EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
cosec
30°
sec
0°
+
sec
45°
cos
90°
=
(i)
2
(ii)
4
(iii)
3
(iv)
(
−
1
)
(v)
1
Question
2
2.
sec
60°
sin
90°
−
cos
30°
cos
45°
cos
90°
tan
60°
−
cot
30°
cosec
45°
=
(i)
(
−
1
3
√
6
+
1
6
)
(ii)
(
−
1
3
√
6
+
1
2
)
(iii)
(
−
1
3
√
8
+
1
4
)
(iv)
(
−
1
3
√
3
+
1
4
)
(v)
(
−
1
3
√
6
+
1
4
)
Question
3
3.
sin
18°
cos
72°
=
(i)
1
(ii)
0
(iii)
tan
72°
(iv)
tan
18°
(v)
-1
Question
4
4.
cos
81°
sin
9°
=
(i)
tan
81°
(ii)
-1
(iii)
0
(iv)
1
(v)
tan
9°
Question
5
5.
tan
88°
cot
2°
=
(i)
-1
(ii)
tan
88°
(iii)
tan
2°
(iv)
0
(v)
1
Question
6
6.
cot
80°
tan
10°
=
(i)
1
(ii)
tan
80°
(iii)
0
(iv)
tan
10°
(v)
-1
Question
7
7.
sec
79°
cosec
11°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
tan
79°
(v)
tan
11°
Question
8
8.
cosec
7°
sec
83°
=
(i)
0
(ii)
tan
7°
(iii)
-1
(iv)
1
(v)
tan
83°
Question
9
9.
sin
9°
cos
36°
cos
81°
sin
54°
=
(i)
tan
36°
(ii)
1
(iii)
0
(iv)
-1
(v)
tan
9°
Question
10
10.
cos
58°
sin
60°
sin
32°
cos
30°
=
(i)
0
(ii)
tan
58°
(iii)
1
(iv)
-1
(v)
tan
60°
Question
11
11.
tan
86°
cot
51°
cot
4°
tan
39°
=
(i)
0
(ii)
tan
51°
(iii)
tan
86°
(iv)
-1
(v)
1
Question
12
12.
cot
66°
tan
65°
tan
24°
cot
25°
=
(i)
0
(ii)
tan
66°
(iii)
1
(iv)
-1
(v)
tan
65°
Question
13
13.
sec
17°
cosec
44°
cosec
73°
sec
46°
=
(i)
tan
44°
(ii)
0
(iii)
1
(iv)
-1
(v)
tan
17°
Question
14
14.
cosec
27°
sec
60°
sec
63°
cosec
30°
=
(i)
-1
(ii)
tan
60°
(iii)
0
(iv)
1
(v)
tan
27°
Question
15
15.
sin
44°
−
cos
46°
=
(i)
0
(ii)
1
(iii)
2
sin
46°
(iv)
-1
(v)
2
sin
44°
Question
16
16.
cos
52°
−
sin
38°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
2
sin
38°
(v)
2
sin
52°
Question
17
17.
tan
78°
−
cot
12°
=
(i)
0
(ii)
1
(iii)
2
sin
78°
(iv)
2
sin
12°
(v)
-1
Question
18
18.
cot
25°
−
tan
65°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
2
sin
25°
(v)
2
sin
65°
Question
19
19.
sec
46°
−
cosec
44°
=
(i)
2
sin
46°
(ii)
2
sin
44°
(iii)
1
(iv)
-1
(v)
0
Question
20
20.
cosec
4°
−
sec
86°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
2
sin
4°
(v)
2
sin
86°
Question
21
21.
sin
67°
cos
18°
−
cos
23°
sin
72°
=
(i)
-1
(ii)
2
sin
67°
(iii)
0
(iv)
1
(v)
2
sin
18°
Question
22
22.
cos
87°
sin
55°
−
sin
3°
cos
35°
=
(i)
0
(ii)
2
sin
55°
(iii)
2
sin
87°
(iv)
-1
(v)
1
Question
23
23.
tan
51°
cot
4°
−
cot
39°
tan
86°
=
(i)
0
(ii)
2
sin
51°
(iii)
2
sin
4°
(iv)
1
(v)
-1
Question
24
24.
cot
59°
tan
30°
−
tan
31°
cot
60°
=
(i)
2
sin
30°
(ii)
0
(iii)
1
(iv)
-1
(v)
2
sin
59°
Question
25
25.
sec
17°
cosec
30°
−
cosec
73°
sec
60°
=
(i)
2
sin
17°
(ii)
1
(iii)
-1
(iv)
2
sin
30°
(v)
0
Question
26
26.
cosec
83°
sec
51°
−
sec
7°
cosec
39°
=
(i)
-1
(ii)
2
sin
83°
(iii)
2
sin
51°
(iv)
0
(v)
1
Question
27
27.
sin
45°
cos
30°
+
cos
45°
sin
30°
=
(i)
(
1
4
√
8
+
1
4
√
2
)
(ii)
(
1
4
√
6
+
1
2
)
(iii)
(
1
4
√
4
+
1
4
√
2
)
(iv)
(
1
4
√
6
+
1
4
√
2
)
(v)
(
1
4
√
6
+
1
4
4
√
2
)
Question
28
28.
Find the value of
tan
5°
tan
15°
tan
85°
tan
75°
(i)
0
(ii)
1
(iii)
undefined
(iv)
-1
(v)
2
Question
29
29.
Find the value of
cot
35°
cot
40°
cot
55°
cot
50°
(i)
0
(ii)
2
(iii)
1
(iv)
-1
(v)
undefined
Question
30
30.
sin
2
35°
+
sin
2
55°
cos
2
30°
+
cos
2
60°
=
(i)
undefined
(ii)
2
(iii)
-1
(iv)
0
(v)
1
Question
31
31.
sin
15°
cos
75°
+
cos
15°
sin
75°
sin
75°
cos
15°
+
cos
75°
sin
15°
=
(i)
undefined
(ii)
-1
(iii)
1
(iv)
0
(v)
2
Question
32
32.
sin
30°
+
cos
60°
=
(i)
cos
60°
+
cos
30°
(ii)
sin
30°
+
sin
60°
(iii)
cos
30°
+
sin
60°
(iv)
cos
60°
+
sin
30°
Question
33
33.
cos
23°
+
sin
59°
=
(i)
cos
23°
+
cos
59°
(ii)
sin
67°
+
cos
31°
(iii)
sin
67°
+
sin
31°
(iv)
sin
23°
+
cos
59°
Question
34
34.
tan
28°
+
cot
69°
=
(i)
cot
62°
+
cot
21°
(ii)
cot
62°
+
tan
21°
(iii)
tan
28°
+
tan
69°
(iv)
cot
28°
+
tan
69°
Question
35
35.
cot
10°
+
tan
66°
=
(i)
tan
10°
+
cot
66°
(ii)
tan
80°
+
tan
24°
(iii)
cot
10°
+
cot
66°
(iv)
tan
80°
+
cot
24°
Question
36
36.
sec
19°
+
cosec
63°
=
(i)
cosec
71°
+
cosec
27°
(ii)
cosec
71°
+
sec
27°
(iii)
sec
19°
+
sec
63°
(iv)
cosec
19°
+
sec
63°
Question
37
37.
cosec
15°
+
sec
27°
=
(i)
sec
75°
+
cosec
63°
(ii)
sec
75°
+
sec
63°
(iii)
cosec
15°
+
cosec
27°
(iv)
sec
15°
+
cosec
27°
Assignment Key
1) (i)
2) (v)
3) (i)
4) (iv)
5) (v)
6) (i)
7) (iii)
8) (iv)
9) (ii)
10) (iii)
11) (v)
12) (iii)
13) (iii)
14) (iv)
15) (i)
16) (iii)
17) (i)
18) (i)
19) (v)
20) (ii)
21) (iii)
22) (i)
23) (i)
24) (ii)
25) (v)
26) (iv)
27) (iv)
28) (ii)
29) (iii)
30) (v)
31) (iii)
32) (iv)
33) (ii)
34) (ii)
35) (iv)
36) (ii)
37) (i)
