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',I o r LVfso/t~' r{ C~i t~/ Dl.~ . C. . C ayr/ /~'. /yJi %~¢r' 7' W. S 4~/~2,rr~ ~ MHO//O//~ S'~c~/ f T 2 yy /~/ 3 ~ .~.~ ~. GO tJ/'gry4/ .e%s ,. w !s ,rS~ Ie ,ef ~y/'. '. t~. ~`>y` /`~ r V" ~-~• L ~~-/1 .E i! ~~ !~? .E• P ', ~' ~ G i. aX ~~ ~ V'y-jeHwe7 ,01s g'i~t Its /14; Wo~~,64r/~ i r ~ 7 W WIrJ', S~JiAN (L~ 2L p 3W s ~r ~ ~- / W J 9 p' 72 7 ~ Fb/~ Co. a Sf W !~ s ~ JO/~le+!' .~ ~ T W. S.cr/~..rrr ? .w ~'t rof //~ ~ ~~,' 1 J~~ rar 1 ~d3 Natural Trigonometrical Ratios. Angle. Sine. Tan. Sec. Cosec . Cotg. Cosin. Angle. Sine. Tan. Sec. Cosec. Cotg. Coain. O 0 0 1. a a 1. 80 8 .1392 .1405 1.0098 7.185 7.115 .99027 S2 10 .0029 .0029 343.8 343.8 I. 50 10 .1421 .1435 1.0102 7.040 6.968 .98986 50 20 .0058 .0058 171.9 171.9 .99998 40 20 .1449 .1465 1.0107 6.900 6.827 .98944 40 30 .0087 .0087 114.6 114.6 .99996 30 30 .1478 .1495 1.0111 8.766 6.691 .98902 30 40 .0116 .0116 1.0001 85.94 85.94 .99993 20 40 .1507 .1524 1.0115 6.636 6.561 .98858 20 50 .0145 .0145 1.0001 68.76 68.75 .99989 10 50 .1536 .1554 1.0120 8.512 6.435 .98814 10 1 .0175 .0175 1.0002 57.30 57.29 .99985 88 9 .1564 .1584 1.0125 6.394 6.314 .98769 81 10 .0204 .0204 1.0002 49.11 49.10 .99979 50 10 .1593 .1614 1.0129 6.277j 6.197 .98723 50 20 .0233 .0233 1.0003 42.88 42.96 .99973 40 20 .1fi22 .1644 1.0134 6.166. 6.084 .98676 40 30 .0262 .0262 1.0003 38.20 38.19 .99966 30 30 .1650 .1673 1.0139 1 6.059. 5.976 .98629 30 40 .0291 .0291 1.0004 34.38 34.37 .99958 20 40 .1679 .1703 1.0144 5.955 5.871 .96580 20 50 .0320 .0320 1.0005 31.26 31.24 .99949 10 50 .1708 .1733 1.0149 5.855 5.769 •98531 10 2 .0349 .0349 1.0006 28.65 28.64 .99939 88 10 .1736 .1763 1.0154 5.759 5.671 .98481 80 10 .0378 .0378 1.0007 28.45 26.43 .99929 50 10 .1765 .1793 1.0160 5.665 5.576 .98430 50 20 .0407 .0407 1.0008 24.56 24.54 .99917 40 20 .1794 .1823 1.0165 5.575 5.485 .98378 40 30 .0436 .0437 1.0010 22.93 22.90 .89905 30 30 .1822 .1853 1.0170 5.488 5.396 .98325 30 40 .0465 .0466 1.0011 21.49 21.47 .99892 20 40 .1851 .1883 1.0178 5.403 5.309 .98272 20 50 .0494 .0495 1.0012 20.23 20.21 .99878 10 50 .1880 .1914 1.0181 5.320 5.226 98218 10 3 .0523 .0524 1.0014 19.11 19.08 .99863 S7 11 .1908 .1944 1.0187 5.241 5.145 .98163 '78 10 .0552 .0553 1.0015 18.10 18.07 .99847 50 10 .1937 .1974 1.Oi93 5.164 5.066 .98107 50 20 .0581 .0562 1.0017 17.20 17.17 .99831 40 20 .1965 .2004 1.0199 5.0891 4.989 98050 40 30 .0610 .0612 1.0019 16.38 16.35 .99813 30 30 .1994 .2035 1.0205 5.016 4.915 .97992 30 40 .0640 .0641 1.0020 15.64 15.60 .99795 20 40 .2022 .2085 1.0211 4.945 4.843 .97934 20 50 .0669 .0670 1.0022 14.96 14.92 .99776 10 50 .2051 .2095 1.0217 4.877 4.773 .97875 10 4 .0698 .0699 1.0024 14.34 14.30 .99756 86 12 .2079 .2126 1.0223 4.810 4.705 .97815 r8 10 .0727 .0729 1.0027 13.76 13.73 .99736 50 10 .2106 .2156 1.0230 4.745 4.838 .97754 50 20 .0758 .0758 1.0029 13.23 13.20 .99714 40 20 .2136 .2166 1.0236 4.682 4.574 .97692 40 30 .0785 .0787 1.0031 12.75 12.71 .99692 30 30 .2164 .2217 1.0243 4.620 4.511 .97630 30 40 .0814 .0816 1.0033 12.29 12.25 .99868 20 40 .2193 .2247 1.0249 4.560 4.449 .97566 20 50 .0843 .0846 1.0036 11.87 11.83 .99644 10 50 .2221 .2278 1.0256 4.502 4.390 .97502 10 5 ,0872 .0875 1.0038 11.47 11.43 .89619 85 13 .2250 ,2309 1.0263 4.445 4.331 .97437 7'7 10 .0901 .0904 1.0041 11.10 11.06 .99594 50 10 .2278 .2339 1.0270 4.390 4.275 .97371 50 20 .0929 .0934 1.0043 10.76 10.71 .99567 40 20 .2306 .2370 1.0277 4.336 4.219 .97304 40 30 .0958 .0963 1.0046 10.43 10.39 .89540 30 30 .2334 .2401 1.0284 4.284 4.165 .97237 30 40 .0987 .0992 1.0049 10.13 10.08 .99511 20 40 .2363 .2432 1.0291 4.232 4.113 .97169 20 50 .1016' .1022 1.0052 9.839 9.788 .99462 10 50 .2391 .2462 1.0299 4.182 4.061 .97100 10 6 .1045 .1051 1.0055 9.567 9.514 .99452 S4 14 ,2419 .2493 1.0306 4.133 4.011 .97030 i6 10 .1074 .1080 1.0058 9.309 9.255 .99421 50 10 .2447 .2524 1.0314 4.086 3.962 .96959 50 20 .1103 .1110 1.0061 8.065 9.010 .99390 40 20 .2476 .2555 1.0321 4.039 3.914 .96887 40 30 .1132 .1139 1.0065 8.834 8.777 .99357 30 30 .2504 .2586 1.0329 3.894 3.865 .96815 30 40 .1161 .1169 1.0068 8.614 8.556 .99324 20 40 .2532 .2617 1.0337 3.949, 3.821 .96742 20 50 .1190 :1198 1.0072 8.405 8.345 .99290 10 50 .2560 .2648 1.0345 3.906 3.778 .96667 10 7 .1219 .1228 1.0075 8.206 8.14.4 .99255 83 15 .2588 .2679 1.0353 3.864 3.732 .96593 75 10 .1248 .1257 1.0079 8.016 7.953 .99219 50 10 .2616 .2711 1.0361 3.822 3.889 .96515 50 20 .1276 .1287 1.0082 7.834 7.770 .99182 40 20 .2644 .2742 1.0369 3.782 3.647 .96440 40 30 .1305 .1317 1.0066 7.681 7.596 .99144 30 30 .2672 .2773 1.0377 3.742 3.606 .96363 30 40 .1334 .1346 1.0090 7.496 7.429 .99106 20 40 .2700 .2805 1.0386 3.703 3.566 .96285 20 50 .1363 .1378 1.0094 7.337 7.269 .99067 10 50 .2728 .2836 1.0394 3.665 3.526 .96206 10 S2 '74 Cosin. Cotg. Cosec. Sec. Tan. Sine. Angle. Coain. Cotg. Cosec. Sec. Tan. Sine.~ Angle.