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Natural Trigonometrical Functions <br />Angle. Sin. Tan. Sea Cosec. Cotg. Cosin. <br />Angle. Sin. Tan. Sec. Cosec. Cotg. Cosin. <br />of <br />o <br />0 <br />0 <br />''0 <br />1. <br />ao <br />00 <br />1. <br />90 <br />8 <br />.1392 <br />.1405 <br />1.0098 <br />7.185 <br />7.115 <br />.99027 <br />82 <br />10 <br />.0029 <br />.0029 <br />1.0412 <br />343.8343.8 <br />3.450 <br />1. <br />50 <br />40 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.968 <br />.98980 <br />60 <br />20 <br />.0058 <br />:0058 <br />1.0423 <br />171.9 <br />171.9 <br />.99998 <br />40 <br />20 <br />.1449 <br />.1465 <br />1.0107 <br />6.900 <br />6.827 <br />.98944 <br />40 <br />=.30 <br />.0087.0087 <br />.2962 <br />i.0429 <br />114;6 <br />114.6 <br />.9999 <br />30 <br />30 <br />.1478 <br />.1495 <br />1.0111 <br />6.766 <br />6.691 <br />.98902 <br />30 <br />40 <br />.0116 <br />.0116 <br />1.6001 <br />85.94 <br />85.94 <br />.9999 <br />20 <br />40 <br />.1507 <br />.1524 <br />1.0115 <br />6.636 <br />6.561 <br />.98858 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />68.76 <br />68.95 <br />.99989 <br />10 <br />50 <br />.1536 <br />.1554 <br />1.0120 <br />6.512 <br />6.435 <br />.98814 <br />10 <br />1 , <br />.0175 <br />.0175 <br />1.0002 <br />57.30 <br />57.29 <br />.99985 <br />89 <br />9, ;,1564 <br />422 6 <br />.1584 <br />1.0125 <br />6.394 <br />6.314 <br />.98769 <br />81 <br />10 <br />.0204 <br />.020 <br />1.0002 <br />49:11 <br />49.10 <br />.9997 <br />50 <br />' ' 10 <br />,1593 <br />.1614 <br />1.0129 <br />6,277 <br />6.197 <br />.98723 <br />50 <br />,'20 <br />.0233 <br />.0233 <br />1.0003 <br />42.98 <br />42.96 <br />.99973 <br />40 <br />20 <br />.1622 <br />.1644 <br />1.0134 <br />6.166 <br />6.84 <br />.98676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.9996 <br />30 <br />30 <br />.1650 <br />.1673 <br />1.01396.0595. <br />2:323 <br />. 976 <br />.98629 <br />30 <br />40 <br />.0291 <br />.0291 <br />1.0004 <br />34.38 <br />34.37 <br />.99958 <br />20 <br />40 <br />:1679 <br />.1703 <br />1.0144 <br />5:955 <br />5.871 <br />.98580 <br />20 <br />50 <br />.0320 <br />.0320 <br />1.0005 <br />31.26 <br />31.24 <br />.99949 <br />• 10 <br />50 <br />.1708 <br />.1733 <br />1.0149 <br />5.855 <br />5.769 <br />.98531 <br />10 <br />2 <br />.0349 <br />.0349 <br />1.0006 <br />28.65 <br />28.64 <br />.99939 <br />88 <br />10 <br />.1736 <br />.1763 <br />1.0154 <br />5.759 <br />5.671 <br />•98481 <br />80 <br />10 <br />.0378 <br />.0378 <br />1.0007 <br />26.45 <br />26.43 <br />.99929 <br />50.. <br />.10 <br />.1765 <br />.1793 <br />1.0160 <br />5.665 <br />5.576 <br />.98430 <br />50 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.56 <br />24.54 <br />.9991 <br />40 <br />:20 <br />.1794 <br />.1823 <br />1:0165 <br />5.575 <br />5.485 <br />.98378 <br />40 <br />30 <br />.0436 <br />.0437 <br />1.0010 <br />22.93 <br />22.90 <br />.99905" <br />30 <br />' 30 <br />.1822 <br />.1853 <br />1.0170 <br />5.488 <br />5.396 <br />.98325 <br />30 <br />40 <br />.0465 <br />.04661 <br />' .0011 <br />21 �49 <br />21:47 <br />.99892 <br />20• <br />40 <br />.1851 <br />.1883 <br />1.0176 <br />5.403 <br />5.309 <br />.98272 <br />20 <br />60 <br />:0494 <br />.0495 <br />1.0612 <br />26.23 <br />20.21 <br />:99873 <br />10 <br />50 <br />.1880 <br />'1914 <br />1.0181 <br />5.320 <br />5.226 <br />.98218 <br />10 <br />8 . <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.08 <br />.99863 <br />87 <br />11 <br />.1908 <br />.1944 <br />1.0187 <br />5.241 <br />5.145 <br />.98163 <br />79 <br />10 <br />.0552 <br />.0553 <br />1.0015 <br />18.10 <br />18.07 <br />.99847 <br />50 <br />"'10 <br />.1937 <br />.1974 <br />1.0193 <br />5.164 <br />5,066 <br />.98107 <br />50 <br />20 <br />.0581 <br />.0582 <br />1.0017 <br />17.20 <br />17.17 <br />.99831 <br />40 <br />X20 <br />.1965 <br />.2004 <br />1.0199 <br />5.089 <br />4.989 <br />.98050 <br />40 <br />30 <br />.0610 <br />:0612 <br />1.0019 <br />16.38 <br />16.35 <br />.99313 <br />30. <br />30 <br />.1994 <br />.2035 <br />1.0205 <br />5.016 <br />4.915 <br />.97992 <br />30 <br />40 <br />.0640 <br />.0641 <br />1.002b <br />15.64 <br />1'5.60 <br />.99795 <br />20 <br />.40 <br />.2022 <br />.2065 <br />1.0211 <br />4.945 <br />4,843 <br />.97934 <br />20 <br />5}0 <br />.0669 <br />:06701.0022 <br />1.0631 <br />14.96 <br />14.92 <br />.99776 <br />10 <br />50 <br />.2051 <br />.2095 <br />1.0217 <br />4.877 <br />4:773 <br />.97875 <br />10 <br />4... <br />.0698 <br />.0699 <br />1.0024 <br />14.34 <br />14.30 <br />.99756 <br />86 <br />12 <br />.2079 <br />.2126 <br />1.0223 <br />4.810 <br />4.705 <br />.97815 <br />78 <br />10 <br />.0727 <br />.0729 <br />1.0027 <br />13.76 <br />13:73 <br />.99736 <br />50 <br />10 <br />.108 <br />.2156 <br />.0230 <br />4.745 <br />4.638 <br />;97754 <br />50 <br />20 <br />.0756 <br />.07:.81.0029 <br />13.23 <br />13.20 <br />.99714 <br />40 <br />20 <br />.2136 <br />.2186 <br />1.0236 <br />4:682 <br />4.574 <br />.97692 <br />40 <br />30 <br />.0785 <br />.0787 <br />1.0031 <br />12.75 <br />12.71 <br />.99692 <br />30 <br />30 <br />.2164 <br />.2217 <br />1.0243 <br />4.620 <br />4.511 <br />.97630 <br />30 <br />40 <br />.0814 <br />.0816 <br />1.0033 <br />12.29 <br />12.25 <br />.99668 <br />20 <br />40 <br />.2193 <br />.2247 <br />1.0249 <br />4.560 <br />4.449 <br />.97566 <br />20 <br />60 <br />.0843 <br />.084C <br />1.0036 <br />11.87 <br />11.53 <br />.99644 <br />10 <br />50 <br />.2221 <br />.2278 <br />1.0256 <br />4.502 <br />4.390 <br />.97502 <br />10 <br />5 . <br />.0872 <br />:0875 <br />1.003811.47 <br />2.790 <br />Ii:43 <br />.99619 <br />85 ' <br />.13', <br />.2250 <br />.2309 <br />1.0263 <br />4.445 <br />4.331 <br />.9743777 <br />61 <br />-v10 <br />.0961 <br />.0904 <br />1.0641 <br />11.10 <br />11.06 <br />.9959 <br />; 50 <br />:-10 <br />.2278 <br />.2339 <br />1.6270 <br />4.390 <br />4.275 <br />.97371 <br />50 <br />20 <br />.0929 <br />.0934 <br />1.0043 <br />10:7610.71 <br />.560 <br />,99567. <br />46 <br />-20 <br />:2306 <br />.2370 <br />1.0277 <br />4:336 <br />4.219 <br />.97304 <br />40 <br />30 <br />.0958 <br />.0963 <br />1.0046 <br />10.43 <br />10.39 <br />.99540 <br />30 <br />.30 <br />.2334 <br />.2401 <br />1.0284 <br />4.284 <br />4.165 <br />.97237 <br />30 <br />40 <br />.0987 <br />.0992 <br />1.0049 <br />10.15 <br />10.08 <br />.99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291 <br />4.232 <br />4.113 <br />.97169 <br />20 <br />50 <br />.1016 <br />.1022 <br />1.0052 <br />9.839 <br />9.788 <br />.99482 <br />10 <br />50 <br />.2391 <br />.2462 <br />1.0299 <br />4.182 <br />4.661 <br />.97100 <br />10 <br />g <br />.1045 <br />.1051 <br />1.0055 <br />9.567 <br />9.514 <br />.99452 <br />84 <br />14 ' <br />.2419 <br />.2493 <br />1.0306 <br />4.133 <br />:011 <br />.97030 <br />76 <br />10 <br />.1074 <br />.1080 <br />1.0058 <br />9.309 <br />9.255 <br />.99421 <br />50 <br />10 <br />.2447 <br />.2524 <br />1.0314 <br />4.086 <br />3:962 <br />.96959 <br />50 <br />20 <br />.1103 <br />.1110 <br />1.0061 <br />9.065 <br />9.010 <br />.99390 <br />40 <br />20 <br />.2476 <br />.2555 <br />1.0321 <br />.039 <br />.914 <br />.96887 <br />40 <br />30 <br />.1132 <br />.1139 <br />1.0065 <br />8:834 <br />8.777 <br />.99357 <br />30 <br />30 <br />.2504 <br />.2586 <br />1.0329 <br />3.994 <br />3.867 <br />.96815 <br />30 <br />46 <br />.1161 <br />.1169 <br />1.0068 <br />8.614 <br />8.556 <br />.99324'. <br />20 <br />' 40 <br />.2532 <br />.2617 <br />1.0337 <br />Kk9 <br />3.821 <br />96742 <br />20 <br />50 <br />. 1190 <br />.1198 <br />1 2 <br />.007.3 <br />8.405 <br />8 45 <br />., <br />.99 90 <br />1 <br />; 0 <br />50.560 <br />2 <br />.2645 <br />1.0845 <br />.906 <br />3.776 <br />.9666 7 <br />10 <br />23 <br />.1219 <br />.1228 <br />1.0075 <br />8.206 <br />8.144 <br />.99255 <br />83 <br />15 <br />.2588 <br />.2679 <br />1:0353 <br />3.864 <br />3.732 <br />.96593 <br />75 <br />10 <br />:1248 <br />.1257 <br />1.0079 <br />8.016 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2616 <br />.2711 <br />1.0361 <br />.822 <br />3.889 <br />.96517 <br />50 <br />20 <br />'.1276 <br />.1287 <br />1.0682 <br />7.834 <br />7.770 <br />.99152 <br />• 40 <br />20 <br />.2644 <br />.2742 <br />1.0369 <br />3.782 <br />.647 <br />.96440 <br />40 <br />30 <br />:1305 <br />.1317 <br />1.0086 <br />7.661 <br />7.596 <br />.09144 <br />30 <br />30 <br />.2672 <br />.2773 <br />1.0377 <br />3.742 <br />3.606 <br />.96363 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0090 <br />.496 <br />7.429 <br />.99106 <br />20 <br />40 <br />.2700 <br />.2805 <br />1.0386 <br />3.703 <br />3.566 <br />.96285 <br />20 <br />Sol. <br />1363 <br />.1376 <br />1.0094 <br />7.337 <br />7.269 <br />.99067 <br />10 <br />50 <br />.2728 <br />.2836 <br />1.0394 <br />3.665 <br />3.526 <br />.96206 <br />10 <br />82 <br />1 <br />158 <br />74 <br />Cosin. <br />Cotg. <br />Cosec <br />Sec. <br />Tan. <br />Sin. <br />Angle <br />Coaln. <br />Cotg. <br />Cosec, <br />.Sea <br />`Tan.' <br />Sin. <br />Angle <br />!X1 <br />Natural. _Trigonometrical Functions <br />Angle: Sin. Tan._ See." Cosec Cotg. Cosin. <br />Angle. Sin. Tan. ,Sea", Cosec Cotg. Cosln.. ; <br />16 <br />.2756 <br />.2867 <br />1.0403 <br />3.628 <br />3.487 <br />.96126 <br />74 <br />24 <br />.4067 <br />.4452 <br />1.0946 <br />2.459 <br />2.246 <br />:91355 <br />SO., <br />10 <br />'.2784 <br />.2899 <br />1.0412 <br />3.592 <br />3.450 <br />.96046 <br />` 50 <br />.10 <br />.4094 <br />.44871.09612.443 <br />2.229 <br />.9123 <br />;60 <br />20 <br />.2812 <br />.2931 <br />1.0423 <br />3.556 <br />3.412 <br />.95964 <br />.40 <br />20 <br />.4120 <br />.4522 <br />1.0975 <br />2.427 <br />2.211 <br />.91116 <br />40 <br />30 <br />:2840 <br />.2962 <br />i.0429 <br />3.521 <br />3.376 <br />.95882 <br />.30 <br />' 30 <br />.4147 <br />.4557 <br />1.0989 <br />2.411 <br />2.194 <br />.90996 <br />, 30 <br />40 <br />.2868 <br />.2994 <br />1.0438 <br />3.487 <br />3.340 <br />.95799' <br />*20 <br />.40 <br />.4173 <br />:45921.1004 <br />2.396 <br />2.177 <br />.90875 <br />" 20 <br />50 <br />.2896 <br />.3026 <br />1.044S <br />3.453 <br />3.305 <br />.95715. <br />10 <br />; " 50 <br />.4200 <br />.4628 <br />1.1019 <br />2.381 <br />2.161 <br />.90753 <br />10 <br />17- _ <br />2 <br />.29 4 <br />.3057 <br />1 .045 <br />3 .420 <br />2 <br />3. 71 <br />• .95630 <br />73 <br />2 5 <br />422 6 <br />4 <br />. 663 <br />1.1034 <br />2.366 <br />2:145 <br />:90631 <br />65 <br />10 <br />.2952 <br />.3080 <br />1.0466 <br />3.388 <br />2 <br />3. 37.95545 <br />x_50 <br />1 0 <br />42 <br />. 53. <br />4 699 <br />1 4 <br />.10 9 <br />2.3512.128.905 <br />07 <br />50 <br />20 <br />.2979 <br />.3121 <br />1.047C <br />3.357 <br />3.204 <br />.95459 <br />.:40 <br />20 <br />.4279 <br />.4734 <br />1.1064 <br />2:337 <br />2.112 <br />.90383 <br />40 <br />30 <br />.3007 <br />.3153 <br />1.0485 <br />3.326 <br />3.172 <br />.95372 <br />. 30 <br />: ' 36 <br />.4305 <br />.4770 <br />1.1079 <br />2:323 <br />2.097 <br />.90259 <br />30 <br />-40 <br />.3035 <br />:31851.0495 <br />3.295 <br />3.140 <br />:95284 <br />. 20 <br />:: 40 <br />'.4331 <br />.4806 <br />1.1095 <br />2.309 <br />2:081 <br />.90133 <br />'26 <br />50 <br />.3062 <br />:32171.0505 <br />3.265 <br />3:108 <br />.95195 <br />:10 . <br />-50 <br />:4358 <br />'.48411-.1110 <br />2.295 <br />2.066 <br />.90007 <br />10 <br />18 - <br />.3090 <br />.3249 <br />1.0515 <br />3.236 <br />3.078 <br />'.95106 <br />721, <br />26-, <br />'.4384 <br />.48771.1126 <br />2.281 <br />2.050 <br />.89879 <br />64` <br />10 <br />.3115 <br />.3281 <br />1.0525 <br />3.207 <br />3.048 <br />•.95015 <br />'^ 50 <br />10 <br />:4410 <br />.4913 <br />1.1142 <br />2.268 <br />2.035 <br />.89752 <br />, 50 <br />'20 <br />.3145 <br />.3314 <br />1.0535 <br />3.179 <br />3.018 <br />.94924. <br />40 <br />:: 20 <br />:4436 <br />.'49501.1158 <br />2.254 <br />2.020 <br />.89623. <br />40 <br />- 30 <br />.3173 <br />.3346 <br />1.0545 <br />3.152 <br />2:989 <br />.94832. <br />'30 <br />30 <br />.4462 <br />.4986 <br />1.1174 <br />2.2412.006 <br />.89493 <br />30 <br />40 <br />.3201 <br />.3378 <br />1.0555 <br />3.124 <br />2.960 <br />.94740 <br />' 20 ; <br />. "40 <br />.4488 <br />.5022 <br />1.1190 <br />2.228 <br />1.991 <br />.89363 <br />20 <br />60 <br />.8223 <br />.3411 <br />1.0566 <br />3.098 <br />2.932 <br />.94646 <br />10 <br />50 <br />.4514 <br />.5059 <br />1.1207 <br />2.215 <br />1.977 <br />.89232 <br />10 <br />19', <br />.3256 <br />.3443 <br />1.0576 <br />3.072 <br />2.904 <br />.94552 <br />71 • <br />27-1 <br />:4540 <br />.5095 <br />1.1223 <br />3.203 <br />1.963 <br />89101 <br />63 <br />10 <br />.3283 <br />:3476 <br />1.0587 <br />3.046 <br />.877 <br />.94457 <br />•501. <br />10 <br />.4566 <br />.5132 <br />1.1240 <br />.190 <br />1.949 <br />.88968 <br />50 <br />.20 <br />.3311 <br />.3508 <br />1.0598 <br />3.020 <br />.850 <br />.94361 <br />' 40 ' <br />20 <br />.4592 <br />.5169 <br />1:1257 <br />.178 <br />1.935 <br />.88835 <br />40 <br />30 <br />.3338 <br />.3541 <br />1.0608 <br />2.996 <br />.824 <br />.94264 <br />30 <br />30 <br />.4617 <br />.5206 <br />1.1274 <br />2.1661.921 <br />,88701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0619 <br />2.971 <br />.798 <br />.94167 <br />20 <br />40 <br />.4643 <br />.5243 <br />11.1291 <br />1.154 <br />1.907 <br />.88566 <br />20 <br />x.50 <br />.3393 <br />.3607 <br />1.0631 <br />.947 <br />.773 <br />.94068 <br />10 <br />50 <br />.4669 <br />.5280 <br />1.1308 <br />.142 <br />1.894 <br />.88431 <br />'10 <br />20 <br />.3420 <br />.3640 <br />1.0642 <br />2.924 <br />.747 <br />.93969 <br />70 <br />28 <br />.4695 <br />.5317 <br />1.1326 <br />.130 <br />1.881 <br />.88295 <br />62 <br />10 <br />.3448 <br />.3673 <br />1.0653 <br />2.900 <br />.723 <br />.93869 <br />50 <br />10 <br />.4720 <br />.5354 <br />1.1343 <br />1.119 <br />1.868 <br />.88158 <br />',50 <br />20 <br />.3475 <br />.37061.0665 <br />2.878 <br />.699 <br />.93769 <br />40 <br />' ' 20 <br />.4746 <br />.5392 <br />1.1361 <br />,107 <br />1.855 <br />.88020 <br />'40 <br />30 <br />.3502 <br />.3739 <br />1.0676 <br />2.856 <br />.675 <br />.93667 <br />30 <br />30 <br />.4772 <br />.5430 <br />.1379 <br />.096 <br />1.842 <br />.87882 <br />30 <br />40.3529.37721.06882.833' <br />.651.93565 <br />20 <br />.'40.4797.54671.1397 <br />,Q85 <br />1.829 <br />187743 <br />�20 <br />50 <br />.3557 <br />.3805 <br />1.0700 <br />2.811 <br />.628 <br />.93462 <br />10 <br />50 <br />.4823 <br />.5505 <br />1.1415 <br />2.073 <br />1.816 <br />.87603 <br />10 <br />21 <br />.3584 <br />.3839 <br />1.0711 <br />2.790 <br />.605 <br />.93358 <br />69 • <br />29 <br />.4848 <br />.5543 <br />1.1434 <br />.063 <br />1.804 <br />.87462 <br />61 <br />10 <br />.3611 <br />.3872 <br />1.0723 <br />2.769 <br />.583 <br />.93253 <br />50 <br />10 <br />.4874 <br />.5581 <br />1.1452 <br />.052 <br />1.792 <br />.87321 <br />60 <br />:20 <br />.3638 <br />.3906 <br />1.0736 <br />2.749 <br />.560 <br />.93148 <br />40 <br />20 <br />.4899 <br />.5619 <br />1.1471 <br />:041 <br />1.780 <br />.87178 <br />, 40 <br />30 <br />.3665 <br />.3939 <br />1.0748 <br />2.729 <br />.539 <br />.93042 <br />30 <br />'30 <br />.4924 <br />.5658 <br />1.1490 <br />.031 <br />1.767 <br />.87036 <br />30 <br />40 <br />.3692 <br />.3973 <br />1.0760 <br />2.709 <br />.517.9`1935 <br />20- <br />.40 <br />.4950 <br />.5696 <br />1.1509 <br />2.020 <br />1.756.86892 <br />`20 <br />-50 <br />.3719 <br />.4006 <br />1.0773 <br />2.689 <br />1.496 <br />.92827 <br />10 <br />'50 <br />.4975 <br />.5735 <br />1.1528 <br />2.010 <br />1.744 <br />.86748 <br />'10 <br />22 <br />.3746 <br />.4040 <br />1.0785 <br />2.670 <br />.475 <br />.92718 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />2.000 <br />1.732 <br />.86603 <br />60 <br />10 <br />.3773 <br />.4074 <br />1.0798 <br />2.650 <br />.455 <br />.92609 <br />50 <br />10 <br />.5025 <br />.5812 <br />1.1566 <br />1.990 <br />1.720 <br />.86457 <br />� 50 <br />20 <br />.3800 <br />.4108 <br />1.0811 <br />2.632 <br />3.434 <br />.92499 <br />40' <br />20 <br />.5050 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<br />.3961 <br />.4314 <br />1.0891 <br />2.525 <br />2.318 <br />.91822 <br />40 <br />20 <br />.5200 <br />.6088 <br />1.1707 <br />1.923 <br />1.643 <br />.85416 <br />40 <br />30 <br />.3987 <br />.4348 <br />1.0904 <br />2.508 <br />2.300 <br />.91706 <br />30 <br />30 <br />.5225 <br />.6128 <br />1.1728 <br />1.914 <br />1.632 <br />.85264 <br />30 <br />40 <br />.4014 <br />.4383 <br />1.0918 <br />2.491 <br />2.282 <br />.91590 <br />20 <br />40 <br />.5250 <br />.6168 <br />1.1749 <br />1.905 <br />1.621 <br />.85112 <br />20 <br />50 <br />.4041 <br />.4417 <br />1.0932 <br />2.475 <br />2.264 <br />.91472 <br />10 <br />50 <br />.5275 <br />.620811.177011..89611..6111..849591 <br />10 <br />66 <br />of <br />1 <br />158 <br />of <br />Eosin. <br />Cotg. <br />Cosec <br />Sec <br />Tan. <br />Sin. 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