EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
tan
0°
cosec
30°
cosec
45°
+
sin
0°
cos
90°
tan
45°
=
(i)
1
(ii)
0
(iii)
3
(iv)
(
−
1
)
(v)
(
−
2
)
Question
2
2.
cos
0°
cot
90°
+
sin
45°
sec
30°
cos
90°
cosec
30°
sin
90°
+
tan
60°
sec
60°
sin
45°
=
(i)
(
−
1
3
)
(ii)
1
(iii)
1
5
(iv)
1
3
Question
3
3.
sin
51°
cos
39°
=
(i)
1
(ii)
-1
(iii)
tan
51°
(iv)
tan
39°
(v)
0
Question
4
4.
cos
7°
sin
83°
=
(i)
tan
83°
(ii)
-1
(iii)
tan
7°
(iv)
0
(v)
1
Question
5
5.
tan
44°
cot
46°
=
(i)
1
(ii)
tan
46°
(iii)
-1
(iv)
tan
44°
(v)
0
Question
6
6.
cot
67°
tan
23°
=
(i)
0
(ii)
1
(iii)
tan
23°
(iv)
tan
67°
(v)
-1
Question
7
7.
sec
34°
cosec
56°
=
(i)
tan
34°
(ii)
1
(iii)
0
(iv)
tan
56°
(v)
-1
Question
8
8.
cosec
82°
sec
8°
=
(i)
1
(ii)
tan
8°
(iii)
tan
82°
(iv)
0
(v)
-1
Question
9
9.
sin
70°
cos
77°
cos
20°
sin
13°
=
(i)
1
(ii)
-1
(iii)
tan
77°
(iv)
0
(v)
tan
70°
Question
10
10.
cos
39°
sin
55°
sin
51°
cos
35°
=
(i)
-1
(ii)
0
(iii)
tan
39°
(iv)
tan
55°
(v)
1
Question
11
11.
tan
15°
cot
86°
cot
75°
tan
4°
=
(i)
0
(ii)
tan
86°
(iii)
tan
15°
(iv)
-1
(v)
1
Question
12
12.
cot
12°
tan
38°
tan
78°
cot
52°
=
(i)
-1
(ii)
0
(iii)
tan
12°
(iv)
tan
38°
(v)
1
Question
13
13.
sec
34°
cosec
5°
cosec
56°
sec
85°
=
(i)
1
(ii)
tan
5°
(iii)
tan
34°
(iv)
-1
(v)
0
Question
14
14.
cosec
25°
sec
3°
sec
65°
cosec
87°
=
(i)
tan
3°
(ii)
tan
25°
(iii)
1
(iv)
0
(v)
-1
Question
15
15.
sin
24°
−
cos
66°
=
(i)
2
sin
24°
(ii)
1
(iii)
-1
(iv)
2
sin
66°
(v)
0
Question
16
16.
cos
52°
−
sin
38°
=
(i)
-1
(ii)
2
sin
38°
(iii)
2
sin
52°
(iv)
1
(v)
0
Question
17
17.
tan
70°
−
cot
20°
=
(i)
1
(ii)
2
sin
70°
(iii)
0
(iv)
2
sin
20°
(v)
-1
Question
18
18.
cot
81°
−
tan
9°
=
(i)
1
(ii)
2
sin
81°
(iii)
-1
(iv)
2
sin
9°
(v)
0
Question
19
19.
sec
57°
−
cosec
33°
=
(i)
2
sin
57°
(ii)
0
(iii)
2
sin
33°
(iv)
1
(v)
-1
Question
20
20.
cosec
34°
−
sec
56°
=
(i)
2
sin
56°
(ii)
-1
(iii)
2
sin
34°
(iv)
1
(v)
0
Question
21
21.
sin
36°
cos
31°
−
cos
54°
sin
59°
=
(i)
2
sin
31°
(ii)
-1
(iii)
1
(iv)
0
(v)
2
sin
36°
Question
22
22.
cos
36°
sin
26°
−
sin
54°
cos
64°
=
(i)
2
sin
26°
(ii)
0
(iii)
-1
(iv)
1
(v)
2
sin
36°
Question
23
23.
tan
5°
cot
5°
−
cot
85°
tan
85°
=
(i)
2
sin
5°
(ii)
-1
(iii)
1
(iv)
0
Question
24
24.
cot
17°
tan
6°
−
tan
73°
cot
84°
=
(i)
2
sin
17°
(ii)
2
sin
6°
(iii)
1
(iv)
0
(v)
-1
Question
25
25.
sec
61°
cosec
34°
−
cosec
29°
sec
56°
=
(i)
1
(ii)
-1
(iii)
2
sin
61°
(iv)
2
sin
34°
(v)
0
Question
26
26.
cosec
5°
sec
16°
−
sec
85°
cosec
74°
=
(i)
1
(ii)
2
sin
5°
(iii)
0
(iv)
-1
(v)
2
sin
16°
Question
27
27.
Find the value of
tan
80°
tan
5°
tan
10°
tan
85°
(i)
undefined
(ii)
1
(iii)
-1
(iv)
2
(v)
0
Question
28
28.
Find the value of
cot
80°
cot
15°
cot
10°
cot
75°
(i)
1
(ii)
undefined
(iii)
2
(iv)
0
(v)
-1
Question
29
29.
sin
34°
+
cos
46°
=
(i)
cos
34°
+
sin
46°
(ii)
sin
34°
+
sin
46°
(iii)
cos
56°
+
sin
44°
(iv)
cos
56°
+
cos
44°
Question
30
30.
cos
59°
+
sin
55°
=
(i)
sin
31°
+
sin
35°
(ii)
cos
59°
+
cos
55°
(iii)
sin
59°
+
cos
55°
(iv)
sin
31°
+
cos
35°
Question
31
31.
tan
25°
+
cot
31°
=
(i)
tan
25°
+
tan
31°
(ii)
cot
65°
+
tan
59°
(iii)
cot
25°
+
tan
31°
(iv)
cot
65°
+
cot
59°
Question
32
32.
cot
57°
+
tan
68°
=
(i)
tan
57°
+
cot
68°
(ii)
tan
33°
+
tan
22°
(iii)
tan
33°
+
cot
22°
(iv)
cot
57°
+
cot
68°
Question
33
33.
sec
80°
+
cosec
35°
=
(i)
cosec
10°
+
cosec
55°
(ii)
cosec
10°
+
sec
55°
(iii)
cosec
80°
+
sec
35°
(iv)
sec
80°
+
sec
35°
Question
34
34.
cosec
78°
+
sec
38°
=
(i)
sec
78°
+
cosec
38°
(ii)
sec
12°
+
sec
52°
(iii)
cosec
78°
+
cosec
38°
(iv)
sec
12°
+
cosec
52°
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (v)
5) (i)
6) (ii)
7) (ii)
8) (i)
9) (i)
10) (v)
11) (v)
12) (v)
13) (i)
14) (iii)
15) (v)
16) (v)
17) (iii)
18) (v)
19) (ii)
20) (v)
21) (iv)
22) (ii)
23) (iv)
24) (iv)
25) (v)
26) (iii)
27) (ii)
28) (i)
29) (iii)
30) (iv)
31) (ii)
32) (iii)
33) (ii)
34) (iv)