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
      23 °   34 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      23
      0.3907
      0.3923
      0.3939
      0.3955
      0.3971
      0.3987
      0.4003
      0.4019
      0.4035
      0.4051
      3
      5
      8
      11
      13
  • (i)
    0.4001
  • (ii)
    0.3994
  • (iii)
    0.4002
  • (iv)
    0.3995
  • (v)
    0.3998
Question 2
2.
    • Find the value of
    •  
    • cos
      13 °   12 '  
    • 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)
    0.974
  • (ii)
    0.9736
  • (iii)
    0.9733
  • (iv)
    0.9732
  • (v)
    0.9739
Question 3
3.
    • Find the value of
    •  
    • tan
      12 °   19 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      12
      0.2126
      0.2144
      0.2162
      0.2180
      0.2199
      0.2217
      0.2235
      0.2254
      0.2272
      0.2290
      3
      6
      9
      12
      15
  • (i)
    0.2179
  • (ii)
    0.2183
  • (iii)
    0.2186
  • (iv)
    0.218
  • (v)
    0.2187
Question 4
4.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.3338
    • 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)
    19 °   35 '  
  • (ii)
    19 °   30 '  
  • (iii)
    19 °   40 '  
  • (iv)
    19 °   20 '  
  • (v)
    19 °   25 '  
Question 5
5.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.8133
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      35
      0.8192
      0.8181
      0.8171
      0.8161
      0.8151
      0.8141
      0.8131
      0.8121
      0.8111
      0.8100
      2
      3
      5
      7
      8
  • (i)
    35 °   30 '  
  • (ii)
    35 °   45 '  
  • (iii)
    35 °   25 '  
  • (iv)
    35 °   40 '  
  • (v)
    35 °   35 '  
Question 6
6.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.4526
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      24
      0.4452
      0.4473
      0.4494
      0.4515
      0.4536
      0.4557
      0.4578
      0.4599
      0.4621
      0.4642
      4
      7
      11
      14
      18
  • (i)
    24 °   16 '  
  • (ii)
    24 °   26 '  
  • (iii)
    24 °   21 '  
  • (iv)
    24 °   11 '  
  • (v)
    24 °   31 '  
Question 7
7.
    • Find the value of
    •  
    • sin
      36 °   16 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      36
      0.5878
      0.5892
      0.5906
      0.5920
      0.5934
      0.5948
      0.5962
      0.5976
      0.5990
      0.6004
      2
      5
      7
      9
      12
  • (i)
    0.5918
  • (ii)
    0.5919
  • (iii)
    0.5915
  • (iv)
    0.5912
  • (v)
    0.5911
Question 8
8.
    • Find the value of
    •  
    • cos
      33 °   14 '  
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      33
      0.8387
      0.8377
      0.8368
      0.8358
      0.8348
      0.8339
      0.8329
      0.8320
      0.8310
      0.8300
      2
      3
      5
      7
      8
  • (i)
    0.8365
  • (ii)
    0.8362
  • (iii)
    0.8369
  • (iv)
    0.8361
  • (v)
    0.8368
Question 9
9.
    • Find the value of
    •  
    • tan
      16 °   22 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      16
      0.2867
      0.2886
      0.2905
      0.2924
      0.2943
      0.2962
      0.2981
      0.3000
      0.3019
      0.3038
      3
      6
      9
      13
      16
  • (i)
    0.2941
  • (ii)
    0.2937
  • (iii)
    0.2934
  • (iv)
    0.2933
  • (v)
    0.294
Question 10
10.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.6179
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      38
      0.6157
      0.6170
      0.6184
      0.6195
      0.6211
      0.6225
      0.6239
      0.6252
      0.6266
      0.6280
      2
      5
      7
      9
      12
  • (i)
    38 °   10 '  
  • (ii)
    38 °   5 '  
  • (iii)
    38 °   20 '  
  • (iv)
    38 °  
  • (v)
    38 °   15 '  
Question 11
11.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.7802
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      38
      0.7880
      0.7869
      0.7859
      0.7848
      0.7837
      0.7826
      0.7815
      0.7804
      0.7793
      0.7782
      2
      4
      5
      7
      9
  • (i)
    38 °   38 '  
  • (ii)
    38 °   48 '  
  • (iii)
    38 °   33 '  
  • (iv)
    38 °   53 '  
  • (v)
    38 °   43 '  
Question 12
12.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 2.3868
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      67
      2.3559
      2.3673
      2.3789
      2.3906
      2.4023
      2.4142
      2.4262
      2.4383
      2.4504
      2.4627
      20
      40
      60
      79
      99
  • (i)
    67 °   16 '  
  • (ii)
    67 °   6 '  
  • (iii)
    67 °   21 '  
  • (iv)
    67 °   26 '  
  • (v)
    67 °   11 '  
    Assignment Key
  •  1) (v)
  •  2) (ii)
  •  3) (ii)
  •  4) (ii)
  •  5) (v)
  •  6) (iii)
  •  7) (iii)
  •  8) (i)
  •  9) (ii)
  •  10) (i)
  •  11) (v)
  •  12) (i)