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
      x°
      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
      x°
      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
      x°
      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
      x°
      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
      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 °   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
      x°
      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
      x°
      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
      x°
      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
      x°
      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
      x°
      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
      x°
      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
      x°
      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)