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
      25 °   10 '  
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      25
      0.4226
      0.4242
      0.4258
      0.4274
      0.4289
      0.4305
      0.4321
      0.4337
      0.4352
      0.4368
      3
      5
      8
      11
      13
  • (i)
    0.425
  • (ii)
    0.4257
  • (iii)
    0.4256
  • (iv)
    0.4249
  • (v)
    0.4253
Question 2
2.
    • Find the value of
    •  
    • cos
      50 °   16 '  
    • 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)
    0.6396
  • (ii)
    0.6392
  • (iii)
    0.6389
  • (iv)
    0.6395
  • (v)
    0.6388
Question 3
3.
    • Find the value of
    •  
    • tan
      26 °   32 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      26
      0.4877
      0.4899
      0.4921
      0.4942
      0.4964
      0.4986
      0.5008
      0.5029
      0.5051
      0.5073
      4
      7
      11
      15
      18
  • (i)
    0.4996
  • (ii)
    0.4997
  • (iii)
    0.4989
  • (iv)
    0.4993
  • (v)
    0.499
Question 4
4.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.2504
    • From Table of Natural Sines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      14
      0.2419
      0.2436
      0.2453
      0.2470
      0.2487
      0.2504
      0.2521
      0.2538
      0.2554
      0.2571
      3
      6
      8
      11
      14
  • (i)
    14 °   20 '  
  • (ii)
    14 °   40 '  
  • (iii)
    14 °   30 '  
  • (iv)
    14 °   25 '  
  • (v)
    14 °   35 '  
Question 5
5.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.3976
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      66
      0.4067
      0.4051
      0.4035
      0.4019
      0.4003
      0.3987
      0.3971
      0.3955
      0.3939
      0.3923
      3
      5
      8
      11
      13
  • (i)
    66 °   39 '  
  • (ii)
    66 °   24 '  
  • (iii)
    66 °   29 '  
  • (iv)
    66 °   34 '  
  • (v)
    66 °   44 '  
Question 6
6.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 0.689
    • 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)
    34 °   39 '  
  • (ii)
    34 °   24 '  
  • (iii)
    34 °   44 '  
  • (iv)
    34 °   29 '  
  • (v)
    34 °   34 '  
Question 7
7.
    • Find the value of
    •  
    • sin
      68 °   27 '  
    • 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)
    0.9301
  • (ii)
    0.9297
  • (iii)
    0.9304
  • (iv)
    0.9298
  • (v)
    0.9305
Question 8
8.
    • Find the value of
    •  
    • cos
      70 °   48 '  
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      70
      0.3420
      0.3404
      0.3387
      0.3371
      0.3355
      0.3338
      0.3322
      0.3305
      0.3289
      0.3272
      3
      5
      8
      11
      13
  • (i)
    0.3292
  • (ii)
    0.3289
  • (iii)
    0.3286
  • (iv)
    0.3293
  • (v)
    0.3285
Question 9
9.
    • Find the value of
    •  
    • tan
      66 °   15 '  
    • From Table of Natural Tangents
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      66
      2.2460
      2.2566
      2.2673
      2.2781
      2.2889
      2.2998
      2.3109
      2.3220
      2.3332
      2.3445
      18
      37
      55
      73
      92
  • (i)
    2.2724
  • (ii)
    2.2728
  • (iii)
    2.2732
  • (iv)
    2.2725
  • (v)
    2.2731
Question 10
10.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • sin
      θ
    • =
    • 0.4591
    • 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 °   30 '  
  • (ii)
    27 °   20 '  
  • (iii)
    27 °   15 '  
  • (iv)
    27 °   10 '  
  • (v)
    27 °   25 '  
Question 11
11.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • cos
      θ
    • =
    • 0.5852
    • From Table of Natural Cosines
      x°
      0'
      6'
      12'
      18'
      24'
      30'
      36'
      42'
      48'
      54'
      1'
      2'
      3'
      4'
      5'
      54
      0.5878
      0.5864
      0.5850
      0.5835
      0.5821
      0.5807
      0.5793
      0.5779
      0.5764
      0.5750
      2
      5
      7
      9
      12
  • (i)
    54 °   1 '  
  • (ii)
    54 °   16 '  
  • (iii)
    54 °   6 '  
  • (iv)
    54 °   11 '  
  • (v)
    54 °   21 '  
Question 12
12.
    • Find angle
    •  
    • θ
    •  
    • such that
    •  
    • tan
      θ
    • =
    • 2.1282
    • 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)
    64 °   55 '  
  • (ii)
    64 °   45 '  
  • (iii)
    64 °   40 '  
  • (iv)
    65 °  
  • (v)
    64 °   50 '  
    Assignment Key
  •  1) (v)
  •  2) (ii)
  •  3) (iv)
  •  4) (iii)
  •  5) (iv)
  •  6) (v)
  •  7) (i)
  •  8) (ii)
  •  9) (ii)
  •  10) (ii)
  •  11) (iv)
  •  12) (v)