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
      19 °   45 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      19
      0.3256
      0.3272
      0.3289
      0.3305
      0.3322
      0.3338
      0.3355
      0.3371
      0.3387
      0.3404
      3
      5
      8
      11
      13
  • (i)
    0.3379
  • (ii)
    0.3375
  • (iii)
    0.3382
  • (iv)
    0.3383
  • (v)
    0.3376
Question 2
2.
    • Find the value of
    •  
    • cos
      62 °   21 '  
    • 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)
    0.4637
  • (ii)
    0.4643
  • (iii)
    0.4644
  • (iv)
    0.464
  • (v)
    0.4636
Question 3
3.
    • Find the value of
    •  
    • tan
      49 °   17 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      49
      1.1504
      1.1544
      1.1585
      1.1626
      1.1667
      1.1708
      1.1750
      1.1792
      1.1833
      1.1875
      7
      14
      21
      27
      34
  • (i)
    1.1623
  • (ii)
    1.1616
  • (iii)
    1.1615
  • (iv)
    1.1622
  • (v)
    1.1619
Question 4
4.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.5662
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      34
      0.5592
      0.5606
      0.5621
      0.5635
      0.5650
      0.5664
      0.5678
      0.5693
      0.5707
      0.5721
      2
      5
      7
      9
      12
  • (i)
    34 °   34 '  
  • (ii)
    34 °   29 '  
  • (iii)
    34 °   19 '  
  • (iv)
    34 °   39 '  
  • (v)
    34 °   24 '  
Question 5
5.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.9734
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      13
      0.9744
      0.9740
      0.9736
      0.9732
      0.9728
      0.9724
      0.9720
      0.9715
      0.9711
      0.9707
      1
      1
      2
      3
      3
  • (i)
    13 °   5 '  
  • (ii)
    13 °   20 '  
  • (iii)
    13 °   10 '  
  • (iv)
    13 °   15 '  
  • (v)
    13 °   25 '  
Question 6
6.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.6383
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      32
      0.6249
      0.6273
      0.6297
      0.6322
      0.6346
      0.6371
      0.6395
      0.6420
      0.6445
      0.6469
      4
      8
      12
      17
      21
  • (i)
    32 °   28 '  
  • (ii)
    32 °   43 '  
  • (iii)
    32 °   23 '  
  • (iv)
    32 °   38 '  
  • (v)
    32 °   33 '  
Question 7
7.
    • Find the value of
    •  
    • sin
      54 °   15 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      54
      0.8090
      0.8100
      0.8111
      0.8121
      0.8131
      0.8141
      0.8151
      0.8161
      0.8171
      0.8181
      2
      3
      5
      7
      8
  • (i)
    0.8113
  • (ii)
    0.8116
  • (iii)
    0.812
  • (iv)
    0.8119
  • (v)
    0.8112
Question 8
8.
    • Find the value of
    •  
    • cos
      50 °   46 '  
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      50
      0.6428
      0.6414
      0.6401
      0.6388
      0.6374
      0.6361
      0.6347
      0.6334
      0.6320
      0.6307
      2
      5
      7
      9
      12
  • (i)
    0.6328
  • (ii)
    0.6325
  • (iii)
    0.6321
  • (iv)
    0.6329
  • (v)
    0.6322
Question 9
9.
    • Find the value of
    •  
    • tan
      58 °   16 '  
    • 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)
    1.6175
  • (ii)
    1.6174
  • (iii)
    1.6167
  • (iv)
    1.6171
  • (v)
    1.6168
Question 10
10.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.78
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      51
      0.7771
      0.7782
      0.7793
      0.7804
      0.7815
      0.7826
      0.7837
      0.7848
      0.7859
      0.7869
      2
      4
      5
      7
      9
  • (i)
    51 °   21 '  
  • (ii)
    51 °   6 '  
  • (iii)
    51 °   26 '  
  • (iv)
    51 °   11 '  
  • (v)
    51 °   16 '  
Question 11
11.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.9836
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      10
      0.9848
      0.9845
      0.9842
      0.9839
      0.9836
      0.9833
      0.9829
      0.9826
      0.9823
      0.9820
      1
      1
      2
      2
      3
  • (i)
    10 °   33 '  
  • (ii)
    10 °   13 '  
  • (iii)
    10 °   23 '  
  • (iv)
    10 °   18 '  
  • (v)
    10 °   28 '  
Question 12
12.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 1.4704
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      55
      1.4281
      1.4335
      1.4388
      1.4442
      1.4496
      1.4550
      1.4605
      1.4659
      1.4715
      1.4770
      9
      18
      27
      36
      45
  • (i)
    55 °   42 '  
  • (ii)
    55 °   37 '  
  • (iii)
    55 °   52 '  
  • (iv)
    55 °   47 '  
  • (v)
    55 °   57 '  
    Assignment Key
  •  1) (i)
  •  2) (iv)
  •  3) (v)
  •  4) (ii)
  •  5) (iv)
  •  6) (v)
  •  7) (ii)
  •  8) (ii)
  •  9) (iv)
  •  10) (v)
  •  11) (iii)
  •  12) (iv)