TABLE OF NATURAL SINES 



Compiled from Prof. G. W. Jones' Logarithmic Tables 



MINUTES 



DEGREES AND QUARTER DEGREES UP TO 90 



1 0.01745 

 1,15'0.02181 



1,30 0.02618 



1,45 0.03054 



2 0.03490 

 2,15 0.03926 

 2,30 0.04362 

 2,45 0.04798 



3 0.05234 

 3,15 0.05669 

 3,30 0.06105 

 3,45 0.06540 



4 0.06976 

 4,15 0.07411 

 4,30 0.07846 

 4,45 0.08281 



6,15 0.10887 



0.12187 



7,45 0.13485 

 8 0.13917 



16, 0.27564'31,, 0.5150446, 0.7193461 



0.87462 



16 ,15'0.2798331 ,15'0.5187746 ,15'0.72236|61 ,15'0.87673 



16,30 0.28402 [31,30 0.5225046,30 0.72537 



16,45 0.2882031,45 0.52621 



17 0.29237 



17,15 0.2965432,15 0.53361 



17,30 0.30071 



77,30 0.97630 



77,45 0.97723 



78 0.97815 



18,15 0.3131633,15 0.5482948,15 0.7460663,15 0.8929878,15 0.97905 



18,30 0.3173033,30 0.5519448,30 0.7489663,30 0.8949378,30 0.97992 



17,45 0.3048632,45 0.5409747,45 0.7402262,45 0.88902 

 18 0.3090233 0.5446448 0.7431463 0.89101 



18,45 0.3214433,45 0.55557 



19 0.32557 



19,15 0.3296934,15 0.5628049,15 0.7575664,15 0.9007079,15 0.98245 



19,30 0.33381 



19,45 0.3379234,45 0.5700049,45 0.7632364,45 0.9044679,45 0.98404 



5,30 0.0958520,30 0.35021 



0.1045321 0.35837 



21,15 0.36244 



22 0.37461 



22,45 0.38671 



46,45 0.7283761,45 0.8808976,45 0.97338 



32 0.5299247 0.7313562 



47,15 0.7343262,15 0.8849977,15 0.97534 



32,30 0.5373047,30 0.7372862,30 0.88701 



61,30 0.87882 



0.88295 



34 0.5591949 0.75471 



48,45 0.7518463,45 0.89687 



34,30 0.56641 



0.0871620 0.3420235 0.5735850 0.7660465 0.90631 

 5,15 0.0915020,15 0.3461235,15 0.5771550,15 0.7688465,15 0.90814 



49,30 0.76041 



64 0.89879 79 0.98163 



35,30 0.5807050,30 0.7716265,30 0.9099680,30 0.98629 



!/ 



5,45 0.1001920,45 0.3542935,45 0.5842550,45 0.7743965,45 0.9117680,45 0.98700 



36 0.5877951 0.777is|66 0.91355 



36,15 0.59131 



6,30 0.1132021,30 0.3665036,30 0.59482 



6.45 0.1175421,45 0.3705636,45 0.5983251,45 0.78532 



51,15 0.7798866,15 0.91531 



51,30 0.7826l|66,30 0.9170681,30 0.98902 



37 0.60182 52 0.78801 



7,15 0.1262022,15 0.3786537,15 0.6052952,15 0.7906967,15 0.92220 



7,30 0.1305322,30 0.3826837,30 0.6087652,30 0.79335 



37,45 0.61222;52,45 0.79600 67,45 0.92554 



67,30 0.92388 



23 0.3907338 0.6156653 0.7986468 0.92718 



8,15 0.1434923,15 0.39474|38,15 0.6190953,15 0.8012568,15 0.92881 



8,30 0.14781 



64,30 0.9025979,30 0.98325 



66,45 0.9187981,45 0.98965 

 67 0.92050 82 0.99027 



1U00029 



2 0.00058 



3 0.00087 

 40.00116 

 5 0.00145 

 60.00175 



7 0.00204 



8 0.00233 



9 0.00262 

 100.00291 

 110.00320 



12 0.00349 



13 0.00378 



14 0.00407 



15 0.00436 



16 0.00465 



17 0.00495 



18 0.00524 



19 0.00553 



20 0.00582 



21 0.00611 



22 0.00640 



23 0.00669 



24 0.00698 



25 0.00727 



26 0.00756 



27 0.00785 



28 0.00814 



29 0.00844 



30 0.00873 



31 0.00902 



32 0.00931 



33 0.00960 



34 0.00989 



35 0.01018 



36 0.01047 



37 0.01076 

 380.01105 

 390.01134 

 400.01164 



41 0.01193 



42 0.01222 



43 0.01251 

 440.01280 



45 0.01309 



46 0.01338 



47 0.01367 



48 0.01396 



49 0.01425 



50 0.01454 



51 0.01483 



52 0.01513 



53 0.01542 

 540.01571 



55 0.01600 



56 0.01629 



57 0.01658 



58 0.01687 



590.01716J15,30 0.26724 ! 30,30 0.5075445,30 0.7132560,30 0.8703675,30 0.96815J 

 600.0174515,45 0.2714430,45 0.5112945,45 0.71630 ( 60,45 0.8725075,45 0.96923 



76, 0.97030 

 76,15'0.97134 

 76,30 0.97237 



77 0.97437 



78,45 0.98079 



80 0.98481 

 80,15 0.98556 



81 0.98769 

 81,15 0.98836 



82,15 0.99087 



82,30 0.99144 



82,45 0.99200 



83 0.99255 



83,15 0.99307 



23,30 0.3987538,30 0.6225153,30 0.8038668,30 0.9304283,30 0.99357 



8,45 0.1521223,45 0.4027538,45 0.6259253,45 0.80644 



9 0.15643,24 0.4067439 0.6293254 0.80902 



9,15 0.1607424,15 0.4107239,15 0.6327154,15 0.81157 



9,30 0.1650524,30 0.4146939,30 0.6360854,30 0.81412 



9,45 0.1693524,45 0.4186639,45 0.6394454,45 0.81664 



10 



0.1736525 0.4226240 0.64279,55 0.81915 



10,15 0.17794;25,15 0.4265740,15 0.6461255,15 0.82165 



10,30 0.18224!25,30 0.43051 



40,30 0.64945,55,30 0.82413 



10,45 0.18652!25,45 0.4344540,45 0.65276'55,45 0.8265970,45 0.94409,85,45 0.99725 



11 0.19081126 0.4383741 0.6560656 0.82904 

 11,15 0.1950926,15 0.4422941,15 0.65935'56,15 0,83147 



11,30 0.19937:26,30 0.4462041,30 0.6626256,30 0.8338971,30 0.9483286,30 0.99813 

 11,45 0.20364|26,45 0.4501041,45 0.6658856,45 0.8362971,45 0.94970,86,45 0.99839 



12 0.2079127 0.4539942 0.6691357 0.83867 

 12,15 0.21218127,15 0.4578742,15 0.6723757,15 0.84104 



12,30 0.21644127,30 0.4617542,30 0.6755957,30 0.8433972,30 0.9537287,30 0.99905 



A f\ A r f\ r\r\r\*i/\\ r\* A r r\ A s r s 4 * >*\ A r r\^>rnor\r'7>ic' ^o^r^ri^ri/ir rvnr rr\^ OT A r r\ r*r*o^ -7 



12,45 0.2207027,45 0.46561 

 13 0.22495 28 0.46947 

 13,15 0.22920;28,15 0.47332 



13,45 0.23769j28,45 0.4809943,45 0.69151 



14 0.24192129 



0.48481 



14,30 0.25038!29,30 0.4924244,30 0.70091 

 14,45 0.25460i29,45 0.4962244,45 0.70401 

 15 0.2588230 0.5000045 0.70711 



43 0.68200 58 0.84805 



43,15 0.68518 



58,15 0.8503573,15 0.95757,88,15 0.99953 



13,30 0.23345:28,30 0.4771643,30 0.6883558,30 0.8526473,30 0.9588288,30 0.99966 



44 0.6X6659 0.85717 



14,15 0.24615 : 29,15 0.4886244,15 0.6977959,15 0.85941 



15,15 0.2630330,15 0.5037745,15 0.7101960,15 0.8682075,15 0.96705 



58,45 0.85491 



59,30 0.86163 

 59,45 0.86384 

 60 0.86603 



68,45 0.93201 !83 ,45 0.99406 



69 



0.93358 84 0.99452 



69,15 0.9351484,15 0.99497 



69,30 0.93667,84,30 0.99540 



69,45 0.93819,84,45 0.99580 



70 0.93969,85 0.99619 



70,15 0.9411885,15 0.99657 



70,30 0.9426485,30 0.99692 



71 0.9455286 0.99756 

 71,15 0.9469386,15 0.99786 



72 0.9510687 0.99863 

 72,15 0.95240|87,15 0.99885 



42,45 0.6788057,45 0.8457372,45 0.9550287,45 0.99923 



73 0.95630 88 0.99939 



73,45 0.96005,88,45 0.99976 



74 0.9612689 0.99985 

 74,15 0.9624689,15 0.99991 

 74,30 0.9636389,30 0.99996 

 74,45 0.9647989,45 0.99999 



75 0.96593,90 1.00000 



