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
      13 °   31 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      13
      0.2250
      0.2267
      0.2284
      0.2300
      0.2317
      0.2334
      0.2351
      0.2368
      0.2385
      0.2402
      3
      6
      8
      11
      14
  • (i)
    0.2333
  • (ii)
    0.2341
  • (iii)
    0.2334
  • (iv)
    0.234
  • (v)
    0.2337
Question 2
2.
    • Find the value of
    •  
    • cos
      18 °   46 '  
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      18
      0.9511
      0.9505
      0.9500
      0.9494
      0.9489
      0.9483
      0.9478
      0.9472
      0.9466
      0.9461
      1
      2
      3
      4
      5
  • (i)
    0.9465
  • (ii)
    0.9468
  • (iii)
    0.9472
  • (iv)
    0.9464
  • (v)
    0.9471
Question 3
3.
    • Find the value of
    •  
    • tan
      25 °   47 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      25
      0.4663
      0.4684
      0.4706
      0.4727
      0.4748
      0.4770
      0.4791
      0.4813
      0.4834
      0.4856
      4
      7
      11
      14
      18
  • (i)
    0.4835
  • (ii)
    0.4834
  • (iii)
    0.4827
  • (iv)
    0.4828
  • (v)
    0.4831
Question 4
4.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.4648
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      27
      0.4540
      0.4555
      0.4571
      0.4586
      0.4602
      0.4617
      0.4633
      0.4648
      0.4664
      0.4679
      3
      5
      8
      11
      13
  • (i)
    27 °   32 '  
  • (ii)
    27 °   42 '  
  • (iii)
    27 °   47 '  
  • (iv)
    27 °   37 '  
  • (v)
    27 °   52 '  
Question 5
5.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.7618
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      40
      0.7660
      0.7649
      0.7638
      0.7627
      0.7615
      0.7604
      0.7593
      0.7581
      0.7570
      0.7559
      2
      4
      6
      7
      9
  • (i)
    40 °   13 '  
  • (ii)
    40 °   23 '  
  • (iii)
    40 °   28 '  
  • (iv)
    40 °   33 '  
  • (v)
    40 °   18 '  
Question 6
6.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.5176
    • 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)
    27 °   22 '  
  • (ii)
    27 °   17 '  
  • (iii)
    27 °   27 '  
  • (iv)
    27 °   32 '  
  • (v)
    27 °   12 '  
Question 7
7.
    • Find the value of
    •  
    • sin
      59 °   42 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      59
      0.8572
      0.8581
      0.8590
      0.8599
      0.8607
      0.8616
      0.8625
      0.8634
      0.8643
      0.8657
      1
      3
      4
      6
      7
  • (i)
    0.863
  • (ii)
    0.8637
  • (iii)
    0.8638
  • (iv)
    0.8631
  • (v)
    0.8634
Question 8
8.
    • Find the value of
    •  
    • cos
      53 °   38 '  
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      53
      0.6018
      0.6004
      0.5990
      0.5976
      0.5962
      0.5948
      0.5934
      0.5920
      0.5906
      0.5892
      2
      5
      7
      9
      12
  • (i)
    0.5925
  • (ii)
    0.5929
  • (iii)
    0.5926
  • (iv)
    0.5932
  • (v)
    0.5933
Question 9
9.
    • Find the value of
    •  
    • tan
      63 °   32 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      63
      1.9626
      1.9711
      1.9797
      1.9883
      1.9970
      2.0057
      2.0145
      2.0233
      2.0323
      2.0413
      15
      29
      44
      58
      73
  • (i)
    2.0086
  • (ii)
    2.0083
  • (iii)
    2.0082
  • (iv)
    2.009
  • (v)
    2.0089
Question 10
10.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.8676
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      60
      0.8660
      0.8669
      0.8678
      0.8686
      0.8695
      0.8704
      0.8712
      0.8721
      0.8729
      0.8738
      1
      3
      4
      6
      7
  • (i)
    60 °   16 '  
  • (ii)
    60 °   21 '  
  • (iii)
    60 °   1 '  
  • (iv)
    60 °   11 '  
  • (v)
    60 °   6 '  
Question 11
11.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.6907
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      46
      0.6947
      0.6934
      0.6921
      0.6909
      0.6896
      0.6884
      0.6871
      0.6858
      0.6845
      0.6833
      2
      4
      6
      9
      11
  • (i)
    46 °   9 '  
  • (ii)
    46 °   24 '  
  • (iii)
    46 °   29 '  
  • (iv)
    46 °   14 '  
  • (v)
    46 °   19 '  
Question 12
12.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 2.5386
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      68
      2.4751
      2.4876
      2.5002
      2.5129
      2.5257
      2.5386
      2.5517
      2.5679
      2.5782
      2.5916
      22
      43
      65
      87
      108
  • (i)
    68 °   35 '  
  • (ii)
    68 °   40 '  
  • (iii)
    68 °   30 '  
  • (iv)
    68 °   20 '  
  • (v)
    68 °   25 '  
    Assignment Key
  •  1) (v)
  •  2) (ii)
  •  3) (v)
  •  4) (ii)
  •  5) (ii)
  •  6) (i)
  •  7) (v)
  •  8) (ii)
  •  9) (i)
  •  10) (iv)
  •  11) (v)
  •  12) (iii)