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G c~ • <br />6 rar <br />W <br />Go. %Paeaes~s iss ,~ <br />~y7 ~ <br />H2SS, ~a,~-/ / 8 T /E. / 53 <br />~r~ady, Mq.~,~ ~. <br />i <br />, S IW N¢,i/ Jofir~sor <br />1 /sy <br /> <br />-- ~ <br />, ~ <br /> <br />J <br />~ I ~ <br />i <br /> <br />! _ ; _ i <br />~ ~ <br />_ - ~ <br />1 --- <br />r I <br />i __. <br />~ 1 <br />--- <br />~ <br />~ - -- <br /> <br />I <br />i <br />i <br />_ I! <br />-- 1 <br /> <br /> <br /> <br /> <br />~ <br />~. . <br />Natural Tri~ollometrical Ratios. <br />Angle. Sine. Ten. Sen. Cosec. Cotg. Colin. Angle. Sin. Lo. Seo. Cones. Cote. Conin. <br />o, <br />0 <br />0 <br />0 <br />1. <br />a <br />a <br />1. <br />80 o, <br />8 . <br />1382 <br />.1405 <br />1.0098 <br />7.185 <br />7.115 <br />.99027 <br />82 <br />10 .0029 .0029 343.8 343.8 I. 50 10 .1421 .1435 1.0102 7.040 6.968 .98986 50 <br />20 .0068 .OObB 171.9 171.9 .99998 40 20 .1449 .1465 1.0107 6.900 6.827 .98944 40 <br />30 .0087 .0087 114.6 114.8 .99886 30 30 .1478 .1495 1.0111 6.786 8.681 .98902 30 <br />40 .0116 .0116 1.0001 85.94 85.94 .99893 20 40 .1507 .1524 1.0115 6.638 6.561 .98858 20 <br />50 .0145 .0145 1.0001 68.76 68.75 .99989 10 50 .1536 .1554 1.0120 6.512 6.435 .88814 10 <br />1 .0175 .0175 1.0002 57.3D 57.29 .99885 89 8 .1584 .1584 1.0125 8.394 8.314 .96769 81 <br />10 .0204 .0204 1.0002 49.11 49.10 .99979 50 10 .1593 .1614 1.0129 8.277 6.197 .96723 50' <br />20 .0233 .0233 1.0003 42.88 42.96 .99973 40 20 .1622 .1644 1 0134 8.166 6.084 .93676 40 <br />30 .0262 .0262 1.0003 38.20 38.19 .99968 30 30 .1650 .1673 1.0139 6.059. 5.976 .98629 30 <br />40 .0291 .0291 1.0004 34.38 34.37 .99958 20 40 .1679 .1703 1.0144 5.955 5.871 .98580 20 <br />50 .0320 .0320 1.0005 31.26 31:24 .99949 10 50 .1708 .1733 1.0149 5.855 5.769 •98531 10 <br />2 .0349 .0349 1.0906 28.65 28:84 .98939 88 10 .1738 .1763 1.0154 5.759 5.671 .98481 80 <br />10 .0378 .0378 1.0007 26.45 26.43 .99829 50 10 .1785 .1793 1.0160 5.665 5.576 .98430 50 <br />20 .0407 .0407 1.0008 24.56 24.54 .89917 40 20 .1794 .1823 1.0165 5.575 5.485 .98378 40 <br />30 .0436 .0437 1.0010 22.83 22.90 .99905 30 30 .1822 .1853 1.0170 5.488 5.398 .98325 30 <br />40 .0465 .0466 1.0011 21.49 21.47 .98892 20 40 .1851 .1883 1.0178 5.403 5.308 .98272 20 <br />50 .C494 .0495 1.0012 20.23 20.21 .99878 10 50 .1880 .1914 1.0181 5.320 6.226 .98218 10 <br />3 .0523 .0524 1.0014 19.11 19.08 .99863 8'7 11 .1808 .1944 1.0187 5.241 5.145 .93163 7'9 <br />10 .0552 .0553 1.0015 18.10 18.07 .99847 50 10 .1837 .1974 1.0193 5.164 5.O6fi .98107 50 <br />20 .0681 .0582 1..0017 17.20 17.17 .99831 40 20 .1985 .2004 1.0199 5.089 4.989 •98050 40 <br />30 .0610 .0612 1.0019 16.38 16.35 .99813 30 30 .1884 .2035 1 0205 5.016 4.915 .97992 30 <br />40 .0640 .0641 1.0020 15.64 15.60 .88795 20 40 .2022 .2065 1.0211 4.945 4.843 .97934 20 <br />50 .0869 .0870 1.0022 14.96 14.92 .99776 10 50 .2D51 .2085 1.0217 4.877 4,773 .97875 10 <br />4 .0696 .0699 1.0024 14,34 14.30 •99766 86 12 .2079 .2126 1.0223 4.810 4.705 .97815 78 <br />10 .0727 .0729 1.0027 13.76 13.73 .98738 50 10 .2108 .2156 1.0230 4.745 4.638 .97754 50 <br />20 .0756 .0758 1.0028 13.23 13.20 .89714 40 `l0 .2136 .2186 1.0238 4.682 4.574 .87892 40 <br />30 .0786 .0787 1.0031 12.75 12.71 .99692 30 30 .2164 .2217 1.0243 4.620 4.511 .97630 30 <br />40 .0814 .0816 1.0033 12.29 12.25 .99668 20 40 .2183 .2247 1.0249 4.560 '4.449 .97566 20 <br />50 .0643 .0846 1.0036 11.87 11.83 .99644 10 50 .2221 .2278 1.0256 4.502 4.39D .97502 10 <br />5 .0872 .0875 1.0038 11.47 11.43 .99619 85 13 .2250 .2308 1.0263 4.445 '4.331 .97437 77 <br />10 .09D1 .0904 1.0041 11.10 11.06 .89584 50 10 .2278 .2339 1.0270 4.390 14.275 .97571 50 <br />20 .C829 .0834 1.0043 10.76 10.71 .99567 40 20 .2306 .2370 1.0277 4.336 4.219 .97304 40 <br />30 .0958 .0963 1.0046 10.43 10.39 .89540 30 30 .2334 .2401 1.0284 4.284 4.165 .97237 30 <br />40 .0987 1.0992 1.0049 10.13 10.08 .99511 20 40 .2363 .2432 1.0291 4.232 4.113 :97169 20 <br />50 .1016 '.1022 1.0052 9.839 9.788 .99482 10 50 .2391 .2462 1.0299 4.182 4.061 .97100 10 <br />6 L104b L1051 1.0055 9.667 9.514 .98452 84 14 .2419 .2493 1.0306 4.133 14.011 .97030 78 <br />10 .1074 L1080 1.0058 9.309 9.255 .99421 50 10 .2447 .252& 1.0314 4.086 13.982 .9695E 50 <br />20 .1103 '.1110 1.0061 9.065 9.010 .99390 40 20 .2476 .2555 1.0321 4.039 3.914 .96887 40 <br />30 .1132 .1139 1.0065 8.834 6.777 .98357 30 30 .2504 .2586 1.0329 3.994 3.867 96815 30 <br />40 ,1161 .1169 1.0068 8.614 8.556 .99324 20 40 .2532 .2617 1.0337 3.949 3.821 .96742 20 <br />50 .1190 .1198 1.0072 8.405 8.345 .99290 10 60 .2560 .2648 1.0345 3.906 3.776 .96667 10 <br />7 .1219 .1228 1.0075 8.206 8.144 .99255 83 15 .2586 .2679 1.0353 3.864 3.732 .98593 '75 <br />10 .1248 .1257 1.0079 6.016 7.953 .98219 50 10 .2616 .2711 1.0361 3.822 3.689 .96517 50 <br />20 .1276 .128 1.0082 7.834 7.770 .99182 40 20 .2644 .2742 1.0369 3.782 3.847 86440 40 <br />30 .1305 .1317 1.0088 7.661 7.596 .99144 30 30 .2872 .2773 1.0377 3.742 3.806 .96363 30 <br />40 .133 4 .1346 1.0090 7.486 7.429 .98106 20 40 .2700 .2805 1.0386 3.703 3.588 .S628b 20 <br />50 .136 3 .1376 1.0094 7.337 7.268 .99087 10 50 .2728 .2836 1.0394 3.885 3.526 .96206 10 <br /> 82 74 <br /> Colin. ' Cotp. Cosec. Ses. Tan. Sine. Angle. Crain. Cotp. Cosec. Sec. Tna Sin. Angle. <br />i <br />J <br />