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Ne "I <br />X. <br />Natural Trigonometrical Functions <br />Angle, Sin. Tan. See. Cosec. Cotg. Cosin. <br />Angle. Sin. Tan See. Cosec. Cotg. Cosin. . <br />O / <br />O' <br />._ <br />0 <br />0 <br />0 <br />1. <br />oo <br />CO- <br />1. <br />90 <br />8 <br />.1392 <br />.1405 <br />1.0098 <br />7.195 <br />7.115 <br />.99027 <br />82 <br />10 <br />.0029 <br />.0029 <br />1.041 <br />343.8 <br />343.8 <br />1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7:040 <br />0.968 <br />.98986 <br />50 <br />20 <br />.0058 <br />.0058 <br />1.04Z <br />171.9 <br />171.9 <br />.99998 <br />40 <br />20 <br />.1449 <br />.1465 <br />1.0107 <br />6.900 <br />6.527 <br />.98944 <br />40 <br />30 <br />.0057 <br />.0087 <br />1.042 <br />114.6 <br />114.6 <br />.99996 <br />30 <br />30 <br />.1478 <br />.1495 <br />1.0111 <br />6.766 <br />6.691 <br />.08902 <br />30 <br />40 <br />.0116 <br />.0116 <br />1.0001 <br />95.94 <br />85.94 <br />.90993 <br />20 <br />40 <br />:1507 <br />.1524 <br />1.0115 <br />6:636 <br />6.561 <br />.08958 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />63.76 <br />63.75 <br />.99989 <br />10 <br />50 <br />.1536 <br />.1554 <br />1.0120 <br />G.512 <br />6.435 <br />.98314 <br />10 <br />1. <br />.0175 <br />.0175 <br />1.0002 <br />57.30 <br />57.29 <br />.999 <br />89 <br />9 <br />:1564 <br />.1554 <br />1.0125 <br />6.394 <br />6.314 <br />.9,3769 <br />81 <br />10 <br />.0204 <br />.0204 <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 />.95723 <br />50 <br />20 <br />.0233 <br />.0233 <br />1.0003 <br />42.98 <br />42.96.90073 <br />.95459 <br />40 <br />20 <br />.1622 <br />.1644 <br />1.0134 <br />6.166 <br />6.084 <br />.9S676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38:19 <br />.0996 <br />30 <br />30 <br />.1650 <br />.1673 <br />1.0139 <br />6.059 <br />5.976 <br />.95629 <br />30 <br />40 <br />.0291 <br />.0291 <br />1.0004 <br />34.38 <br />34.37 <br />.99955 <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 />.95531 <br />10 <br />2 <br />.0349 <br />.0349 <br />1.0006 <br />23.65 <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 />20.45 <br />26.43 <br />.99929 <br />50 <br />10 <br />.1765 <br />.1793 <br />1.0160 <br />5.665 <br />5.576 <br />.95430 <br />50 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.56 <br />24.54 <br />.OD917 <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 />.043 <br />1.0010 <br />22.93 <br />22.90 <br />.09905 <br />30 <br />30 <br />.1822 <br />.1853 <br />1.0170 <br />5.485 <br />5.396 <br />.95325 <br />30 <br />40 <br />.0465 <br />.0466 <br />1.0011 <br />21.49 <br />21.47 <br />.99892 <br />' 20 <br />40 <br />:1851 <br />.1853 <br />1.0176 <br />5.403 <br />5.309 <br />.98272 <br />20 <br />50 <br />.0494 <br />.0495 <br />1.0012 <br />20.23 <br />20.21 <br />.99878 <br />10 <br />50 <br />.1580 <br />:1914 <br />1.0181 <br />5.320 <br />5.226 <br />.93215 <br />10 <br />3 <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.08 <br />.99&63 <br />87 <br />11 <br />.1903 <br />.1944 <br />1.0187 <br />5.241 <br />5.145 <br />.98163 <br />79 <br />30 <br />.0552 <br />.0553 <br />1.0015 <br />18.10 <br />18.07 <br />.99847 <br />50 <br />10 <br />.1937 <br />.1074 <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 />20 <br />.1965 <br />.2004 <br />1.019D <br />5.089 <br />4.959 <br />.95050 <br />40 <br />30 <br />.0610 <br />.0612 <br />1.0019 <br />16.38 <br />10.35 <br />.99513 <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 />1.0020 <br />15.64 <br />15.60 <br />:99795 <br />20 <br />40 <br />.2022 <br />.2065 <br />1.0211 <br />4.945 <br />4.843 <br />.97934 <br />20 <br />50 <br />.066D <br />.0670 <br />1.0022 <br />14.96 <br />14.92 <br />.90776" <br />10 <br />50 <br />.2051 <br />.2005 <br />1.0217 <br />4.577 <br />4.773 <br />.97875 <br />10 <br />4 <br />.0698 <br />.0690 <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 />.97515 <br />78 <br />10 <br />.0727 <br />.0729 <br />1.0027 <br />13.76 <br />13.73 <br />.99736 <br />50 <br />10 <br />.2108 <br />.2156 <br />1.0230 <br />4.745 <br />4.633 <br />.97754 <br />50 <br />20 <br />:0756 <br />.0758 <br />1.0029 <br />13.23 <br />13.20 <br />.00714 <br />40 <br />20 <br />.2136 <br />.21S6 <br />1:0236 <br />4.682 <br />4.574 <br />.97592 <br />40 <br />30 <br />.0785 <br />.0787 <br />1.0031 <br />12.75 <br />12.71 <br />.90692 <br />30 <br />30 <br />.2164 <br />.2217 <br />1.0243 <br />4.620 <br />4.511 <br />.97630 <br />30' <br />40 <br />.0314 <br />.0816 <br />1.0033.12.29 <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 />50 <br />.0843 <br />.084C <br />1.0030 <br />11.87 <br />11.83 <br />.09644 <br />10 <br />50 <br />.2221 <br />.2278 <br />1.0256 <br />4.502 <br />4.390 <br />.97502 <br />10 <br />6 <br />.0572 <br />.0875 <br />1:0035 <br />11.47 <br />11.43 <br />.0961985 <br />. <br />13 <br />.2250 <br />.2300 <br />1.0263 <br />4.445 <br />4.331 <br />.97437 <br />77 <br />10 <br />.0901 <br />.0904 <br />1.0041 <br />11.10 <br />11.06 <br />.99594 <br />.50 <br />10 <br />.2278 <br />.2339 <br />1:0270 <br />4.390 <br />9.275 <br />.97371 <br />50 <br />20 <br />.0929 <br />.0934 <br />1.0043 <br />i0.76 <br />10.71 <br />.99567 <br />40 <br />- 20 <br />.2300 <br />.2370 <br />1.0277 <br />4.336 <br />4.210 <br />.97304 <br />40 <br />30 <br />.0953 <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 />.0957 <br />.0992 <br />1.0049 <br />10.13 <br />10.08 <br />.99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291 <br />.232 <br />4.113 <br />.07169 <br />20 <br />50 <br />.1016 <br />.1022 <br />1.0052 <br />.839 <br />9.188 <br />.99452 <br />10 <br />50 <br />.2391 <br />.2462 <br />1.0299 <br />1.182 <br />4:061 <br />.97100 <br />10 <br />6 <br />.1045.1051 <br />.4040 <br />1.0055 <br />9.567 <br />9.514 <br />.09452 <br />84 <br />14 <br />.2419 <br />.2493 <br />1.0308 <br />4.133 <br />1.011 <br />.97030 <br />76 <br />10 <br />.1074 <br />.1080 <br />1.0055 <br />9.309 <br />9.255 <br />.99421. <br />60 <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 />4.039 <br />3.014 <br />.06SS7 <br />40 <br />30 <br />.1132 <br />.1139 <br />1.0065 <br />3.834 <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 />40 <br />.1161 <br />.1160 <br />1.0063 <br />3.614 <br />8.556 <br />.99324 <br />' 20 <br />_ 40 <br />.2532 <br />.2617 <br />1:0337 <br />3.949 <br />3.821 <br />96742 <br />20 <br />50 <br />.1190 <br />.1198 <br />1.0072 <br />8.405 <br />8.345 <br />.99390 <br />10 <br />50 <br />.2560 <br />.2648 <br />1.0345 <br />3.905 <br />3.776 <br />.96667 <br />10 <br />7 <br />,1219 <br />.1225 <br />1.0075 <br />8.206 <br />8.144 <br />.99255 <br />83 <br />15 <br />.2558 <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 />S.016 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2616 <br />.2711 <br />1.0361 <br />.822 <br />3.689 <br />.96517 <br />50 <br />20 <br />.1276 <br />.1287 <br />1.0082 <br />7.834 <br />7.770 <br />.99182 <br />40 <br />20 <br />.2644 <br />.2742 <br />1.0369 <br />3.782 <br />3.647 <br />.90440 <br />.40 <br />30 <br />.1305 <br />.1317 <br />1.0086 <br />7.661 <br />7.596 <br />.99144 <br />30 <br />30 <br />.2673 <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 />7.496 <br />7.429 <br />.99106 <br />20 <br />4D <br />.2700 <br />.2805 <br />1.03863* <br />7033.566 <br />1.621 <br />.96285 <br />20 <br />50 <br />.1363 <br />.1376 <br />1.0094 <br />7.337 <br />7.269 <br />.09067 <br />10 <br />b0 <br />.2728 <br />.2536 <br />1.03043.;65 <br />1.596 <br />3.526 <br />.96206 <br />10 <br />82 <br />O/ <br />74 <br />O/ <br />. <br />COsin. <br />Will. <br />Cosoc. <br />Sea <br />Tan. <br />Sin. Angle <br />Colin <br />Cotg. <br />Cosec. <br />Sea <br />Tan. <br />Sin. <br />Cosin. <br />Cotg. <br />Cosec. <br />Sec. <br />Tan. <br />Sin. <br />Angle <br />Cosin. <br />Cotg. <br />Cosec.- <br />Sec. <br />Tan. <br />Sin. <br />Angle <br />%1• <br />Natural Trigonometrical :Functions <br />Angle. Sin Tan. Sec. Cosec Cotg. Cosin. <br />Angle. Sin. Tan. Sea Cosec. Cotg. Cosh. <br />of <br />O / <br />._ <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 />88 <br />10 <br />.2734 <br />.2399 <br />1.041 <br />3.592 <br />3.450 <br />.96046 <br />50 <br />1 <br />.409 <br />.4487 <br />1.0961 <br />2.443 <br />2.229 <br />.91236 <br />50 <br />20 <br />.2812 <br />.2931 <br />1.04Z <br />3.65C <br />3.412 <br />.95964 <br />40 <br />20.4!? <br />.4522 <br />1.0975 <br />2.42 <br />2.211.91116 <br />.40 <br />30 <br />.2840 <br />:2962 <br />1.042 <br />3.521 <br />3.376 <br />.95882 <br />30 <br />30 <br />.414 <br />.4557 <br />1.0989 <br />2:411 <br />2.194 <br />.90996 <br />30 <br />40 <br />.2868 <br />.299 4 <br />1.043 <br />3.487 <br />4 <br />3.3 0 <br />.95799 <br />20 <br />40 <br />; 4173 <br />4' 2 <br />09 <br />1.10 4 <br />0 <br />2 .39 '2.1 <br />7 7 <br />. 90875 <br />2 0 <br />50 <br />.2896 <br />.3026 <br />1.044E <br />3.453 <br />3.305 <br />.95715 <br />10 <br />50 <br />.4300 <br />.4628 <br />1.1019 <br />2.381 <br />2.161 <br />.90753 <br />10 <br />17 <br />.2924 <br />.3057 <br />1.0457 <br />3.420 <br />3.271 <br />.95630 <br />73 <br />25 <br />.4326 <br />.4663 <br />1.1034 <br />2.366 <br />2.145 <br />.90631 <br />65 . <br />10 <br />.2952 <br />.3059 <br />1.0466 <br />3.388 <br />3.237 <br />.05545 <br />50 <br />10 <br />.4253 <br />.4699 <br />1.1049 <br />2.351 <br />2.123 <br />.90507 <br />50 <br />20 <br />.2979 <br />.3121 <br />1.0476 <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 />8.326 <br />3.172 <br />.95372 <br />30 <br />30 <br />.4305 <br />.4770 <br />1.1079 <br />2.323 <br />2.097 <br />.90259 <br />30 <br />40 <br />.3035 <br />.3185 <br />1.0495 <br />3.295 <br />3.140 <br />.95234 <br />20 <br />40 <br />:4331 <br />.4806 <br />1.1095 <br />2.309 <br />2:081 <br />.90133 <br />20 <br />50 <br />.3052 <br />.3217 <br />V.0505 <br />3.265 <br />3.108 <br />.95195 <br />10 <br />50 <br />.4358 <br />.4841 <br />1.1110 <br />2.295 <br />2.06G <br />.90007 <br />10 <br />18 <br />.3090 <br />.3249 <br />1.0515 <br />3.236 <br />3.078 <br />.9510672 <br />26 <br />.4333 <br />.4577 <br />1.1126 <br />2.231 <br />2.050 <br />.89879 <br />G4 <br />10 <br />.3118 <br />.3251 <br />1.0525 <br />3.207 <br />3.048 <br />.05015 <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 />3.170 <br />3.018 <br />.94924 <br />40 <br />20 <br />.4436 <br />.4950 <br />1.1158 <br />2.254 <br />2.620 <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 />2.241 <br />2.006 <br />.89493 <br />30 <br />40 <br />.3201 <br />.3378 <br />1.0555 <br />3.124 <br />2.960 <br />.04740 <br />20 <br />40 <br />.4483, <br />.5022 <br />1.1190 <br />2.228 <br />1.991 <br />.89363 <br />20 <br />50 <br />.3228 <br />:3411 <br />1.0566 <br />3.095 <br />2.932 <br />.94646 <br />10 <br />`60 <br />.4514 <br />.5050 <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 />904 <br />.94552 <br />71 <br />27 <br />.4590 <br />.5095 <br />1.1223 <br />.203 <br />1.963 <br />:8U101 <br />63 - <br />10.3283.34761.05873.046.877.94457 <br />50 <br />10.4568.51321.1240?.1901.949.88963 <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 />3.1781.935 <br />.88835 <br />40 <br />30 <br />.3333 <br />.3541 <br />1.0608 <br />2.096 <br />.824 <br />.94264 <br />30 <br />30 <br />.4017 <br />.5206 <br />1.1274 <br />1.166 <br />1.921 <br />.88701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0619 <br />2.971 <br />.795 <br />.94167 <br />20 <br />40 <br />.4643 <br />.5243 <br />1.1291 <br />LIM <br />1.907 <br />.88566 <br />20 <br />50 <br />.3393 <br />.3607 <br />1.0631 <br />.947 <br />.773 <br />.94068 <br />10 <br />50 <br />.4669^.5280 <br />1.1308 <br />3.142 <br />1.594 <br />.83431 <br />10 <br />20 ..3420 <br />.3640 <br />1.0642 <br />2.924 <br />.747 <br />.9396970 <br />28 . <br />.4695 <br />.5317 <br />1.1326 <br />2.130 <br />L SSI <br />88295 <br />62 <br />10 <br />.3448 <br />.3673 <br />1.0653 <br />2.900 <br />1.723 <br />.93569 <br />.50 <br />'10 <br />.4720 <br />.5354 <br />1.1343 <br />2.119 <br />1.568 <br />.88158 <br />50 <br />20 <br />.3475 <br />.3706 <br />1.0665 <br />.873 <br />.699 <br />.93769 <br />40 <br />20 <br />.4714 <br />.6392 <br />1.1361 <br />.107 <br />1:855 <br />.38020 <br />40 <br />30 <br />.3502 <br />.3739 <br />1.0676 <br />2.356 <br />.675 <br />.93667 <br />30 <br />30 <br />.4712 <br />.5430 <br />1.1379 <br />2.090 <br />1.842 <br />.37832 <br />.30 <br />40 <br />.3.529 <br />.3772 <br />1.06882.833 <br />1.651 <br />.93565 <br />20 <br />40 <br />ANY <br />.5467 <br />1.1397 <br />2.0851.829 <br />.87743 <br />20 <br />50 <br />.3557 <br />.3505 <br />1.0700 <br />2.811 <br />.628 <br />.93462 <br />10 <br />50 <br />.4323 <br />.5505 <br />1.1415 <br />2.073 <br />1.816 <br />.87603 <br />10 <br />21-' <br />.3534 <br />.3539 <br />1.07112.790 <br />'.605 <br />.93358 <br />69 <br />29 <br />.4843 <br />.5543 <br />1.1434 <br />3.06$ <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 />2.052 <br />1.792 <br />.87321 <br />50 <br />.20 <br />.3638 <br />:3906 <br />1.073G <br />2.749 <br />.560 <br />.93148 <br />40 <br />20 <br />.4599 <br />.5619 <br />1.1471 <br />2.041 <br />1.780 <br />.87178 <br />40 <br />3D <br />.3665 <br />.3939 <br />1.0748 <br />2.720 <br />.539 <br />.93042 <br />30 <br />30 <br />.494 <br />.5658 <br />1.1490 <br />2.031 <br />L767 <br />.87036 <br />30 <br />40 <br />.3692 <br />.3973 <br />1.0760 <br />2.709 <br />2.517 <br />.92935 <br />20 <br />40 <br />.4U.1D <br />.5696 <br />1.1509 <br />3.020 <br />1.756 <br />.86892 <br />20 <br />50 <br />3719 <br />.40OG <br />1.0773 <br />2.659 <br />3.490 <br />.92827 <br />10 <br />50 <br />.4985 <br />.5735 <br />1.1528 <br />21.010 <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 />.56603 <br />60 <br />10 <br />.3773 <br />.4074 <br />1.0798 <br />2.G50 <br />2.455 <br />.92609 <br />50 <br />10 <br />.5625 <br />.5812 <br />1.1566 <br />1.090 <br />1.720 <br />.56457 <br />50 <br />20 <br />.2800 <br />.4108 <br />1.08112.632 <br />2.434.92499 <br />40 <br />' 20 <br />.5050 <br 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<br />.4314 <br />1.0891 <br />2.525 <br />2.318 <br />.91822 <br />40 <br />20 <br />.5200 <br />.6058 <br />1.1707 <br />1::1311 <br />.643 <br />.3541G <br />40 <br />30 <br />.3937 <br />.4348 <br />1.0904 <br />2.508 <br />.300 <br />.01706 <br />30 <br />30 <br />.5^25 <br />:6128 <br />1.1723 <br />114 <br />1.832 <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 />.650 <br />.616811.1749 <br />1.905 <br />1.621 <br />.55112 <br />20 <br />50 <br />.4041 <br />.4417 <br />1.0932 <br />2.475 <br />2.264 <br />.91472 <br />10 <br />50 <br />.5?75 <br />.!208 <br />1.1770 <br />1.596 <br />1.611 <br />.84959 <br />10 <br />66 <br />/ <br />58. <br />Angle <br />. <br />COsin. <br />Will. <br />Cosoc. <br />Sea <br />Tan. <br />Sin. 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