EduSahara™ Assignment
Name : Trigonometric Expression Evaluation
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
cot
30°
sec
30°
−
sin
60°
tan
60°
=
(i)
1
4
(ii)
(
−
1
2
)
(iii)
1
2
(iv)
3
2
(v)
1
Question
2
2.
cos
60°
tan
60°
tan
0°
+
cosec
90°
cos
30°
sin
90°
cos
90°
cot
30°
−
tan
45°
cot
45°
=
(i)
(
−
1
2
)
(ii)
(
−
1
2
√
3
)
(iii)
(
−
1
2
4
√
3
)
(iv)
(
−
3
2
)
(v)
(
−
1
2
√
5
)
Question
3
3.
sin
29°
cos
61°
=
(i)
-1
(ii)
0
(iii)
1
(iv)
tan
61°
(v)
tan
29°
Question
4
4.
cos
75°
sin
15°
=
(i)
1
(ii)
tan
15°
(iii)
tan
75°
(iv)
0
(v)
-1
Question
5
5.
tan
37°
cot
53°
=
(i)
tan
53°
(ii)
0
(iii)
tan
37°
(iv)
1
(v)
-1
Question
6
6.
cot
66°
tan
24°
=
(i)
-1
(ii)
tan
66°
(iii)
tan
24°
(iv)
0
(v)
1
Question
7
7.
sec
88°
cosec
2°
=
(i)
0
(ii)
-1
(iii)
tan
88°
(iv)
tan
2°
(v)
1
Question
8
8.
cosec
11°
sec
79°
=
(i)
0
(ii)
tan
11°
(iii)
tan
79°
(iv)
-1
(v)
1
Question
9
9.
sin
37°
cos
84°
cos
53°
sin
6°
=
(i)
1
(ii)
tan
84°
(iii)
0
(iv)
-1
(v)
tan
37°
Question
10
10.
cos
7°
sin
40°
sin
83°
cos
50°
=
(i)
tan
40°
(ii)
-1
(iii)
1
(iv)
0
(v)
tan
7°
Question
11
11.
tan
8°
cot
34°
cot
82°
tan
56°
=
(i)
1
(ii)
tan
34°
(iii)
-1
(iv)
0
(v)
tan
8°
Question
12
12.
cot
57°
tan
70°
tan
33°
cot
20°
=
(i)
-1
(ii)
0
(iii)
tan
70°
(iv)
tan
57°
(v)
1
Question
13
13.
sec
73°
cosec
19°
cosec
17°
sec
71°
=
(i)
tan
73°
(ii)
tan
19°
(iii)
-1
(iv)
0
(v)
1
Question
14
14.
cosec
79°
sec
15°
sec
11°
cosec
75°
=
(i)
1
(ii)
tan
15°
(iii)
-1
(iv)
0
(v)
tan
79°
Question
15
15.
sin
73°
−
cos
17°
=
(i)
2
sin
73°
(ii)
0
(iii)
-1
(iv)
2
sin
17°
(v)
1
Question
16
16.
cos
31°
−
sin
59°
=
(i)
0
(ii)
2
sin
31°
(iii)
1
(iv)
-1
(v)
2
sin
59°
Question
17
17.
tan
86°
−
cot
4°
=
(i)
-1
(ii)
0
(iii)
2
sin
86°
(iv)
2
sin
4°
(v)
1
Question
18
18.
cot
31°
−
tan
59°
=
(i)
2
sin
59°
(ii)
0
(iii)
-1
(iv)
1
(v)
2
sin
31°
Question
19
19.
sec
32°
−
cosec
58°
=
(i)
2
sin
58°
(ii)
0
(iii)
-1
(iv)
1
(v)
2
sin
32°
Question
20
20.
cosec
39°
−
sec
51°
=
(i)
1
(ii)
-1
(iii)
2
sin
51°
(iv)
0
(v)
2
sin
39°
Question
21
21.
sin
4°
cos
61°
−
cos
86°
sin
29°
=
(i)
-1
(ii)
2
sin
4°
(iii)
2
sin
61°
(iv)
0
(v)
1
Question
22
22.
cos
30°
sin
73°
−
sin
60°
cos
17°
=
(i)
2
sin
73°
(ii)
2
sin
30°
(iii)
1
(iv)
0
(v)
-1
Question
23
23.
tan
44°
cot
32°
−
cot
46°
tan
58°
=
(i)
2
sin
32°
(ii)
1
(iii)
0
(iv)
2
sin
44°
(v)
-1
Question
24
24.
cot
77°
tan
64°
−
tan
13°
cot
26°
=
(i)
0
(ii)
-1
(iii)
2
sin
64°
(iv)
2
sin
77°
(v)
1
Question
25
25.
sec
20°
cosec
51°
−
cosec
70°
sec
39°
=
(i)
1
(ii)
-1
(iii)
2
sin
20°
(iv)
0
(v)
2
sin
51°
Question
26
26.
cosec
47°
sec
2°
−
sec
43°
cosec
88°
=
(i)
1
(ii)
0
(iii)
2
sin
47°
(iv)
-1
(v)
2
sin
2°
Question
27
27.
sin
90°
cos
45°
+
cos
90°
sin
45°
=
(i)
1
2
√
4
(ii)
1
2
√
1
2
(iii)
1
2
√
2
(iv)
1
(v)
1
2
4
√
2
Question
28
28.
Find the value of
tan
75°
tan
20°
tan
15°
tan
70°
(i)
-1
(ii)
1
(iii)
2
(iv)
undefined
(v)
0
Question
29
29.
Find the value of
cot
40°
cot
75°
cot
50°
cot
15°
(i)
1
(ii)
0
(iii)
-1
(iv)
2
(v)
undefined
Question
30
30.
sin
2
75°
+
sin
2
15°
cos
2
10°
+
cos
2
80°
=
(i)
0
(ii)
1
(iii)
-1
(iv)
undefined
(v)
2
Question
31
31.
sin
75°
cos
15°
+
cos
75°
sin
15°
sin
10°
cos
80°
+
cos
10°
sin
80°
=
(i)
0
(ii)
-1
(iii)
1
(iv)
undefined
(v)
2
Question
32
32.
sin
43°
+
cos
63°
=
(i)
sin
43°
+
sin
63°
(ii)
cos
43°
+
sin
63°
(iii)
cos
47°
+
sin
27°
(iv)
cos
47°
+
cos
27°
Question
33
33.
cos
17°
+
sin
35°
=
(i)
sin
73°
+
sin
55°
(ii)
sin
17°
+
cos
35°
(iii)
cos
17°
+
cos
35°
(iv)
sin
73°
+
cos
55°
Question
34
34.
tan
70°
+
cot
16°
=
(i)
cot
20°
+
tan
74°
(ii)
tan
70°
+
tan
16°
(iii)
cot
70°
+
tan
16°
(iv)
cot
20°
+
cot
74°
Question
35
35.
cot
55°
+
tan
34°
=
(i)
tan
35°
+
tan
56°
(ii)
tan
55°
+
cot
34°
(iii)
tan
35°
+
cot
56°
(iv)
cot
55°
+
cot
34°
Question
36
36.
sec
14°
+
cosec
25°
=
(i)
cosec
76°
+
sec
65°
(ii)
sec
14°
+
sec
25°
(iii)
cosec
76°
+
cosec
65°
(iv)
cosec
14°
+
sec
25°
Question
37
37.
cosec
31°
+
sec
28°
=
(i)
sec
31°
+
cosec
28°
(ii)
cosec
31°
+
cosec
28°
(iii)
sec
59°
+
sec
62°
(iv)
sec
59°
+
cosec
62°
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (i)
5) (iv)
6) (v)
7) (v)
8) (v)
9) (i)
10) (iii)
11) (i)
12) (v)
13) (v)
14) (i)
15) (ii)
16) (i)
17) (ii)
18) (ii)
19) (ii)
20) (iv)
21) (iv)
22) (iv)
23) (iii)
24) (i)
25) (iv)
26) (ii)
27) (iii)
28) (ii)
29) (i)
30) (ii)
31) (iii)
32) (iii)
33) (iv)
34) (i)
35) (iii)
36) (i)
37) (iv)
