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
      33 °   47 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      33
      0.5446
      0.5461
      0.5476
      0.5490
      0.5505
      0.5519
      0.5534
      0.5548
      0.5563
      0.5577
      2
      5
      7
      10
      12
  • (i)
    0.5556
  • (ii)
    0.556
  • (iii)
    0.5563
  • (iv)
    0.5564
  • (v)
    0.5557
Question 2
2.
    • Find the value of
    •  
    • cos
      40 °   23 '  
    • 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)
    0.7621
  • (ii)
    0.7614
  • (iii)
    0.7622
  • (iv)
    0.7615
  • (v)
    0.7618
Question 3
3.
    • Find the value of
    •  
    • tan
      61 °   10 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      61
      1.8040
      1.8115
      1.8190
      1.8265
      1.8341
      1.8418
      1.8495
      1.8572
      1.8650
      1.8728
      13
      26
      38
      51
      64
  • (i)
    1.8163
  • (ii)
    1.8169
  • (iii)
    1.8166
  • (iv)
    1.817
  • (v)
    1.8162
Question 4
4.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.3156
    • 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)
    18 °   24 '  
  • (ii)
    18 °   14 '  
  • (iii)
    18 °   29 '  
  • (iv)
    18 °   19 '  
  • (v)
    18 °   34 '  
Question 5
5.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.9099
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      24
      0.9135
      0.9128
      0.9121
      0.9114
      0.9107
      0.9100
      0.9092
      0.9085
      0.9078
      0.9070
      1
      2
      4
      5
      6
  • (i)
    24 °   26 '  
  • (ii)
    24 °   21 '  
  • (iii)
    24 °   36 '  
  • (iv)
    24 °   41 '  
  • (v)
    24 °   31 '  
Question 6
6.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.2749
    • 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 °   27 '  
  • (ii)
    15 °   32 '  
  • (iii)
    15 °   22 '  
  • (iv)
    15 °   12 '  
  • (v)
    15 °   17 '  
Question 7
7.
    • Find the value of
    •  
    • sin
      39 °   31 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      39
      0.6293
      0.6307
      0.6320
      0.6334
      0.6347
      0.6361
      0.6374
      0.6388
      0.6401
      0.6414
      2
      5
      7
      9
      12
  • (i)
    0.6363
  • (ii)
    0.636
  • (iii)
    0.6366
  • (iv)
    0.6367
  • (v)
    0.6359
Question 8
8.
    • Find the value of
    •  
    • cos
      51 °   34 '  
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      51
      0.6293
      0.6280
      0.6266
      0.6252
      0.6239
      0.6225
      0.6211
      0.6198
      0.6184
      0.9170
      2
      5
      7
      9
      12
  • (i)
    0.6219
  • (ii)
    0.6212
  • (iii)
    0.6213
  • (iv)
    0.6216
  • (v)
    0.622
Question 9
9.
    • Find the value of
    •  
    • tan
      64 °   16 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      64
      2.0503
      2.0594
      2.0686
      2.0778
      2.0872
      2.0965
      2.1060
      2.1155
      2.1251
      2.1348
      16
      31
      47
      63
      78
  • (i)
    2.0752
  • (ii)
    2.0753
  • (iii)
    2.0746
  • (iv)
    2.0749
  • (v)
    2.0745
Question 10
10.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.9324
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      68
      0.9272
      0.9278
      0.9285
      0.9291
      0.9298
      0.9304
      0.9311
      0.9317
      0.9323
      0.9330
      1
      2
      3
      4
      5
  • (i)
    68 °   59 '  
  • (ii)
    68 °   49 '  
  • (iii)
    68 °   54 '  
  • (iv)
    68 °   39 '  
  • (v)
    68 °   44 '  
Question 11
11.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.7701
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      39
      0.7771
      0.7760
      0.7749
      0.7738
      0.7727
      0.7216
      0.7705
      0.7694
      0.7683
      0.7672
      2
      4
      6
      7
      9
  • (i)
    39 °   28 '  
  • (ii)
    39 °   48 '  
  • (iii)
    39 °   43 '  
  • (iv)
    39 °   33 '  
  • (v)
    39 °   38 '  
Question 12
12.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.9099
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      42
      0.9004
      0.9036
      0.9067
      0.9099
      0.9131
      0.9163
      0.9195
      0.9228
      0.9260
      0.9293
      5
      11
      16
      21
      27
  • (i)
    42 °   8 '  
  • (ii)
    42 °   13 '  
  • (iii)
    42 °   18 '  
  • (iv)
    42 °   28 '  
  • (v)
    42 °   23 '  
    Assignment Key
  •  1) (ii)
  •  2) (v)
  •  3) (iii)
  •  4) (i)
  •  5) (v)
  •  6) (iii)
  •  7) (i)
  •  8) (iv)
  •  9) (iv)
  •  10) (ii)
  •  11) (v)
  •  12) (iii)