EduSahara™ Assignment
Name : Trigonometric Ratios using Trigonometric Tables
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the value of
sin
22
°
14
'
From Table of Natural Sines
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
22
0.3746
0.3762
0.3778
0.2795
0.3811
0.3827
0.3843
0.3859
0.3875
0.3891
3
5
8
11
13
(i)
0.3786
(ii)
0.3783
(iii)
0.3787
(iv)
0.3779
(v)
0.378
Question
2
2.
Find the value of
cos
69
°
44
'
From Table of Natural Cosines
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
69
0.3584
0.3567
0.3551
0.3535
0.3518
0.3502
0.3486
0.3469
0.3453
0.3437
3
5
8
11
13
(i)
0.3468
(ii)
0.3461
(iii)
0.346
(iv)
0.3464
(v)
0.3467
Question
3
3.
Find the value of
tan
20
°
40
'
From Table of Natural Tangents
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
20
0.3640
0.3659
0.3679
0.3699
0.3719
0.3739
0.3759
0.3779
0.3799
0.3819
3
7
10
13
17
(i)
0.3769
(ii)
0.3775
(iii)
0.3772
(iv)
0.3768
(v)
0.3776
Question
4
4.
Find angle
θ
such that
sin
θ
=
0.2863
From Table of Natural Sines
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
16
0.2756
0.2773
0.2790
0.2807
0.2823
0.2840
0.2857
0.2874
0.2890
0.2907
3
6
8
11
14
(i)
16
°
38
'
(ii)
16
°
33
'
(iii)
16
°
48
'
(iv)
16
°
28
'
(v)
16
°
43
'
Question
5
5.
Find angle
θ
such that
cos
θ
=
0.9227
From Table of Natural Cosines
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
22
0.9272
0.9263
0.9259
0.9252
0.9245
0.9239
0.9232
0.9225
0.9219
0.9212
1
2
3
5
6
(i)
22
°
45
'
(ii)
22
°
35
'
(iii)
22
°
50
'
(iv)
22
°
30
'
(v)
22
°
40
'
Question
6
6.
Find angle
θ
such that
tan
θ
=
0.5593
From Table of Natural Tangents
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
29
0.5543
0.5566
0.5589
0.5612
0.5635
0.5658
0.5681
0.5704
0.5727
0.5750
4
8
12
15
19
(i)
29
°
23
'
(ii)
29
°
8
'
(iii)
29
°
13
'
(iv)
29
°
18
'
(v)
29
°
3
'
Question
7
7.
Find the value of
sin
46
°
28
'
From Table of Natural Sines
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
46
0.7193
0.7206
0.7218
0.7230
0.7242
0.7254
0.7266
0.7278
0.7290
0.7302
2
4
6
8
10
(i)
0.7247
(ii)
0.7253
(iii)
0.7254
(iv)
0.7246
(v)
0.725
Question
8
8.
Find the value of
cos
56
°
40
'
From Table of Natural Cosines
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
56
0.5592
0.5577
0.5563
0.5548
0.5534
0.5519
0.5505
0.5490
0.5476
0.5461
2
5
7
10
12
(i)
0.5499
(ii)
0.5498
(iii)
0.5491
(iv)
0.5495
(v)
0.5492
Question
9
9.
Find the value of
tan
27
°
13
'
From Table of Natural Tangents
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
27
0.5095
0.5117
0.5139
0.5161
0.5184
0.5206
0.5228
0.5250
0.5272
0.5295
4
7
11
15
18
(i)
0.5146
(ii)
0.514
(iii)
0.5147
(iv)
0.5143
(v)
0.5139
Question
10
10.
Find angle
θ
such that
sin
θ
=
0.8052
From Table of Natural Sines
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
53
0.7986
0.7997
0.8007
0.8018
0.8028
0.8039
0.8049
0.8059
0.8070
0.8080
2
3
5
7
8
(i)
53
°
33
'
(ii)
53
°
48
'
(iii)
53
°
43
'
(iv)
53
°
38
'
(v)
53
°
28
'
Question
11
11.
Find angle
θ
such that
cos
θ
=
0.8447
From Table of Natural Cosines
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
32
0.8480
0.8471
0.8462
0.8453
0.8443
0.8434
0.8425
0.8415
0.8406
0.8393
2
3
5
6
8
(i)
32
°
32
'
(ii)
32
°
17
'
(iii)
32
°
27
'
(iv)
32
°
12
'
(v)
32
°
22
'
Question
12
12.
Find angle
θ
such that
tan
θ
=
0.2968
From Table of Natural Tangents
x°
0'
6'
12'
18'
24'
30'
36'
42'
48'
54'
1'
2'
3'
4'
5'
16
0.2867
0.2886
0.2905
0.2924
0.2943
0.2962
0.2981
0.3000
0.3019
0.3038
3
6
9
13
16
(i)
16
°
22
'
(ii)
16
°
32
'
(iii)
16
°
42
'
(iv)
16
°
37
'
(v)
16
°
27
'
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (i)
5) (v)
6) (iii)
7) (v)
8) (iv)
9) (iv)
10) (iv)
11) (v)
12) (ii)