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X. <br />Natural Trigonometrical. Functions <br />Angle. Sin. Tao. Sec. Cosec. Colg. Cosin. <br />Angle. Sin. Tan. Sec, Cosec, Catg. Ca8111. <br />a I <br />o ! <br />o' <br />16 <br />9 <br />0 <br />0 <br />1. <br />6o <br />00 <br />1. <br />80 <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 />.90046 <br />343.8 <br />343.8 <br />1. <br />30 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.968 <br />AMC50 <br />.2931 <br />20 <br />,0053 <br />.0058 <br />40 <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 <br />.0087 <br />30.4147.45571,09892.4112.194.90090 <br />114.6114.5 <br />.99996 <br />30 <br />•30 <br />.1478 <br />.1495 <br />1.0111 <br />6.766 <br />5.691 <br />,98902 <br />30 <br />40 <br />.0116.0116 <br />- 40 <br />1.0001 <br />85.0485, <br />94 <br />.99993 <br />. 20 <br />40 <br />.1507 <br />.1524 <br />1.0115 <br />6.634 <br />6.561 <br />.98858 <br />20 <br />50 <br />.0145 <br />,0145 <br />1.0001 <br />G8.76 <br />68.75 <br />.9998 <br />10 <br />50 <br />.1536 <br />.1554 <br />t.0120 <br />6.612 <br />5.435 <br />,9SS14 <br />10 <br />1 <br />.0175 <br />.0175 <br />1.0002 <br />57.30 <br />57.29 <br />.9998' <br />89 <br />9 <br />.1564 <br />.1584 <br />10125 <br />6.304 <br />6.314 <br />,98769 <br />81 <br />10 <br />.0204 <br />;0204 <br />1.0002 <br />40,11 <br />40.10 <br />.09970 <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />6.277 <br />6:107 <br />,98723 <br />50 <br />20 <br />.0233 <br />.0233 <br />1.0003 <br />42.98 <br />42.96 <br />.90973 <br />40 <br />20 <br />.1622. <br />1644 <br />1.0134 <br />6.166 <br />6.084 <br />.95676 <br />40 <br />30 <br />,0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.99,)66 <br />30 <br />30 <br />.1650 <br />.1G73 <br />1.0139 <br />6.059 <br />5.976 <br />.98629 <br />30 <br />40 <br />.0291 <br />.0291 <br />1.0004 <br />34.38 <br />34.87 <br />.99958 <br />20 <br />40 <br />.1679 <br />.1703 <br />1.01445.9 <br />55 <br />5.871 <br />.08580 <br />20 <br />50 <br />.0320 <br />.0320 <br />1.0005 <br />31.20 <br />3124 <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 />23.64 <br />'.99939 <br />88 <br />10 <br />.1736 <br />.1702 <br />1.0154 <br />5.759 <br />5,611 <br />,98481 <br />80 <br />10 <br />.0378 <br />.0378 <br />1.0007 <br />26.45 <br />26.43 <br />.0999-9 <br />50 <br />10 <br />.1765 <br />.1793 <br />1.0160 <br />5.665 <br />5,676 <br />.98430 <br />50 <br />20 <br />.0407 <br />.0407 <br />1:0008 <br />24.56 <br />24.54 <br />.99917 <br />40 <br />20 <br />.1794 <br />.1823 <br />1.0165 <br />5.575 <br />5.485 <br />:98.378 <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 />1,01705.4M <br />5.396 <br />.98325 <br />30 <br />40 <br />0465 <br />.()46C <br />1.0011 <br />21.49 <br />21.47 <br />.99892 <br />20 <br />40 <br />.165t <br />.1883 <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 />.1680 <br />.1914 <br />1.0181 <br />5.320 <br />5.220 <br />.98218 <br />10 <br />3 <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.08 <br />.99853 <br />87 <br />11 <br />:1908 <br />.1944 <br />1.0187 <br />5.241 <br />5.145 <br />.98i63 <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 />17.20'17.17 <br />.99831 <br />40 <br />20 <br />.1965 <br />.2004 <br />1.0199 <br />5.089 <br />4.989 <br />.98050 <br />40 <br />30 <br />.0610 <br />.OG12 <br />1.0019 <br />16.38 <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 />15.04 <br />15.60 <br />.09795 <br />20 <br />40 <br />.2022 <br />.2065 <br />1.0211 <br />4.945 <br />i.S43 <br />,97934 <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 />.2005 <br />1.0217 <br />4.877 <br />1.773 <br />.97875 <br />10 <br />4 <br />.0693 <br />.0699 <br />1.0024 <br />14.34 <br />14.30 <br />.99756 <br />86 <br />12 <br />.2079 <br />.2120 <br />1.0223 <br />4,810 <br />4.705 <br />.97815 <br />78 <br />10 <br />.0727 <br />.0729 <br />1:0027 <br />13.74 <br />13.73 <br />.9973 6 <br />50 <br />• 10 <br />.2108 <br />.2156 <br />1.0230 <br />4,745 <br />4,W <br />,97754 <br />50 <br />20 <br />.0755 <br />.0758 <br />1'.0020 <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'.99692 <br />2.811 .628.93462 <br />30 <br />30 <br />.2164 <br />.2217 <br />1:0243 <br />4,620 <br />4.511 <br />.97630 <br />30 <br />40 <br />.0514 <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 />.560 <br />4,449 <br />,97566 <br />20 <br />50 <br />.0843 <br />.0846 <br />1.0036 <br />11.81 <br />11.83 <br />,99644 <br />10 <br />50 <br />.2221 <br />.2273 <br />1.0256 <br />4,602 <br />4.390 <br />.91502 <br />10 <br />5 <br />:0872 <br />.0875 <br />1.0038 <br />11.47 <br />11.43 <br />.99619 <br />85 <br />.13 <br />.2250 <br />.2360 <br />1.0263 <br />4.445 <br />4.331 <br />.97437 <br />77 <br />10.0901.09041,004111.1011.06.90594 <br />1.0743 <br />2,729 .539 <br />.93042 <br />30 <br />30 <br />.4924 <br />50 <br />10.2278.23391.02704.3904,275,97371 <br />2.031 <br />1,767 <br />.87036 <br />30 <br />40 <br />.3692 <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 />.0958 <br />.0953 <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 />10.13 <br />10.08 <br />.99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291 <br />.232 <br />4,113 <br />.99169 <br />20 <br />50 <br />.1016 <br />.1022 <br />1.0052 <br />0.830 <br />9.788 <br />.99482 <br />10 <br />50 <br />.2391 <br />.2462 <br />1.0290 <br />.182 <br />4.061 <br />.97100 <br />10 <br />6 <br />.1045 <br />.10511.0055 <br />1.1586 <br />9.567 <br />9.514 <br />:99452 <br />84 <br />14 <br />.2419 <br />.2493 <br />t, 0306 <br />.133 <br />.011 <br />.97030 <br />76 <br />10 <br />.1074 <br />.1080 <br />1.0055 <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 />.90959 <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 />.914 <br />.96887 <br />40 <br />30 <br />.1132 <br />.1189 <br />1.00G5 <br />8.834 <br />8.777 <br />.90357 <br />30 <br />30 <br />.2504 <br />.2586 <br />1,0329 <br />.994 <br />3.867 <br />.96815 <br />30 <br />40 <br />.1101 <br />.1169 <br />1.0063 <br />3.614 <br />6.556 <br />.99324 <br />20 <br />40 <br />.2532 <br />.2617 <br />1.0337 <br />.949 <br />3:821 <br />96742 <br />20 <br />50 <br />,1190 <br />.1198 <br />1.0072 <br />8.405 <br />8.345 <br />.99290 <br />10 <br />50 <br />.25GO <br />.2643 <br />1.0345 <br />.906' <br />.776 <br />.966117 <br />10 <br />7 <br />.1219 <br />.1228 <br />1.0075 <br />3.200 <br />8,144 <br />.99255 <br />63 <br />15 <br />,2583 <br />.2579 <br />1.0353 <br />3.8613.732 <br />1.914 <br />.96593 <br />75 <br />10 <br />.1248 <br />.1257 <br />1.0070 <br />8.016 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2615 <br />.2711 <br />1.0361 <br />.822 <br />3.689 <br />.96517 <br />SO <br />20 <br />.1276 <br />.1287 <br />1.0082 <br />7.834 <br />7.770 <br />.99182 <br />. 40 <br />20 <br />2G443.605 <br />1.1770 <br />1.0369 <br />3.782 <br />3,047 <br />.96440 <br />40 <br />30 <br />.1305 <br />,1317 <br />1.0086 <br />7.6617:606 <br />65 <br />W <br />.99144 <br />30 <br />30 <br />.2572 <br />.2773 <br />1.0371 <br />.742 <br />3.605 <br />.903&3 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0090 <br />.406 <br />7.429 <br />.99106 <br />20 <br />40 <br />,2700 <br />.2805 <br />1.0388 <br />3.703 <br />3.566 <br />.96285 <br />20 <br />50 <br />.1363 <br />.1376 <br />1.0094 <br />.337 <br />7.269 <br />.99067 <br />lO <br />50 <br />.2728 <br />.2836 <br />1.0394 <br />3.065 <br />3.526 <br />.90206 <br />10 <br />82 <br />74 <br />C-Wn. <br />Cotg. <br />Cosec. <br />Sec. <br />Tan. <br />Sin. <br />Angle <br />Casin. <br />Catg. <br />Cases. <br />Sec, <br />Tan. <br />Stn. <br />Angie <br />fi. <br />Natural Trigonometrical Functions <br />xr- <br />Angle. Sin. Tan. Sec. Cosec. Cotg. Cosin. ' <br />Angle. Sin. Ten. Sec. Cosec. Colo. Cosh. <br />o ! <br />o ! <br />16 <br />.2756 <br />.2867 <br />1.0403 <br />3,628 3.487 <br />.96126 <br />74 <br />24 <br />,4067 <br />.4452 <br />1.0946 <br />2.459 <br />2.246 <br />.91355 <br />68 <br />10 <br />.2784 <br />2899 <br />1.0412 <br />3.592 3.450 <br />.90046 <br />' 50 <br />10 <br />.4094 <br />,4487{{1.0961 <br />2.443 <br />2.229 <br />.91236 <br />- 50 <br />20 <br />.2812 <br />.2931 <br />1.042 <br />3.556 3.412 <br />,95964 <br />40 <br />20 <br />,4120 <br />.45221 <br />10975 <br />2.427 <br />2.211 <br />.91116 <br />40 <br />30 <br />.2840 <br />.2952 <br />1.042 <br />3.521 3.UG <br />.05882 <br />30 <br />30.4147.45571,09892.4112.194.90090 <br />30 <br />40 <br />.2368 <br />,2994 <br />1.0438 <br />3.487 3.340 <br />.95799 <br />20 <br />- 40 <br />.4173 <br />.4592 <br />1.1004 <br />2.396 <br />2,177 <br />.90375 <br />20 <br />50 <br />.2396 <br />.3026 <br />1.044 <br />3.453 3.305 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4628 <br />1.1.019 <br />2.381 <br />2.161 <br />.90753 <br />10 <br />17 <br />.2924 <br />.3057 <br />1.0457 <br />3.420 3.271 <br />,95630 <br />73 <br />25 <br />.4226 <br />.4663 <br />1.1034 <br />2.n6G <br />2.145 <br />.90531 <br />65 <br />10 <br />.2952 <br />.3089 <br />1, 0466 <br />3.388 3.237 <br />.9a545 <br />-50 <br />10 <br />.4253 <br />, 46991 <br />_ 1049 <br />2.3512.1.28 <br />.90507 <br />50 <br />20 <br />,2979 <br />.3121 <br />1-0476 <br />3.357 3.204 <br />.95459 <br />40 <br />20 <br />.4279 <br />.4734 <br />1.1004 <br />2.337 <br />2.112 <br />.90383 <br />40 <br />30 <br />.3007 <br />.3153 <br />1.0485 <br />3.32E 3.172 <br />.90072 <br />30 <br />30 <br />.4305.47701.1079 <br />2.223 <br />2.097 <br />.90259 <br />30 <br />40 <br />.3035 <br />.3I96 <br />1,0495 <br />3.295 3.140 <br />.95234 <br />20 <br />40 <br />.4331 <br />.4806 <br />1.1095 <br />2.309 <br />2.081 <br />.90133 <br />50 <br />.3062 <br />.3217 <br />1.0505 <br />3.255 3.108 <br />.95195 <br />10 <br />50 <br />.4358 <br />.4841 <br />1.1110 <br />2.295 <br />2.066 <br />.90007 <br />_20 <br />10 <br />18 <br />.3090 <br />.3249 <br />1.0515 <br />3.236 3.078 <br />.05I00 <br />72 <br />25 <br />,4384 <br />.4677 <br />1.1126 <br />2.281 <br />2.050 <br />.89879 <br />64 <br />10 <br />.3118 <br />.3281 <br />1,0525 <br />3.207 3.043 <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 3.018 <br />.94924 <br />40 <br />20 <br />.4436 <br />.49501.1158 <br />2.254 <br />2.020 <br />.89622 <br />40 <br />30 <br />.3173 <br />.3346 <br />1.0545 <br />3.152 2.989 <br />.94832 <br />30 <br />30 <br />.4462 <br />,49861.1174 <br />2.241 <br />2.006 <br />.89493 <br />30 <br />40 <br />.3201.33781,05553.1242.950.94740 <br />20 <br />40 <br />.404 <br />.6022 <br />t. 1100 <br />2.2281.991.89363 <br />20 <br />50 <br />3228 <br />.3411 <br />1.056a <br />9.998 2.932 <br />.94546 <br />10 <br />50.4514.50591.1207.2151,977.89232 <br />10 <br />19 <br />A256 <br />.2443 <br />1.0576 <br />3,072 .004 <br />-94552 <br />71 <br />27 <br />,4540,50951,1223 <br />.203 <br />1.963 <br />.89101 <br />63 <br />10 <br />.3283 <br />.3476 <br />1,05873,045 <br />x,877 <br />.94457 <br />50 <br />10 <br />.4565 <br />.5132 <br />1,1240 <br />.1.90 <br />1.949 <br />.88968 <br />50 <br />20 <br />.3311 <br />,3508 <br />1.0598 <br />3.020 .850 <br />.94301 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257. <br />-178 <br />1.935 <br />.88336 <br />40 <br />30 <br />.3338 <br />.3541 <br />1.0608 <br />2.9962.824 <br />.94364 <br />30 <br />30 <br />.4617 <br />.53061.1274!2,166 <br />1.921 <br />.88701 <br />30 <br />40 <br />.3305 <br />.3574 <br />1,0019 <br />2.971 1.793 <br />,94167 <br />20 <br />40 <br />.4643 <br />.5243 <br />[.1291 <br />.154 <br />L NJ <br />88506 <br />20 <br />50 <br />.3393 <br />.36071.0631 <br />2.947 1.7773 <br />.940G8 <br />I9 <br />50 <br />,4669 <br />.5280 <br />1.1308 <br />2.142 <br />1.894 <br />10 <br />20 <br />.3420 <br />.3640 <br />1.0642 <br />2.924 1.747 <br />.93969 <br />70 <br />28 <br />.46J5 <br />-5317 <br />1.1326 <br />':1301,881 <br />.88431 <br />62 <br />10 <br />,3448 <br />.36731,06532.9002.723 <br />.93869 <br />50 <br />10 <br />4720 <br />.5354 <br />1.1343 <br />2.1191.868.88158 <br />.88295 <br />50 <br />20 <br />.3475 <br />.3706 <br />1 0605 <br />2-878 .699 <br />10769 <br />40 <br />20 <br />,4746.5392 <br />1.1361 <br />2.1071.855 <br />.88020 <br />40 <br />30 <br />.3502 <br />.3739 <br />1.0676 <br />.856 2.675 <br />_93667 <br />30 <br />30 <br />.4772 <br />.5430 <br />1.1379 <br />2.096 <br />1.842 <br />.87882 <br />30 <br />40 <br />.3529 <br />.3772 <br />1.0688 <br />2,833 Z.651 <br />,93565 <br />20 <br />40 <br />.4707 <br />.5467 <br />1,1397 <br />.085 <br />1.829 <br />_87743, <br />20 <br />50 <br />.3557 <br />.3805 <br />1.0700 <br />2.811 .628.93462 <br />'10 <br />50 <br />.4323 <br />.5505 <br />1.1415 <br />.073 <br />1.816 <br />.87603 <br />10 <br />21 <br />.3534 <br />.3839 <br />1.07112.790 <br />3.605 <br />.93358 <br />69 <br />29 <br />,4848 <br />.5543 <br />1.I04 <br />2.063 <br />1.804 <br />.87462 <br />61 <br />10 <br />.3611 <br />.3872 <br />1.0723 <br />2.769 L583 <br />.93253 <br />50 <br />10 <br />.4874 <br />,5581 <br />1.1452 <br />2.052 <br />1.792 <br />1-87321 <br />! 50 <br />20 <br />.3038 <br />.3906 <br />1.0736 <br />2.749 A.560 <br />.93148 <br />40 <br />20 <br />.4899 <br />.5G19 <br />1.1471 <br />3.041 <br />1.780 <br />.87173 <br />40 <br />30 <br />.3665 <br />.3939 <br />1.0743 <br />2,729 .539 <br />.93042 <br />30 <br />30 <br />.4924 <br />.5553 <br />1.1490 <br />2.031 <br />1,767 <br />.87036 <br />30 <br />40 <br />.3692 <br />.3973 <br />1.0760 <br />2.709 2,517 <br />.92935 <br />20 <br />40 <br />.4950 <br />.5595 <br />1.1509 <br />2.020 <br />1.756 <br />.86392 <br />20 <br />50 <br />.3719.4006 <br />1.0773 <br />2.689 2.496 <br />.92827 <br />10 <br />50 <br />.4975 <br />.5735 <br />1.1528 <br />.010 <br />1.744 <br />.86748 <br />10 <br />22 <br />.3746 <br />.4040 <br />LOM <br />2-670 3,475 <br />.92713 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />.000 <br />1.732 <br />.86G03 <br />60 <br />10 <br />.3773 <br />.4074 <br />1,07992.6M <br />Z455 <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 2.434 <br />.92499 <br />40 <br />20 <br />-5050 <br />.5351 <br />1.1586 <br />L.930 <br />1.709 <br />.86310 <br />40 <br />30 <br />.3827 <br />.4142 <br />1.08242.613 <br />.414 <br />.92383 <br />30 <br />30 <br />.5075 <br />.58901.1600 <br />1.970 <br />t.698 <br />.86163 <br />30 <br />40 <br />.3354 <br />,4176 <br />1.0837 <br />2.505 .394 <br />.92276 <br />20 <br />40 <br />.5100 <br />.5930 <br 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