EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Ratios
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
sin
0°
cosec
90°
cos
90°
−
sec
30°
sin
30°
sin
60°
=
(i)
(
−
1
2
)
(ii)
(
−
1
4
)
(iii)
(
−
1
)
(iv)
(
−
3
2
)
(v)
1
2
Question
2
2.
cot
60°
sec
60°
−
cot
90°
tan
0°
cosec
60°
cot
45°
−
sin
60°
cot
60°
=
(i)
(
16
13
+
4
13
√
3
)
(ii)
(
14
13
+
4
13
√
3
)
(iii)
(
16
13
+
4
13
4
√
3
)
(iv)
(
16
13
+
12
13
)
(v)
(
18
13
+
4
13
√
3
)
Question
3
3.
sin
48°
cos
42°
=
(i)
0
(ii)
tan
42°
(iii)
1
(iv)
-1
(v)
tan
48°
Question
4
4.
cos
25°
sin
65°
=
(i)
0
(ii)
tan
65°
(iii)
tan
25°
(iv)
-1
(v)
1
Question
5
5.
tan
55°
cot
35°
=
(i)
0
(ii)
1
(iii)
tan
35°
(iv)
-1
(v)
tan
55°
Question
6
6.
cot
27°
tan
63°
=
(i)
-1
(ii)
1
(iii)
tan
27°
(iv)
tan
63°
(v)
0
Question
7
7.
sec
22°
cosec
68°
=
(i)
tan
22°
(ii)
0
(iii)
1
(iv)
-1
(v)
tan
68°
Question
8
8.
cosec
40°
sec
50°
=
(i)
tan
50°
(ii)
0
(iii)
-1
(iv)
1
(v)
tan
40°
Question
9
9.
sin
10°
cos
8°
cos
80°
sin
82°
=
(i)
1
(ii)
tan
8°
(iii)
0
(iv)
-1
(v)
tan
10°
Question
10
10.
cos
57°
sin
4°
sin
33°
cos
86°
=
(i)
tan
57°
(ii)
0
(iii)
tan
4°
(iv)
1
(v)
-1
Question
11
11.
tan
65°
cot
46°
cot
25°
tan
44°
=
(i)
tan
65°
(ii)
-1
(iii)
1
(iv)
0
(v)
tan
46°
Question
12
12.
cot
84°
tan
76°
tan
6°
cot
14°
=
(i)
-1
(ii)
tan
84°
(iii)
1
(iv)
0
(v)
tan
76°
Question
13
13.
sec
54°
cosec
32°
cosec
36°
sec
58°
=
(i)
0
(ii)
1
(iii)
tan
54°
(iv)
-1
(v)
tan
32°
Question
14
14.
cosec
11°
sec
83°
sec
79°
cosec
7°
=
(i)
-1
(ii)
0
(iii)
tan
83°
(iv)
tan
11°
(v)
1
Question
15
15.
sin
66°
−
cos
24°
=
(i)
2
sin
24°
(ii)
1
(iii)
2
sin
66°
(iv)
-1
(v)
0
Question
16
16.
cos
42°
−
sin
48°
=
(i)
-1
(ii)
2
sin
48°
(iii)
2
sin
42°
(iv)
0
(v)
1
Question
17
17.
tan
43°
−
cot
47°
=
(i)
1
(ii)
2
sin
43°
(iii)
0
(iv)
2
sin
47°
(v)
-1
Question
18
18.
cot
47°
−
tan
43°
=
(i)
1
(ii)
0
(iii)
-1
(iv)
2
sin
47°
(v)
2
sin
43°
Question
19
19.
sec
12°
−
cosec
78°
=
(i)
2
sin
12°
(ii)
1
(iii)
0
(iv)
2
sin
78°
(v)
-1
Question
20
20.
cosec
15°
−
sec
75°
=
(i)
0
(ii)
2
sin
15°
(iii)
2
sin
75°
(iv)
-1
(v)
1
Question
21
21.
sin
44°
cos
22°
−
cos
46°
sin
68°
=
(i)
2
sin
22°
(ii)
-1
(iii)
2
sin
44°
(iv)
0
(v)
1
Question
22
22.
cos
52°
sin
84°
−
sin
38°
cos
6°
=
(i)
2
sin
52°
(ii)
-1
(iii)
1
(iv)
2
sin
84°
(v)
0
Question
23
23.
tan
84°
cot
88°
−
cot
6°
tan
2°
=
(i)
0
(ii)
2
sin
84°
(iii)
-1
(iv)
1
(v)
2
sin
88°
Question
24
24.
cot
7°
tan
26°
−
tan
83°
cot
64°
=
(i)
-1
(ii)
2
sin
7°
(iii)
0
(iv)
1
(v)
2
sin
26°
Question
25
25.
sec
21°
cosec
21°
−
cosec
69°
sec
69°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
2
sin
21°
Question
26
26.
cosec
2°
sec
38°
−
sec
88°
cosec
52°
=
(i)
1
(ii)
-1
(iii)
0
(iv)
2
sin
2°
(v)
2
sin
38°
Question
27
27.
Find the value of
tan
20°
tan
65°
tan
70°
tan
25°
(i)
2
(ii)
0
(iii)
undefined
(iv)
1
(v)
-1
Question
28
28.
Find the value of
cot
40°
cot
30°
cot
50°
cot
60°
(i)
1
(ii)
-1
(iii)
0
(iv)
2
(v)
undefined
Question
29
29.
sin
13°
+
cos
48°
=
(i)
cos
13°
+
sin
48°
(ii)
sin
13°
+
sin
48°
(iii)
cos
77°
+
cos
42°
(iv)
cos
77°
+
sin
42°
Question
30
30.
cos
65°
+
sin
50°
=
(i)
sin
25°
+
sin
40°
(ii)
sin
65°
+
cos
50°
(iii)
sin
25°
+
cos
40°
(iv)
cos
65°
+
cos
50°
Question
31
31.
tan
11°
+
cot
26°
=
(i)
cot
79°
+
cot
64°
(ii)
cot
79°
+
tan
64°
(iii)
tan
11°
+
tan
26°
(iv)
cot
11°
+
tan
26°
Question
32
32.
cot
40°
+
tan
35°
=
(i)
tan
50°
+
tan
55°
(ii)
cot
40°
+
cot
35°
(iii)
tan
40°
+
cot
35°
(iv)
tan
50°
+
cot
55°
Question
33
33.
sec
61°
+
cosec
47°
=
(i)
cosec
61°
+
sec
47°
(ii)
cosec
29°
+
sec
43°
(iii)
cosec
29°
+
cosec
43°
(iv)
sec
61°
+
sec
47°
Question
34
34.
cosec
74°
+
sec
10°
=
(i)
sec
16°
+
cosec
80°
(ii)
sec
74°
+
cosec
10°
(iii)
cosec
74°
+
cosec
10°
(iv)
sec
16°
+
sec
80°
Assignment Key
1) (i)
2) (i)
3) (iii)
4) (v)
5) (ii)
6) (ii)
7) (iii)
8) (iv)
9) (i)
10) (iv)
11) (iii)
12) (iii)
13) (ii)
14) (v)
15) (v)
16) (iv)
17) (iii)
18) (ii)
19) (iii)
20) (i)
21) (iv)
22) (v)
23) (i)
24) (iii)
25) (i)
26) (iii)
27) (iv)
28) (i)
29) (iv)
30) (iii)
31) (ii)
32) (iv)
33) (ii)
34) (i)
