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S <br />Natural Trigonometrical Functions <br />Angle. Sin. Tan. See. Cosec Cotg. Cosin. <br />Angle. Sin. Tan. Sec. Cosee. Call. Cosies <br />O � <br />o• <br />0 <br />0 <br />0 , <br />1. <br />oo <br />00 <br />1. <br />90 <br />8 <br />.1392 <br />.1405 <br />1.0098 <br />7.155 <br />7.115 <br />.990-782 <br />6.5 <br />10 <br />.0029 <br />.0029 <br />• <br />343.8343.8 <br />3.450 <br />1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.968 <br />.98986 <br />50 <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 />M944 <br />40 <br />30 <br />.0087 <br />.0087 <br />- . <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 />.93902 <br />30 <br />40 <br />. C I I B <br />.0116 <br />1.0001 <br />85.94 <br />85.94 <br />.99993 <br />20 <br />40 <br />.1507 <br />.1524 <br />1.0115 <br />6.636 <br />6.561 <br />.05858 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />68.78 <br />68.75 <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 />.99935 <br />89 <br />9 <br />.1564 <br />.1584 <br />1.0125 <br />6.394 <br />6.314 <br />.93769 <br />8l <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49.11 <br />49.10 <br />.09970 <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />6.277 <br />6.107 <br />.08723 <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 />6.054 <br />.93676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />33.20 <br />38.19 <br />.99966 <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 />.99058 <br />20 <br />40 <br />.1679 <br />.1703 <br />1.0144 <br />5.955 <br />5.571 <br />.985S0 <br />20 <br />50.0320 <br />.3062 <br />.0320 <br />1.0005 <br />31.26 <br />31.24 <br />.99049 <br />10 <br />50 <br />.1708 <br />.1733 <br />1.0149 <br />5.855 <br />5.7G9 <br />.93531 <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 />.9S481 <br />80 <br />10 <br />.0378 <br />.0378 <br />1.0007 <br />26.45 <br />26.43 <br />.09929 <br />50 <br />10 <br />.1765 <br />.1793 <br />1.0160 <br />5.665 <br />5.576 <br />.98430 <br />50 <br />20 <br />10407 <br />.0407 <br />1.0008 <br />24.56 <br />24.54 <br />.99917 <br />40 <br />20 <br />.1794 <br />.1323 <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 />.1353 <br />1.0170 <br />5.458 <br />5.396 <br />.95325 <br />30 <br />40 <br />.0465 <br />.0466 <br />1.0011 <br />21.49 <br />21.47 <br />.99502 <br />20 <br />40 <br />.1851 <br />.1833 <br />1.0176 <br />5.403 <br />5.309 <br />.95272 <br />20 <br />50 <br />.0494 <br />.0495 <br />1.0012 <br />20.23 <br />20.21 <br />.09878 <br />10 <br />50 <br />.1850 <br />.1914 <br />1.0181 <br />5.320 <br />5.22G <br />.08216 <br />10 <br />3 <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.08 <br />.99563 <br />87 <br />11 <br />.1003 <br />.1944 <br />1.0187 <br />5:2415.145 <br />1.963 <br />.95163 <br />79 <br />10 <br />.0552 <br />.0553 <br />1.0015 <br />15:10 <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 />.05S1 <br />.0532 <br />1.0017 <br />17.20 <br />17:17 <br />.99531 <br />40 <br />20 <br />.1065 <br />.2004 <br />1.0199 <br />5.039 <br />4.989 <br />.93050 <br />40 <br />30 <br />.0610 <br />.0012 <br />1.0019 <br />16:3S <br />16.35 <br />.99813 <br />30 <br />30 <br />.1094 <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 />.99705 <br />20 <br />40 <br />.2022 <br />.2065 <br />1.0211 <br />4.945 <br />4.843 <br />.07934 <br />20 <br />50 <br />.0669 <br />.0670 <br />1.0022 <br />14.96 <br />14.02 <br />.99776 <br />10 <br />50 <br />.2051 <br />.2095 <br />1.0217 <br />4.877 <br />4.773 <br />.07575 <br />10 <br />4 , <br />.0695 <br />.OG99 <br />1'.0024 <br />14.34 <br />14.30 <br />.99756 <br />88 <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 />.2103 <br />.2156 <br />.0230 <br />4.745 <br />4.633 <br />.97754 <br />50 <br />20 <br />.075G <br />.0753 <br />1•.0020 <br />13.23 <br />13.20 <br />.09714 <br />40 <br />20 <br />.2136 <br />.2138 <br />1.0336 <br />4.682 <br />4.574 <br />.07692 <br />40 <br />30 <br />.0785 <br />.07S7 <br />1.0031 <br />12.75 <br />12.71 <br />.99692 <br />30 <br />30 <br />.21fr4 <br />.2217 <br />1.02434.6204.511 <br />.006 <br />LS42 <br />,976330 <br />30 <br />40 <br />.0314 <br />.OSIG <br />1.0033 <br />12.29 <br />12.25 <br />.99663 <br />,20 <br />40 <br />.2193 <br />.2247 <br />1.0249 <br />4.560 <br />4.449 <br />.97566 <br />20 <br />50 <br />.0843.08.1 <br />.3SO5 <br />1.0036 <br />11.87 <br />11.83 <br />.0964 <br />10 <br />50.2221 <br />.4823 <br />.2278 <br />1.0256 <br />4.502 <br />4.390 <br />.97502 <br />10 <br />5 <br />.0572 <br />.0875 <br />1.0033 <br />11.47 <br />11.43 <br />.99619 <br />85'. <br />13 <br />.2250 <br />.2309 <br />1.0263 <br />4.445 <br />4.331 <br />,97437 <br />77 <br />10 <br />.0001 <br />.0904 <br />1.0041 <br />11.10 <br />11.06 <br />.99594 <br />50 <br />10 <br />.2273 <br />.2339 <br />1.0270 <br />4.390 <br />4.275 <br />.07371 <br />50 <br />20 <br />.0929 <br />.0934 <br />1.0043 <br />10.76 <br />10.71 <br />.99567 <br />40 <br />20 <br />.2306 <br />.2370 <br />1.0277 <br />4.336 <br />4.219 <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 />1.0234 <br />4.284 <br />4,165 <br />.97237 <br />30 <br />40 <br />.0957 <br />.0902 <br />1.0049 <br />10.13 <br />10.08 <br />.09511 <br />20 <br />40 <br />.2363 <br />.2452 <br />1.0291 <br />4,232 <br />4.113 <br />.97169 <br />20 <br />50 <br />.1016 <br />.1022 <br />LOON <br />.830 <br />0.758 <br />.09482 <br />10 <br />50 <br />.2391 <br />.2162 <br />1.0299 <br />.182 <br />4.061 <br />.97100 <br />10 <br />6 <br />.1045 <br />.1051 <br />1.0055 <br />9.567 <br />9.514 <br />.99452 <br />84 <br />14. <br />.2419 <br />.2493 <br />140306 <br />4.133 <br />4.011 <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 />M390 <br />40 <br />20 <br />.2476 <br />.2555 <br />1.0321 <br />1.039 <br />.914 <br />.96SS7 <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 />.2556 <br />1.0329 <br />3.994 <br />3.567 <br />.96315 <br />30 <br />40 <br />.1161 <br />.1169 <br />1.0063 <br />3.614 <br />8.556 <br />.99324 <br />20 <br />40 <br />.2532 <br />.2G17 <br />1.0337 <br />3,949 <br />3.821 <br />96742 <br />20 <br />50 <br />.1190 <br />.1105 <br />1.0072 <br />8.405 <br />8.345 <br />.99290 <br />10 <br />50 <br />.2560 <br />.2643 <br />1.0345 <br />3.906 <br />3.776 <br />.96067 <br />30 <br />7 <br />.1219 <br />.1228 <br />1.0075 <br />3.206 <br />8.144 <br />.99255 <br />83 <br />15 <br />.2589 <br />.2670 <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 />3.822 <br />3.689 <br />.06517 <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 />3.752 <br />3.647 <br />.96440 <br />40 <br />30 <br />.1305 <br />.1317 <br />LOOM <br />7.661 <br />7.596 <br />.99144 <br />' 30 <br />30 <br />.2672 <br />.2773 <br />1.0377 <br />3.742..606 <br />1.632 <br />.96363 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0000 <br />7.496 <br />7.429 <br />.99106 <br />20 <br />40 <br />.2700 <br />.2805 <br />1.0386 <br />3.703 <br />3.566 <br />.06285 <br />20 <br />50 <br />.1363 <br />.1376 <br />1.0094 <br />7.337 <br />7.269 <br />.99067 <br />10 <br />50 <br />.2723 <br />.2336 <br />1:0394 <br />3.665 <br />3.526 <br />.96206 <br />10 <br />2 <br />or <br />74 <br />o� <br />Costa. <br />Costa. <br />Cotg. <br />Cosec <br />Sec. <br />Tan. <br />Sin. <br />Angle <br />Cotg. <br />Cosin. <br />Cotg. <br />Cosec. <br />Sea <br />Ten. <br />Sin. <br />Angle <br />. SI <br />Natural Trigonometrical Functions <br />Angle. Sin. Tan. See. Cosec Cotg. Cosin. <br />Angle. Sin. Tan. Sec. Cosec. Co1g. Cosin. <br />a2 <br />of <br />16' <br />.2756'.2867 <br />1.0403 <br />3.628 <br />3.457 <br />.96126 <br />74. <br />24 <br />.4067 <br />.44152 <br />1.0946 <br />2.4-50 <br />2.246 <br />.91355 <br />6.5 <br />10 <br />.2784 <br />.2899 <br />1.0412 <br />3.592 <br />3.450 <br />.96046 <br />50 <br />10 <br />.4094 <br />.4457 <br />1.0961 <br />2.443 <br />2.229 <br />.91230 <br />50 <br />20 <br />:2512 <br />.2931 <br />1.0423 <br />3.556 <br />3.412 <br />.95964 <br />40 <br />20 <br />.4120.4522 <br />1.0975 <br />2.427 <br />2.211 <br />.91116 <br />40 <br />30 <br />.2340 <br />:2962 <br />1.0429 <br />3.521 <br />3.37G <br />.95832 <br />30 <br />30 <br />.4147 <br />.4557 <br />1.0959 <br />2.4112.194 <br />.90996 <br />30 <br />.40 <br />.2868 <br />.2994 <br />LOW <br />3.487 <br />3.340 <br />.05799 <br />20 <br />40 <br />.4173 <br />.45921.10D42.39fi2.177 <br />.90876 <br />20 <br />50 <br />.2596 <br />.3026 <br />1.0448 <br />3.453 <br />3.305 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4623 <br />1.1019 <br />2.331 <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 />.4226 <br />.4663 <br />1.1034 <br />2.366 <br />2.145 <br />.90631 <br />85 <br />10 <br />.2952 <br />.3059 <br />1.0466 <br />3.388 <br />3.237 <br />.95545 <br />50 <br />10 <br />.4253 <br />.4699 <br />1.1049 <br />2.3512.123 <br />.00507 <br />50 <br />20 <br />.2979 <br />AM <br />1.0476 <br />3.3357 <br />3.204 <br />.95459 <br />40 <br />20 <br />.4279 <br />.4 M <br />1.1064 <br />2.337 <br />2.112 <br />.90383 <br />40 <br />"0 <br />.3007 <br />.3153 <br />1.0485 <br />3.326�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 />1.0405 <br />3.2D5 <br />3.140 <br />.95284 <br />20 <br />40 <br />.4331I.4SOO <br />1.1095 <br />2.309 <br />2.081 <br />.90133 <br />20 <br />50 <br />.3062 <br />.3217 <br />1.0505 <br />3.265 <br />3.108 <br />.95195 <br />10 <br />50 <br />.43358 <br />.4541 <br />1.1110 <br />2.21J5 <br />2.066 <br />.90007 <br />10 <br />18 <br />.3000 <br />.32.101.0515 <br />3.236 <br />3.078 <br />.95106 <br />72 <br />28 <br />.4334 <br />.4577 <br />1.1126 <br />2.281 <br />2.050 <br />.89879 <br />64 <br />1G <br />.3118 <br />.3281 <br />1 .0.525 <br />3.2013.043 <br />.05015 <br />50 <br />10 <br />.4410 <br />.4013 <br />1.1142 <br />2.265 <br />2.035 <br />.897.52 <br />50 <br />20 <br />.3145 <br />.3314 <br />1.0535 <br />3.179 <br />8.018 <br />.94924 <br />40 <br />20 <br />.4436 <br />.4950 <br />1.1158.2.254 <br />2.020 <br />.89623 <br />40 <br />30.3173.33.161.054513.1522.950.94532 <br />3O <br />SO.4462.49561,117.12.2412.006.89493 <br />30 <br />40 <br />.3201 <br />.337S <br />1.05553.1242.960 <br />.04740 <br />20 <br />401.4483.5023 <br />1.11902.2251.991 <br />.89363 <br />20 <br />50 <br />.3228.3.4111.05663.0982.032.94G16 <br />10 <br />50 <br />.4.514 <br />.5059�1 <br />.1207 <br />2.215 <br />1.977 <br />S9232 <br />10 <br />19 <br />.3256 <br />.340:1:0576 <br />3.07212.904 <br />.9455271 <br />27 <br />.4540 <br />.5095 <br />1. 1223 <br />.203 <br />1.963 <br />.80101 <br />63 <br />10 <br />.32,83 <br />.3-176 <br />1_05573.046"2.877 <br />.94357 <br />50 <br />10 <br />.4566.51321.12401..1001.040 <br />jI1.1257 <br />.55963 <br />0 <br />20 <br />.3•",11 <br />.3503 <br />1.0595 <br />.020.550 <br />.94361 <br />40 <br />20 <br />.4592 <br />.51C9 <br />F� 178 <br />1.935 <br />.38835 <br />40 <br />.30.3338.35411.06082.906.824.91°64 <br />30 <br />30.4617.520611.1274jj"2.1661.921.58701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0619 <br />2.9712 <br />.795 <br />.04167 <br />2040 <br />.4613 <br />.524211.1291G1.154I1.907 <br />.88566 <br />20 <br />50 <br />.3393 <br />.2607 <br />.0631 <br />2.9472.773 <br />.94068 <br />10 <br />60 <br />.4669 <br />.5250 <br />1-13052.142 <br />1.594 <br />.85431 <br />10 <br />20 <br />.3420 <br />.3640 <br />1.0642 <br />2-M2 <br />.747 <br />.939G9 <br />70 <br />29 <br />.4695 <br />.5317 <br />1,1326 <br />2.130 <br />1.S.1 <br />.SS205'62- <br />10.3448.36731.06532.9002.723.93869 <br />50 <br />10.4720.53541_1343:.1191.863.SS15S <br />50 <br />20 <br />.3475 <br />.3706 <br />1.0665 <br />2.87S�1.699 <br />.03769 <br />40 <br />20 <br />.4746 <br />.5392 <br />1.1361 <br />1.107 <br />1.855 <br />.85020 <br />40 <br />30 <br />.3502 <br />.37391.067619.856.r <br />.675 <br />.93667 <br />30 <br />301.4772 <br />.5130 <br />1.1379 <br />.006 <br />LS42 <br />.57553 <br />30 <br />40 <br />.3529 <br />.3772 <br />1.G688 <br />9 $33"'.651 <br />.93565 <br />20 <br />40 <br />.4791 <br />5467 <br />1.1397 <br />OS- <br />I.S29 <br />.57743 <br />20 <br />50 <br />.0557 <br />.3SO5 <br />1.0700 <br />2.sit <br />' <br />.628 <br />.934 62 <br />10 <br />50 <br />.4823 <br />.5505 <br />1.141 .5 <br />.073 <br />1.816 <br />.37603 <br />10 <br />21 <br />.3554 <br />.3539 <br />.071112 <br />No <br />2. GD5 <br />.93353 <br />59 <br />29 <br />.4543 <br />.5543 <br />1.1434 <br />2.063 <br />1.804 <br />.37462 <br />61 <br />10 <br />.3611 <br />.3,972 <br />1.0723 <br />2.769 <br />2.533 <br />.03253 <br />50 <br />10 <br />.487- <br />.5551 <br />1.1452 <br />2.052 <br />1.792 <br />.57321 <br />50 <br />20 <br />.363S <br />.3906 <br />1.0736 <br />2.740 <br />.560 <br />.93145 <br />40 <br />20 <br />.4599 <br />.5619 <br />1.1471 <br />2.0,11 <br />1.780 <br />.87175 <br />40 <br />30.3655.3939L07482.729x.539.93042. <br />30 <br />30.4924.56551_14902.631'1.767.S7036 <br />30 <br />40 <br />.3692 <br />.3973 <br />1.0760 <br />2.709.517 <br />.92935 <br />20 <br />40 <br />.4950 <br />.5696 <br />1.1509 <br />2.020 <br />1.750 <br />.8GS92 <br />20 <br />50 <br />.3719 <br />.4006 <br />1.0773 <br />2.GS9 <br />2.406 <br />.92827 <br />10 <br />50 <br />.4975 <br />.5735 <br />1.1525 <br />2.010 <br />1.744 <br />.56748 <br />10 <br />22 <br />.3746 <br />.4040 <br />LOM <br />2.670 <br />2.475 <br />.92715 <br />60 <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 />2.650 <br />2.455.92609 <br />50 <br />10.5025.55121.15661.900L720.S6457 <br />50 <br />20 <br />.3,900 <br />.4108 <br />1.0811 <br />2.632 <br />2.434 <br />.92499 <br />40 <br />20 <br />.5050 <br />.5551 <br />1.15Sf2 <br />1.950 <br />1.709 <br />.86310 <br />40 <br />30 <br />.3927 <br />.4142 <br />1.0324 <br />2.613'2.414 <br />.02353 <br />30 <br />30 <br />.5075 <br />.5SJ0 <br />1.1606 <br />1.970 <br />1.698 <br />.56163 <br />30 <br />40 <br />.3854 <br />.4176 <br />1.0837 <br />2.593 <br />2.394 <br />92276 <br />20 <br />40 <br />.6100 <br />9930 <br />1.1626 <br />t.961 <br />1.636 <br />.86015 <br />20 <br />50 <br />.3581 <br />.4210 <br />1. OS50 <br />2.577 <br />2.375 <br />.02164 <br />10 <br />50 <br />.5125 <br />.5969 <br />1.1646 <br />L9511.675 <br />.85566 <br />10 <br />23 <br />.3907 <br />.4245 <br />1.0564 <br />1_.559 <br />2.356 <br />:02050 <br />V <br />31 <br />.5150 <br />.6009 <br />1.1666 <br />1.942 <br />1.664 <br />.55717 <br />59 <br />10 <br />.3934 <br />.4279 <br />1.08772.542'.337 <br />.`51936 <br />50 <br />10 <br />.5175 <br />.604S <br />1.1687 <br />1.0321653 <br />:85567 <br />50 <br />20 <br />.3961 <br />.4314 <br />1.0391 <br />2.525 <br />2.318 <br />.01522 <br />40 <br />20 <br />.5200 <br />.6033 <br />1.1707 <br />1.02;11.G43 <br />.85416 <br />40 <br />30 <br />.3987 <br />.4348 <br />1.0904 <br />2.509 <br />2.300 <br />.91706 <br />30 <br />30 <br />.5225 <br />.6125 <br />1.1728 <br />191- <br />1.632 <br />.85264 <br />30 <br />40 <br />.4014 <br />.4383 <br />1.0018 <br />2.491 <br />1252 <br />.91500 <br />20 <br />40.5250 <br />.6165 <br />1.1740 <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 />.6205 <br />1.1-,7011.S9611.611 <br />.94959 <br />10 <br />66 <br />of <br />5$ <br />o� <br />Costa. <br />Celli. <br />Cosec. <br />Sec. 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