EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
cot
60°
cosec
90°
+
sin
0°
sec
45°
=
(i)
1
(ii)
1
3
4
√
3
(iii)
1
3
√
1
3
(iv)
1
3
√
5
(v)
1
3
√
3
Question
2
2.
cot
45°
tan
45°
cosec
60°
−
tan
30°
sin
60°
tan
0°
cos
90°
sin
60°
cos
30°
−
cot
45°
cosec
90°
tan
45°
=
(i)
(
−
2
3
4
√
3
)
(ii)
(
−
2
)
(iii)
(
−
2
3
)
(iv)
(
−
2
3
√
6
)
(v)
(
−
2
3
√
3
)
Question
3
3.
sin
20°
cos
70°
=
(i)
tan
20°
(ii)
-1
(iii)
tan
70°
(iv)
1
(v)
0
Question
4
4.
cos
75°
sin
15°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
tan
15°
(v)
tan
75°
Question
5
5.
tan
73°
cot
17°
=
(i)
0
(ii)
tan
17°
(iii)
-1
(iv)
1
(v)
tan
73°
Question
6
6.
cot
11°
tan
79°
=
(i)
0
(ii)
-1
(iii)
tan
79°
(iv)
1
(v)
tan
11°
Question
7
7.
sec
23°
cosec
67°
=
(i)
0
(ii)
1
(iii)
tan
67°
(iv)
-1
(v)
tan
23°
Question
8
8.
cosec
19°
sec
71°
=
(i)
tan
19°
(ii)
1
(iii)
tan
71°
(iv)
-1
(v)
0
Question
9
9.
sin
55°
cos
70°
cos
35°
sin
20°
=
(i)
-1
(ii)
tan
70°
(iii)
tan
55°
(iv)
0
(v)
1
Question
10
10.
cos
9°
sin
69°
sin
81°
cos
21°
=
(i)
0
(ii)
tan
69°
(iii)
-1
(iv)
tan
9°
(v)
1
Question
11
11.
tan
66°
cot
14°
cot
24°
tan
76°
=
(i)
tan
66°
(ii)
-1
(iii)
1
(iv)
tan
14°
(v)
0
Question
12
12.
cot
72°
tan
79°
tan
18°
cot
11°
=
(i)
1
(ii)
tan
72°
(iii)
tan
79°
(iv)
-1
(v)
0
Question
13
13.
sec
59°
cosec
79°
cosec
31°
sec
11°
=
(i)
-1
(ii)
tan
59°
(iii)
tan
79°
(iv)
0
(v)
1
Question
14
14.
cosec
77°
sec
57°
sec
13°
cosec
33°
=
(i)
tan
57°
(ii)
1
(iii)
-1
(iv)
0
(v)
tan
77°
Question
15
15.
sin
78°
−
cos
12°
=
(i)
-1
(ii)
2
sin
12°
(iii)
0
(iv)
1
(v)
2
sin
78°
Question
16
16.
cos
68°
−
sin
22°
=
(i)
2
sin
68°
(ii)
0
(iii)
2
sin
22°
(iv)
-1
(v)
1
Question
17
17.
tan
60°
−
cot
30°
=
(i)
2
sin
30°
(ii)
1
(iii)
0
(iv)
2
sin
60°
(v)
-1
Question
18
18.
cot
46°
−
tan
44°
=
(i)
-1
(ii)
1
(iii)
2
sin
46°
(iv)
2
sin
44°
(v)
0
Question
19
19.
sec
34°
−
cosec
56°
=
(i)
2
sin
34°
(ii)
2
sin
56°
(iii)
0
(iv)
-1
(v)
1
Question
20
20.
cosec
26°
−
sec
64°
=
(i)
0
(ii)
1
(iii)
2
sin
64°
(iv)
-1
(v)
2
sin
26°
Question
21
21.
sin
11°
cos
44°
−
cos
79°
sin
46°
=
(i)
2
sin
11°
(ii)
0
(iii)
-1
(iv)
2
sin
44°
(v)
1
Question
22
22.
cos
41°
sin
61°
−
sin
49°
cos
29°
=
(i)
2
sin
61°
(ii)
0
(iii)
-1
(iv)
1
(v)
2
sin
41°
Question
23
23.
tan
30°
cot
22°
−
cot
60°
tan
68°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
2
sin
22°
(v)
2
sin
30°
Question
24
24.
cot
60°
tan
65°
−
tan
30°
cot
25°
=
(i)
-1
(ii)
1
(iii)
0
(iv)
2
sin
60°
(v)
2
sin
65°
Question
25
25.
sec
41°
cosec
66°
−
cosec
49°
sec
24°
=
(i)
2
sin
66°
(ii)
1
(iii)
0
(iv)
2
sin
41°
(v)
-1
Question
26
26.
cosec
38°
sec
5°
−
sec
52°
cosec
85°
=
(i)
1
(ii)
2
sin
38°
(iii)
0
(iv)
-1
(v)
2
sin
5°
Question
27
27.
Find the value of
tan
30°
tan
70°
tan
60°
tan
20°
(i)
2
(ii)
undefined
(iii)
1
(iv)
0
(v)
-1
Question
28
28.
Find the value of
cot
5°
cot
15°
cot
85°
cot
75°
(i)
-1
(ii)
undefined
(iii)
1
(iv)
2
(v)
0
Question
29
29.
sin
54°
+
cos
11°
=
(i)
cos
36°
+
cos
79°
(ii)
cos
36°
+
sin
79°
(iii)
cos
54°
+
sin
11°
(iv)
sin
54°
+
sin
11°
Question
30
30.
cos
25°
+
sin
76°
=
(i)
cos
25°
+
cos
76°
(ii)
sin
65°
+
sin
14°
(iii)
sin
65°
+
cos
14°
(iv)
sin
25°
+
cos
76°
Question
31
31.
tan
27°
+
cot
17°
=
(i)
cot
63°
+
tan
73°
(ii)
tan
27°
+
tan
17°
(iii)
cot
27°
+
tan
17°
(iv)
cot
63°
+
cot
73°
Question
32
32.
cot
23°
+
tan
28°
=
(i)
tan
23°
+
cot
28°
(ii)
cot
23°
+
cot
28°
(iii)
tan
67°
+
cot
62°
(iv)
tan
67°
+
tan
62°
Question
33
33.
sec
58°
+
cosec
52°
=
(i)
sec
58°
+
sec
52°
(ii)
cosec
32°
+
cosec
38°
(iii)
cosec
58°
+
sec
52°
(iv)
cosec
32°
+
sec
38°
Question
34
34.
cosec
66°
+
sec
14°
=
(i)
sec
66°
+
cosec
14°
(ii)
cosec
66°
+
cosec
14°
(iii)
sec
24°
+
sec
76°
(iv)
sec
24°
+
cosec
76°
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (iii)
5) (iv)
6) (iv)
7) (ii)
8) (ii)
9) (v)
10) (v)
11) (iii)
12) (i)
13) (v)
14) (ii)
15) (iii)
16) (ii)
17) (iii)
18) (v)
19) (iii)
20) (i)
21) (ii)
22) (ii)
23) (i)
24) (iii)
25) (iii)
26) (iii)
27) (iii)
28) (iii)
29) (ii)
30) (iii)
31) (i)
32) (iii)
33) (iv)
34) (iv)
