EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
cosec
90°
sin
60°
sin
0°
−
sin
30°
cot
30°
sec
0°
=
(i)
(
−
1
2
√
1
3
)
(ii)
(
−
1
2
4
√
3
)
(iii)
(
−
1
2
√
5
)
(iv)
(
−
1
2
√
3
)
(v)
(
−
3
2
)
Question
2
2.
cos
0°
cos
90°
cot
45°
+
cosec
45°
cos
45°
sin
30°
sec
60°
sin
30°
cosec
30°
+
sin
60°
cot
45°
tan
45°
=
(i)
(
2
13
−
1
13
√
3
)
(ii)
(
6
13
−
1
13
√
3
)
(iii)
(
4
13
−
1
13
√
3
)
(iv)
(
4
13
−
1
13
4
√
3
)
(v)
(
4
13
−
3
13
)
Question
3
3.
sin
84°
cos
6°
=
(i)
tan
84°
(ii)
0
(iii)
tan
6°
(iv)
-1
(v)
1
Question
4
4.
cos
57°
sin
33°
=
(i)
tan
33°
(ii)
-1
(iii)
tan
57°
(iv)
0
(v)
1
Question
5
5.
tan
34°
cot
56°
=
(i)
tan
34°
(ii)
0
(iii)
tan
56°
(iv)
-1
(v)
1
Question
6
6.
cot
15°
tan
75°
=
(i)
tan
75°
(ii)
-1
(iii)
1
(iv)
tan
15°
(v)
0
Question
7
7.
sec
46°
cosec
44°
=
(i)
tan
44°
(ii)
-1
(iii)
0
(iv)
1
(v)
tan
46°
Question
8
8.
cosec
87°
sec
3°
=
(i)
tan
3°
(ii)
0
(iii)
-1
(iv)
1
(v)
tan
87°
Question
9
9.
sin
49°
cos
67°
cos
41°
sin
23°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
tan
49°
(v)
tan
67°
Question
10
10.
cos
18°
sin
49°
sin
72°
cos
41°
=
(i)
-1
(ii)
1
(iii)
0
(iv)
tan
18°
(v)
tan
49°
Question
11
11.
tan
78°
cot
9°
cot
12°
tan
81°
=
(i)
1
(ii)
tan
9°
(iii)
-1
(iv)
0
(v)
tan
78°
Question
12
12.
cot
18°
tan
56°
tan
72°
cot
34°
=
(i)
-1
(ii)
tan
56°
(iii)
tan
18°
(iv)
1
(v)
0
Question
13
13.
sec
73°
cosec
5°
cosec
17°
sec
85°
=
(i)
tan
73°
(ii)
tan
5°
(iii)
1
(iv)
0
(v)
-1
Question
14
14.
cosec
59°
sec
7°
sec
31°
cosec
83°
=
(i)
tan
59°
(ii)
1
(iii)
-1
(iv)
0
(v)
tan
7°
Question
15
15.
sin
85°
−
cos
5°
=
(i)
0
(ii)
-1
(iii)
2
sin
5°
(iv)
2
sin
85°
(v)
1
Question
16
16.
cos
9°
−
sin
81°
=
(i)
2
sin
9°
(ii)
2
sin
81°
(iii)
0
(iv)
1
(v)
-1
Question
17
17.
tan
19°
−
cot
71°
=
(i)
1
(ii)
2
sin
19°
(iii)
-1
(iv)
0
(v)
2
sin
71°
Question
18
18.
cot
35°
−
tan
55°
=
(i)
0
(ii)
2
sin
55°
(iii)
1
(iv)
2
sin
35°
(v)
-1
Question
19
19.
sec
61°
−
cosec
29°
=
(i)
-1
(ii)
0
(iii)
2
sin
29°
(iv)
2
sin
61°
(v)
1
Question
20
20.
cosec
23°
−
sec
67°
=
(i)
-1
(ii)
2
sin
67°
(iii)
0
(iv)
2
sin
23°
(v)
1
Question
21
21.
sin
70°
cos
32°
−
cos
20°
sin
58°
=
(i)
2
sin
32°
(ii)
2
sin
70°
(iii)
0
(iv)
1
(v)
-1
Question
22
22.
cos
6°
sin
59°
−
sin
84°
cos
31°
=
(i)
2
sin
6°
(ii)
1
(iii)
0
(iv)
-1
(v)
2
sin
59°
Question
23
23.
tan
33°
cot
16°
−
cot
57°
tan
74°
=
(i)
2
sin
16°
(ii)
-1
(iii)
1
(iv)
2
sin
33°
(v)
0
Question
24
24.
cot
68°
tan
53°
−
tan
22°
cot
37°
=
(i)
1
(ii)
2
sin
68°
(iii)
-1
(iv)
2
sin
53°
(v)
0
Question
25
25.
sec
49°
cosec
28°
−
cosec
41°
sec
62°
=
(i)
-1
(ii)
2
sin
28°
(iii)
2
sin
49°
(iv)
1
(v)
0
Question
26
26.
cosec
20°
sec
14°
−
sec
70°
cosec
76°
=
(i)
2
sin
14°
(ii)
1
(iii)
-1
(iv)
0
(v)
2
sin
20°
Question
27
27.
Find the value of
tan
5°
tan
40°
tan
85°
tan
50°
(i)
undefined
(ii)
2
(iii)
1
(iv)
0
(v)
-1
Question
28
28.
Find the value of
cot
60°
cot
40°
cot
30°
cot
50°
(i)
-1
(ii)
1
(iii)
2
(iv)
undefined
(v)
0
Question
29
29.
sin
25°
+
cos
36°
=
(i)
cos
65°
+
sin
54°
(ii)
cos
65°
+
cos
54°
(iii)
cos
25°
+
sin
36°
(iv)
sin
25°
+
sin
36°
Question
30
30.
cos
12°
+
sin
66°
=
(i)
sin
78°
+
sin
24°
(ii)
sin
12°
+
cos
66°
(iii)
cos
12°
+
cos
66°
(iv)
sin
78°
+
cos
24°
Question
31
31.
tan
45°
+
cot
25°
=
(i)
cot
45°
+
cot
65°
(ii)
cot
45°
+
tan
25°
(iii)
tan
45°
+
tan
25°
(iv)
cot
45°
+
tan
65°
Question
32
32.
cot
31°
+
tan
79°
=
(i)
tan
59°
+
cot
11°
(ii)
tan
59°
+
tan
11°
(iii)
tan
31°
+
cot
79°
(iv)
cot
31°
+
cot
79°
Question
33
33.
sec
29°
+
cosec
17°
=
(i)
cosec
29°
+
sec
17°
(ii)
sec
29°
+
sec
17°
(iii)
cosec
61°
+
sec
73°
(iv)
cosec
61°
+
cosec
73°
Question
34
34.
cosec
68°
+
sec
65°
=
(i)
cosec
68°
+
cosec
65°
(ii)
sec
22°
+
cosec
25°
(iii)
sec
68°
+
cosec
65°
(iv)
sec
22°
+
sec
25°
Assignment Key
1) (iv)
2) (iii)
3) (v)
4) (v)
5) (v)
6) (iii)
7) (iv)
8) (iv)
9) (i)
10) (ii)
11) (i)
12) (iv)
13) (iii)
14) (ii)
15) (i)
16) (iii)
17) (iv)
18) (i)
19) (ii)
20) (iii)
21) (iii)
22) (iii)
23) (v)
24) (v)
25) (v)
26) (iv)
27) (iii)
28) (ii)
29) (i)
30) (iv)
31) (iv)
32) (i)
33) (iii)
34) (ii)
