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
      18 °   48 '  
    • From Table of Natural Sines
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      18
      0.3090
      0.3107
      0.3123
      0.3140
      0.3156
      0.3173
      0.3190
      0.3206
      0.3223
      0.3239
      3
      6
      8
      11
      14
  • (i)
    0.3223
  • (ii)
    0.3227
  • (iii)
    0.3219
  • (iv)
    0.322
  • (v)
    0.3226
Question 2
2.
    • Find the value of
    •  
    • cos
      25 °   40 '  
    • From Table of Natural Cosines
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      25
      0.9063
      0.9056
      0.9048
      0.9041
      0.9033
      0.9026
      0.9018
      0.9011
      0.9003
      0.8996
      1
      3
      4
      5
      7
  • (i)
    0.9013
  • (ii)
    0.9017
  • (iii)
    0.901
  • (iv)
    0.9016
  • (v)
    0.9009
Question 3
3.
    • Find the value of
    •  
    • tan
      18 °   24 '  
    • From Table of Natural Tangents
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      18
      0.3249
      0.3269
      0.3288
      0.3307
      0.3327
      0.3346
      0.3365
      0.3385
      0.3404
      0.3424
      3
      6
      10
      13
      16
  • (i)
    0.3323
  • (ii)
    0.333
  • (iii)
    0.3331
  • (iv)
    0.3324
  • (v)
    0.3327
Question 4
4.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.3678
    • From Table of Natural Sines
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      21
      0.3584
      0.3600
      0.3616
      0.3633
      0.3649
      0.3665
      0.3681
      0.3697
      0.3714
      0.3730
      3
      5
      8
      11
      13
  • (i)
    21 °   45 '  
  • (ii)
    21 °   30 '  
  • (iii)
    21 °   35 '  
  • (iv)
    21 °   40 '  
  • (v)
    21 °   25 '  
Question 5
5.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.7634
    • From Table of Natural Cosines
      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 °   9 '  
  • (ii)
    40 °   19 '  
  • (iii)
    40 °   14 '  
  • (iv)
    40 °   24 '  
  • (v)
    40 °   4 '  
Question 6
6.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.2555
    • From Table of Natural Tangents
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      14
      0.2493
      0.2512
      0.2530
      0.2549
      0.2568
      0.2586
      0.2605
      0.2623
      0.2642
      0.2661
      3
      6
      9
      13
      16
  • (i)
    14 °   25 '  
  • (ii)
    14 °   20 '  
  • (iii)
    14 °   30 '  
  • (iv)
    14 °   10 '  
  • (v)
    14 °   15 '  
Question 7
7.
    • Find the value of
    •  
    • sin
      44 °   11 '  
    • From Table of Natural Sines
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      44
      0.6947
      0.6959
      0.6972
      0.6984
      0.6997
      0.7009
      0.7022
      0.7034
      0.7046
      0.7059
      2
      4
      6
      8
      10
  • (i)
    0.6973
  • (ii)
    0.6966
  • (iii)
    0.6972
  • (iv)
    0.6969
  • (v)
    0.6965
Question 8
8.
    • Find the value of
    •  
    • cos
      44 °   47 '  
    • From Table of Natural Cosines
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      44
      0.7193
      0.7181
      0.7169
      0.7157
      0.7145
      0.7133
      0.7120
      0.7108
      0.7096
      0.7083
      2
      4
      6
      8
      10
  • (i)
    0.7101
  • (ii)
    0.7098
  • (iii)
    0.7094
  • (iv)
    0.7102
  • (v)
    0.7095
Question 9
9.
    • Find the value of
    •  
    • tan
      45 °   38 '  
    • From Table of Natural Tangents
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      45
      1.0000
      1.0035
      1.0070
      1.0105
      1.0141
      1.0176
      1.0212
      1.0247
      1.0283
      1.0319
      6
      12
      18
      24
      30
  • (i)
    1.0227
  • (ii)
    1.022
  • (iii)
    1.0221
  • (iv)
    1.0228
  • (v)
    1.0224
Question 10
10.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.9075
    • From Table of Natural Sines
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      65
      0.9063
      0.9070
      0.9078
      0.9085
      0.9092
      0.9100
      0.9107
      0.9114
      0.9121
      0.9128
      1
      2
      4
      5
      6
  • (i)
    65 °   5 '  
  • (ii)
    65 °   10 '  
  • (iii)
    65 °  
  • (iv)
    65 °   15 '  
  • (v)
    65 °   20 '  
Question 11
11.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.335
    • From Table of Natural Cosines
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      70
      0.3420
      0.3404
      0.3387
      0.3371
      0.3355
      0.3338
      0.3322
      0.3305
      0.3289
      0.3272
      3
      5
      8
      11
      13
  • (i)
    70 °   36 '  
  • (ii)
    70 °   31 '  
  • (iii)
    70 °   21 '  
  • (iv)
    70 °   26 '  
  • (v)
    70 °   16 '  
Question 12
12.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.2833
    • From Table of Natural Tangents
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      15
      0.2679
      0.2698
      0.2717
      0.2736
      0.2754
      0.2773
      0.2792
      0.2811
      0.2830
      0.2849
      3
      6
      9
      13
      16
  • (i)
    15 °   49 '  
  • (ii)
    15 °   59 '  
  • (iii)
    15 °   54 '  
  • (iv)
    15 °   44 '  
  • (v)
    15 °   39 '  
    Assignment Key

  •  1) (i)
  •  2) (i)
  •  3) (v)
  •  4) (iii)
  •  5) (iii)
  •  6) (ii)
  •  7) (iv)
  •  8) (ii)
  •  9) (v)
  •  10) (ii)
  •  11) (iv)
  •  12) (i)