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 °   10 '  
    • 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)
    0.2281
  • (ii)
    0.2278
  • (iii)
    0.2275
  • (iv)
    0.2282
  • (v)
    0.2274
Question 2
2.
    • Find the value of
    •  
    • cos
      29 °   18 '  
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      29
      0.8746
      0.8738
      0.8729
      0.8721
      0.8712
      0.8704
      0.8695
      0.8686
      0.8678
      0.8669
      1
      3
      4
      6
      7
  • (i)
    0.8724
  • (ii)
    0.8718
  • (iii)
    0.8725
  • (iv)
    0.8721
  • (v)
    0.8717
Question 3
3.
    • Find the value of
    •  
    • tan
      34 °   18 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      34
      0.6745
      0.6771
      0.6796
      0.6822
      0.6847
      0.6873
      0.6899
      0.6924
      0.6930
      0.6976
      4
      9
      13
      17
      22
  • (i)
    0.6819
  • (ii)
    0.6818
  • (iii)
    0.6822
  • (iv)
    0.6825
  • (v)
    0.6826
Question 4
4.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.9252
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      67
      0.9205
      0.9212
      0.9219
      0.9225
      0.9232
      0.9239
      0.9245
      0.9252
      0.9259
      0.9265
      1
      2
      3
      5
      6
  • (i)
    67 °   32 '  
  • (ii)
    67 °   37 '  
  • (iii)
    67 °   47 '  
  • (iv)
    67 °   42 '  
  • (v)
    67 °   52 '  
Question 5
5.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.4568
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      62
      0.4695
      0.4679
      0.4664
      0.4648
      0.4633
      0.4617
      0.4602
      0.4586
      0.4571
      0.4555
      3
      5
      8
      11
      13
  • (i)
    62 °   39 '  
  • (ii)
    62 °   44 '  
  • (iii)
    62 °   49 '  
  • (iv)
    62 °   59 '  
  • (v)
    62 °   54 '  
Question 6
6.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.4791
    • 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)
    25 °   31 '  
  • (ii)
    25 °   26 '  
  • (iii)
    25 °   41 '  
  • (iv)
    25 °   46 '  
  • (v)
    25 °   36 '  
Question 7
7.
    • Find the value of
    •  
    • sin
      43 °   36 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      43
      0.6820
      0.6833
      0.6845
      0.6858
      0.6871
      0.6884
      0.6896
      0.6909
      0.6921
      0.6934
      2
      4
      6
      9
      11
  • (i)
    0.6899
  • (ii)
    0.6896
  • (iii)
    0.6892
  • (iv)
    0.6893
  • (v)
    0.69
Question 8
8.
    • Find the value of
    •  
    • cos
      18 °   14 '  
    • 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)
    0.9498
  • (ii)
    0.9495
  • (iii)
    0.9494
  • (iv)
    0.9501
  • (v)
    0.9502
Question 9
9.
    • Find the value of
    •  
    • tan
      36 °   43 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      36
      0.7265
      0.7292
      0.7319
      0.7346
      0.7373
      0.7400
      0.7427
      0.7454
      0.7481
      0.7508
      5
      9
      14
      18
      23
  • (i)
    0.7462
  • (ii)
    0.7455
  • (iii)
    0.7456
  • (iv)
    0.7463
  • (v)
    0.7459
Question 10
10.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.3018
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      17
      0.2924
      0.2940
      0.2957
      0.2974
      0.2990
      0.3007
      0.3024
      0.3040
      0.3057
      0.3074
      3
      6
      8
      11
      14
  • (i)
    17 °   24 '  
  • (ii)
    17 °   29 '  
  • (iii)
    17 °   44 '  
  • (iv)
    17 °   34 '  
  • (v)
    17 °   39 '  
Question 11
11.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.462
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      62
      0.4695
      0.4679
      0.4664
      0.4648
      0.4633
      0.4617
      0.4602
      0.4586
      0.4571
      0.4555
      3
      5
      8
      11
      13
  • (i)
    62 °   19 '  
  • (ii)
    62 °   39 '  
  • (iii)
    62 °   34 '  
  • (iv)
    62 °   24 '  
  • (v)
    62 °   29 '  
Question 12
12.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 1.65
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      58
      1.6003
      1.6066
      1.6128
      1.6191
      1.6255
      1.6319
      1.6383
      1.6447
      1.6512
      1.6577
      11
      21
      32
      43
      53
  • (i)
    58 °   37 '  
  • (ii)
    58 °   47 '  
  • (iii)
    58 °   52 '  
  • (iv)
    58 °   57 '  
  • (v)
    58 °   42 '  
    Assignment Key
  •  1) (ii)
  •  2) (iv)
  •  3) (iii)
  •  4) (iv)
  •  5) (iii)
  •  6) (v)
  •  7) (ii)
  •  8) (i)
  •  9) (v)
  •  10) (iv)
  •  11) (v)
  •  12) (ii)