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)