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
      55 °   27 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      55
      0.8192
      0.8202
      0.8211
      0.8221
      0.8231
      0.8241
      0.8251
      0.8261
      0.8271
      0.8281
      2
      3
      5
      7
      8
  • (i)
    0.824
  • (ii)
    0.8236
  • (iii)
    0.8233
  • (iv)
    0.8232
  • (v)
    0.8239
Question 2
2.
    • Find the value of
    •  
    • cos
      13 °   20 '  
    • 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)
    0.9727
  • (ii)
    0.9728
  • (iii)
    0.9734
  • (iv)
    0.9731
  • (v)
    0.9735
Question 3
3.
    • Find the value of
    •  
    • tan
      33 °   34 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      33
      0.6494
      0.6519
      0.6544
      0.6569
      0.6594
      0.6619
      0.6644
      0.6669
      0.6694
      0.6720
      4
      8
      13
      17
      21
  • (i)
    0.6632
  • (ii)
    0.6639
  • (iii)
    0.6633
  • (iv)
    0.664
  • (v)
    0.6636
Question 4
4.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.4613
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      27
      0.4540
      0.4555
      0.4571
      0.4586
      0.4602
      0.4617
      0.4633
      0.4648
      0.4664
      0.4679
      3
      5
      8
      11
      13
  • (i)
    27 °   28 '  
  • (ii)
    27 °   23 '  
  • (iii)
    27 °   38 '  
  • (iv)
    27 °   33 '  
  • (v)
    27 °   18 '  
Question 5
5.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.6213
    • 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)
    51 °   25 '  
  • (ii)
    51 °   30 '  
  • (iii)
    51 °   45 '  
  • (iv)
    51 °   35 '  
  • (v)
    51 °   40 '  
Question 6
6.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.6536
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      33
      0.6494
      0.6519
      0.6544
      0.6569
      0.6594
      0.6619
      0.6644
      0.6669
      0.6694
      0.6720
      4
      8
      13
      17
      21
  • (i)
    33 °   10 '  
  • (ii)
    33 °   20 '  
  • (iii)
    33 °  
  • (iv)
    33 °   15 '  
  • (v)
    33 °   5 '  
Question 7
7.
    • Find the value of
    •  
    • sin
      17 °   25 '  
    • 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)
    0.2989
  • (ii)
    0.2996
  • (iii)
    0.2997
  • (iv)
    0.2993
  • (v)
    0.299
Question 8
8.
    • Find the value of
    •  
    • cos
      11 °   28 '  
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      11
      0.9816
      0.9813
      0.9810
      0.9806
      0.9803
      0.9799
      0.9796
      0.9792
      0.9789
      0.9785
      1
      1
      2
      3
      3
  • (i)
    0.9797
  • (ii)
    0.98
  • (iii)
    0.9803
  • (iv)
    0.9796
  • (v)
    0.9804
Question 9
9.
    • Find the value of
    •  
    • tan
      56 °   43 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      56
      1.4826
      1.4882
      1.4938
      1.4994
      1.5051
      1.5108
      1.5166
      1.5224
      1.5282
      1.5340
      10
      19
      29
      38
      48
  • (i)
    1.5231
  • (ii)
    1.5238
  • (iii)
    1.5234
  • (iv)
    1.5237
  • (v)
    1.523
Question 10
10.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.6765
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      42
      0.6691
      0.6704
      0.6717
      0.6730
      0.6743
      0.6756
      0.6769
      0.6782
      0.6794
      0.6807
      2
      4
      6
      9
      11
  • (i)
    42 °   29 '  
  • (ii)
    42 °   39 '  
  • (iii)
    42 °   44 '  
  • (iv)
    42 °   24 '  
  • (v)
    42 °   34 '  
Question 11
11.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.963
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      15
      0.9659
      0.9655
      0.9650
      0.9646
      0.9641
      0.9636
      0.9632
      0.9627
      0.9622
      0.9617
      1
      2
      2
      3
      4
  • (i)
    15 °   43 '  
  • (ii)
    15 °   28 '  
  • (iii)
    15 °   38 '  
  • (iv)
    15 °   33 '  
  • (v)
    15 °   48 '  
Question 12
12.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.4379
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      23
      0.4245
      0.4265
      0.4286
      0.4307
      0.4327
      0.4348
      0.4369
      0.4390
      0.4411
      0.4431
      3
      7
      10
      14
      17
  • (i)
    23 °   34 '  
  • (ii)
    23 °   29 '  
  • (iii)
    23 °   49 '  
  • (iv)
    23 °   39 '  
  • (v)
    23 °   44 '  
    Assignment Key
  •  1) (ii)
  •  2) (iv)
  •  3) (v)
  •  4) (i)
  •  5) (iv)
  •  6) (i)
  •  7) (iv)
  •  8) (ii)
  •  9) (iii)
  •  10) (v)
  •  11) (iii)
  •  12) (iv)