tan
49°
(iv)
tan
41°
(v)
-1
Question
4
4.
cos
40°
sin
50°
=
(i)
-1
(ii)
0
(iii)
tan
50°
(iv)
1
(v)
tan
40°
Question
5
5.
tan
79°
cot
11°
=
(i)
0
(ii)
tan
11°
(iii)
1
(iv)
-1
(v)
tan
79°
Question
6
6.
cot
47°
tan
43°
=
(i)
1
(ii)
0
(iii)
tan
47°
(iv)
-1
(v)
tan
43°
Question
7
7.
sec
14°
cosec
76°
=
(i)
tan
14°
(ii)
tan
76°
(iii)
0
(iv)
1
(v)
-1
Question
8
8.
cosec
31°
sec
59°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
tan
31°
(v)
tan
59°
Question
9
9.
sin
39°
cos
26°
cos
51°
sin
64°
=
(i)
-1
(ii)
tan
26°
(iii)
1
(iv)
tan
39°
(v)
0
Question
10
10.
cos
22°
sin
57°
sin
68°
cos
33°
=
(i)
tan
22°
(ii)
-1
(iii)
0
(iv)
1
(v)
tan
57°
Question
11
11.
tan
63°
cot
59°
cot
27°
tan
31°
=
(i)
-1
(ii)
0
(iii)
tan
59°
(iv)
tan
63°
(v)
1
Question
12
12.
cot
37°
tan
41°
tan
53°
cot
49°
=
(i)
0
(ii)
tan
41°
(iii)
-1
(iv)
1
(v)
tan
37°
Question
13
13.
sec
2°
cosec
41°
cosec
88°
sec
49°
=
(i)
-1
(ii)
0
(iii)
tan
41°
(iv)
1
(v)
tan
2°
Question
14
14.
cosec
70°
sec
31°
sec
20°
cosec
59°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
tan
70°
(v)
tan
31°
Question
15
15.
sin
63°
−
cos
27°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
2
sin
63°
(v)
2
sin
27°
Question
16
16.
cos
7°
−
sin
83°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
2
sin
83°
(v)
2
sin
7°
Question
17
17.
tan
40°
−
cot
50°
=
(i)
2
sin
40°
(ii)
2
sin
50°
(iii)
0
(iv)
1
(v)
-1
Question
18
18.
cot
19°
−
tan
71°
=
(i)
2
sin
71°
(ii)
0
(iii)
-1
(iv)
2
sin
19°
(v)
1
Question
19
19.
sec
55°
−
cosec
35°
=
(i)
2
sin
35°
(ii)
1
(iii)
0
(iv)
2
sin
55°
(v)
-1
Question
20
20.
cosec
32°
−
sec
58°
=
(i)
2
sin
32°
(ii)
1
(iii)
-1
(iv)
0
(v)
2
sin
58°
Question
21
21.
sin
43°
cos
12°
−
cos
47°
sin
78°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
2
sin
12°
(v)
2
sin
43°
Question
22
22.
cos
16°
sin
4°
−
sin
74°
cos
86°
=
(i)
0
(ii)
2
sin
16°
(iii)
2
sin
4°
(iv)
-1
(v)
1
Question
23
23.
tan
46°
cot
37°
−
cot
44°
tan
53°
=
(i)
2
sin
37°
(ii)
0
(iii)
2
sin
46°
(iv)
1
(v)
-1
Question
24
24.
cot
73°
tan
29°
−
tan
17°
cot
61°
=
(i)
0
(ii)
2
sin
29°
(iii)
2
sin
73°
(iv)
1
(v)
-1
Question
25
25.
sec
77°
cosec
44°
−
cosec
13°
sec
46°
=
(i)
2
sin
77°
(ii)
-1
(iii)
2
sin
44°
(iv)
0
(v)
1
Question
26
26.
cosec
32°
sec
8°
−
sec
58°
cosec
82°
=
(i)
2
sin
8°
(ii)
0
(iii)
-1
(iv)
2
sin
32°
(v)
1
Question
27
27.
sin
30°
cos
0°
+
cos
30°
sin
0°
=
(i)
1
2
(ii)
1
4
(iii)
(
−
1
2
)
(iv)
1
(v)
3
2
Question
28
28.
Find the value of
tan
80°
tan
20°
tan
10°
tan
70°
(i)
1
(ii)
2
(iii)
0
(iv)
-1
(v)
undefined
Question
29
29.
Find the value of
cot
20°
cot
10°
cot
70°
cot
80°
(i)
undefined
(ii)
0
(iii)
2
(iv)
1
(v)
-1
Question
30
30.
sin
2
55°
+
sin
2
35°
cos
2
30°
+
cos
2
60°
=
(i)
2
(ii)
undefined
(iii)
-1
(iv)
0
(v)
1
Question
31
31.
sin
20°
cos
70°
+
cos
20°
sin
70°
sin
40°
cos
50°
+
cos
40°
sin
50°
=
(i)
0
(ii)
1
(iii)
2
(iv)
-1
(v)
undefined
Question
32
32.
sin
34°
+
cos
79°
=
(i)
cos
34°
+
sin
79°
(ii)
cos
56°
+
cos
11°
(iii)
sin
34°
+
sin
79°
(iv)
cos
56°
+
sin
11°
Question
33
33.
cos
17°
+
sin
70°
=
(i)
sin
73°
+
sin
20°
(ii)
sin
17°
+
cos
70°
(iii)
cos
17°
+
cos
70°
(iv)
sin
73°
+
cos
20°
Question
34
34.
tan
59°
+
cot
51°
=
(i)
tan
59°
+
tan
51°
(ii)
cot
31°
+
cot
39°
(iii)
cot
59°
+
tan
51°
(iv)
cot
31°
+
tan
39°
Question
35
35.
cot
60°
+
tan
24°
=
(i)
tan
60°
+
cot
24°
(ii)
tan
30°
+
tan
66°
(iii)
tan
30°
+
cot
66°
(iv)
cot
60°
+
cot
24°
Question
36
36.
sec
43°
+
cosec
27°
=
(i)
cosec
43°
+
sec
27°
(ii)
cosec
47°
+
cosec
63°
(iii)
cosec
47°
+
sec
63°
(iv)
sec
43°
+
sec
27°
Question
37
37.
cosec
42°
+
sec
45°
=
(i)
sec
48°
+
cosec
45°
(ii)
cosec
42°
+
cosec
45°
(iii)
sec
42°
+
cosec
45°
(iv)
sec
48°
+
sec
45°
Assignment Key
1) (iii)
2) (v)
3) (i)
4) (iv)
5) (iii)
6) (i)
7) (iv)
8) (i)
9) (iii)
10) (iv)
11) (v)
12) (iv)
13) (iv)
14) (i)
15) (i)
16) (iii)
17) (iii)
18) (ii)
19) (iii)
20) (iv)
21) (iii)
22) (i)
23) (ii)
24) (i)
25) (iv)
26) (ii)
27) (i)
28) (i)
29) (iv)
30) (v)
31) (ii)
32) (iv)
33) (iv)
34) (iv)
35) (iii)
36) (iii)
37) (i)