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X 1,1 . XI <br />Natural Trigonometrical functions Natural Trigonometrical Functions <br />Angle.Sin. <br />Angle Sin. Tan. Sec. Cosec. Cotg. Cosin. <br />Tan. <br />Sec, <br />Cosec. <br />Cotg. <br />Cosin.. <br />Angle. <br />Sin. <br />Tan.. <br />See. <br />Cosec, <br />Cotg. <br />Cisin. <br />IG <br />.2756 <br />.2867 <br />1.0403 <br />3.62•' <br />3.487 <br />.90125 <br />74 <br />24 <br />.4067 <br />.4453 <br />1.0946 <br />8 <br />0 <br />01. <br />66 <br />cc <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 />�� <br />343.8 <br />343.8. <br />1. Y <br />-- 50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.98 <br />.98086 <br />. 50 <br />20 <br />.00is <br />,0058 <br />40 <br />171.9 <br />171.9 <br />.99998 <br />40 <br />20 <br />,1449 <br />.14M <br />1,0107 <br />6.900 <br />6.827 <br />.98944 <br />40 <br />30 <br />.0087 <br />.0087 <br />30 <br />114.6 <br />114.6 <br />.1)"M <br />30 <br />30 <br />.1478 <br />.1495 <br />1.0111 <br />6.786 <br />6.691 <br />,93902 <br />30 <br />40.0116.01161.000185,9485.94.9999 <br />2.177 <br />.90875 <br />20 <br />50 <br />.2896 <br />.3026 <br />20 <br />40,1507.15241.01156.6306.561,98858 <br />3.30 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4628 <br />.20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />68.76 <br />68.75 <br />, 9998 <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 />57,3057.29 <br />M2 <br />.90985 <br />89 <br />9 <br />1564 <br />.1534 <br />1.0125 <br />6.394 <br />6.314 <br />.93769 <br />81 <br />10 <br />.0204 <br />, 02 04 <br />1.0002 <br />49.11 <br />49.10 <br />.99979 <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />0.277 <br />6.107 <br />.03723 <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 />6.156 <br />6.084 <br />.98676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.09960 <br />'30 <br />30 <br />.1650 <br />.1673 <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 />34.37 <br />.9995P <br />i 20 <br />40 <br />.1679 <br />.1703 <br />1.0144 <br />5.955 <br />6.871 <br />.98880 <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 />.0853 L <br />10 <br />2 <br />.0349 <br />.0349 <br />1.0006 <br />28.65 <br />28.64 <br />9993988 <br />1.0525 <br />10 <br />.1736 <br />,1763 <br />1,0154 <br />5.759 <br />5.671 <br />.98481 <br />60 <br />10 <br />.0378 <br />.0378 <br />1.0007 <br />26.45 <br />26.43 <br />.99929 <br />50 <br />10 <br />3.018 <br />.1793 <br />1.0180 <br />5.066 <br />5.570 <br />.93430 <br />50 <br />20.0407.04071.000824,56{24,54,99917 <br />2,020 <br />.89623 <br />40 <br />30 <br />.3173 <br />.3346 <br />40 <br />20.1794.18231.016515.5756.485.98,378 <br />,1765 <br />.94832 <br />30 <br />30 <br />.4462 <br />.4986 <br />40 <br />30 <br />.0436 <br />.04371.0010 <br />30 <br />22.03 <br />22.90 <br />.99905 <br />'30 <br />30 <br />.1822 <br />.18331 <br />*017015.488 <br />40 <br />5.396 <br />.98325 <br />30 <br />40.0465'.04661.001121.4921.47.09&92 <br />1.091 <br />.89363 <br />20 <br />50 <br />.3228 <br />.3411 <br />20 <br />40L1851.18331.0176�6,403 <br />2,932 <br />.94646 <br />10 <br />50 <br />5.309.98273 <br />.5059 <br />20 <br />50 <br />.0494 <br />,0495 <br />1.0012 <br />20.23 <br />20.21 <br />.99878 <br />16 <br />50 <br />.1880 <br />.1914 <br />1.0181 <br />6.320 <br />.226 <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 />.1914 <br />1.0187 <br />6.2415.145 <br />.08163 <br />79 <br />10 <br />.0552 <br />.0553 <br />1.0015 <br />18.10 <br />18.07 <br />.09847 <br />50 <br />10,1937 <br />2,850 <br />.19741 <br />.0193 <br />6.154 <br />5.060 <br />,98107 <br />50 <br />20 <br />.0581 <br />.0552 <br />1.0017 <br />17.20 <br />17.17 <br />.99831 <br />40 <br />20 <br />.19G5 <br />.2004 <br />1 .4109 <br />5.089 <br />_.089 <br />.98050 <br />40 <br />30 <br />.0610 <br />.0512 <br />1.0019 <br />15,38 <br />16.35 <br />.99813 <br />30 <br />30 <br />.1994 <br />.2035 <br />1.0265 <br />6.018 <br />4,915 <br />.97992 <br />30 <br />40.0640,0&111.002015.0415.60.99705 <br />.88566 <br />20 <br />50 <br />.3393 <br />.36D7 <br />20 <br />40.2022,20551,02114.9454.343.97034 <br />2.773 <br />.94068 <br />10 <br />50 <br />.4669 <br />.5280 <br />20 <br />501.0669 <br />1.394 <br />.0570 <br />1,0022 <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 />.99755 <br />66 <br />12 <br />,2079 <br />.2126 <br />1.0223 <br />4:810 <br />.705 <br />.97815 <br />70 <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 />4.638 <br />.07754 <br />50 <br />20 <br />.0756 <br />.0758 <br />1.0029 <br />13.23 <br />13.20 <br />.99714 <br />40 <br />20 <br />.2138 <br />.2136 <br />1.0236 <br />4.682 <br />4.474 <br />,97692 <br />40 <br />30 <br />,0765 <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 />.0810 <br />LOW3 <br />1229 <br />12.25 <br />.99668 <br />20 <br />40 <br />.2193 <br />.2247 <br />1,0249 <br />4.560 <br />4.440 <br />.97566 <br />20 <br />50 <br />.0643 <br />.08461.003 <br />10 <br />11.87 <br />11.83 <br />MG44 <br />10 <br />50 <br />,2221 <br />.2278 <br />1.0256 <br />4.402 <br />4.390 <br />.97502 <br />10 <br />5 <br />.0872 <br />.0875 <br />1.0038'11.47 <br />10 <br />11.43 <br />.99619 <br />85 <br />13 <br />.2250 <br />.2309 <br />1.0203 <br />4.445 <br />: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 />4.275 <br />.97371 <br />50 <br />20 <br />.0929 <br />OM4 <br />1.0043 <br />10.76 <br />10-71 <br />.99507 <br />40 <br />20 <br />,2306.23701:02774.336 <br />30 <br />30.4024.5658 <br />4.219.97304 <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 />4.234 <br />4,165 <br />.97237 <br />30 <br />40 <br />.0987 <br />c0992 <br />1:0049 <br />10.13110.08 <br />.3719 <br />.99511 <br />20 <br />.40 <br />.2363 <br />.2432 <br />1.0291 <br />4.232 <br />_.113 <br />.97169 <br />20 <br />50 <br />.1015 <br />.1022 <br />1.0052 <br />9.839 <br />9.788 <br />.99482 <br />IO <br />50 <br />.2391 <br />.2462 <br />1.0299 <br />4.192 <br />4.001.97100 <br />.5774 <br />10 <br />5 - <br />.1045 <br />.105[1.0055 <br />60 <br />9.567 <br />9.514 <br />.09452 <br />84 <br />14 <br />,2419 <br />.2493 <br />1.0306 <br />4.133 <br />4.011 <br />.97030 <br />75 <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 />3.062 <br />.96959 <br />50 <br />20 <br />.1103 <br />•1110 <br />1.0061 <br />9.065 <br />9.010 <br />.99300 <br />40 <br />20 <br />2.414 <br />.2555 <br />1.0321 <br />4.039 <br />3.914 <br />.5890 <br />40 <br />30 <br />.1132 <br />.1139 <br />1.0065 <br />8.834 <br />8,777 <br />.99357 <br />.30 <br />301.2504 <br />.2476 <br />.2586 <br />1.0329 <br />.994 <br />.867 <br />.96887 <br />.96815 <br />30 <br />40 <br />.1161 <br />.1169 <br />L00688.6148.55609324 <br />50 <br />.3887 <br />.4210 <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 />8.345.99290 <br />.424 <br />10 <br />50 <br />.2560 <br />.264S <br />1.0345 <br />3,906 <br />3.776 <br />.96667 <br />10 <br />7 <br />.1219 <br />,1228 <br />1.0075 <br />8.206 <br />8.144.99255 <br />.4279 <br />83 <br />15 <br />'.2588 <br />.2679 <br />1.035 <br />.864 <br />.732 <br />.96593 <br />5 <br />10 <br />.248 <br />.1257 <br />1,0079 <br />8.016 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2616 <br />.27111'.036%. <br />40 <br />822 <br />.689 <br />.96517 <br />50 <br />20 <br />30 <br />.197t'12871 <br />.1305 <br />.1317 <br />, OOS') <br />LOCH <br />7.334 <br />7.661 <br />7,711 <br />7.596 <br />11092 <br />.99144 <br />40 <br />30 <br />. 20 <br />' 30 <br />.2644 <br />.2672 <br />.2742 <br />.2773 <br />1.0359 <br />1.0377 <br />.782 <br />3,742 <br />.647 <br />,600 <br />.96440 <br />.96363 <br />40 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0090 <br />7.406 <br />7.429 <br />,99106 <br />2C <br />40 <br />.2700 <br />.2805 <br />1.0386 <br />3.709 <br />566.96285 <br />.6168 <br />20 <br />50 <br />.1353 <br />1376 <br />1.0094 <br />7.337 <br />7.260 <br />.09007 <br />.IC <br />50 <br />,2728 <br />.2$36 <br />1.0394 <br />3.655 <br />.526 <br />.96206 <br />10 <br />1.896 <br />1611 <br />.84950 <br />10 <br />82 <br />� <br />66 <br />6/ <br />78 <br />or <br />Cosin, Colp. Cosec, Sec. Tan. Sin. Angle <br />Cosh. Cotg. Cosec. Sic. Ton. Sin. Angle <br />Angle. Sin, Tan. Sec. Cosec. Cotg. Cosin. <br />Angle Sin. Tan. Sec. Cosec. Cotg. Cosin. <br />o I <br />- <br />o r <br />IG <br />.2756 <br />.2867 <br />1.0403 <br />3.62•' <br />3.487 <br />.90125 <br />74 <br />24 <br />.4067 <br />.4453 <br />1.0946 <br />2.45912.240 <br />'.01355 <br />66 <br />1 <br />.2784 <br />.2899 <br />1.0412 <br />3.592 <br />3.450 <br />OG046 <br />W <br />10 <br />.4004 <br />.4487 <br />1,0901 <br />2.443 <br />2.229 <br />.91236 <br />50 <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 />2.472.211 <br />.91116 <br />40 <br />30 <br />.2840 <br />•2962 <br />1.0120 <br />3.521 <br />3.370 <br />.05882 <br />30 <br />30 <br />.4147 <br />,4557 <br />1.0989 <br />2.4112. <br />M <br />.90996 <br />30 <br />40 <br />.2858 <br />.2994 <br />1.0438 <br />3.487 <br />3.34 <br />.95799 <br />20 <br />40 <br />.4173 <br />.4592 <br />1.1004 <br />2,390 <br />2.177 <br />.90875 <br />20 <br />50 <br />.2896 <br />.3026 <br />1.0448 <br />3.453 <br />3.30 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4628 <br />1.1019 <br />2.381 <br />2,101 <br />.00753 <br />10 <br />17 <br />.2924 <br />.3057 <br />1.0457 <br />3,42C <br />3.271 <br />.95630 <br />73 <br />25 <br />.4226 <br />.4603 <br />1.103412.366 <br />2.145 <br />. ow, 1,65 <br />10 <br />M2 <br />.3CS9 <br />1.0466 <br />3,388 <br />3.237.95:;45 <br />50 <br />10.4253.46991.10492,3512.123.905071 <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. 83 7 <br />2,112 <br />.90387 <br />40 <br />3C <br />.3007 <br />.3153 <br />1.0435 <br />3.326 <br />3.172 <br />:05372 <br />3U <br />30 <br />.4305 <br />.47;0 <br />1,1079 <br />2.323 <br />2.007 <br />.90250 <br />30 <br />40 <br />.3035 <br />,3185 <br />1.0495 <br />3.295 <br />3.I4C <br />.95284 <br />20 <br />40 <br />.4331 <br />.4806 <br />1.1095 <br />2.309 <br />2:051 <br />.90133 <br />20 <br />:;0 <br />.3062.3217I.C5C53.2653.106.95195 <br />10 <br />!10 <br />.4358 <br />.48411.1110 <br />2.295 <br />2,006 <br />MU07 <br />1U <br />10 <br />.3090.32491.05153.2363.0,78.0510612 <br />26 <br />.43$4 <br />.4877 <br />1. 11-26 <br />2.2812.050 <br />.80870 <br />64 <br />10 <br />.3118 <br />.3251 <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 />2.0:,5 <br />.89752 <br />50 <br />20 <br />.3145 <br />.33I4 <br />1.0535 <br />3,179 <br />3.018 <br />.D4924 <br />40 <br />20-.4436 <br />.4950 <br />1.I158 <br />2.254 <br />2,020 <br />.89623 <br />40 <br />30 <br />.3173 <br />.3346 <br />1.0545 <br />3.152 <br />2.089 <br />.94832 <br />30 <br />30 <br />.4462 <br />.4986 <br />1.1174 <br />2.241 <br />2.006 <br />.80493 <br />30 <br />40 <br />.3201 <br />,3378 <br />1:0555 <br />3.124 <br />2.060 <br />.04740 <br />20 <br />40 <br />.4488 <br />.50°2 <br />1,1190 <br />2.228 <br />1.091 <br />.89363 <br />20 <br />50 <br />.3228 <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 />1.077 <br />.80232 <br />10 <br />19 <br />.3256 <br />.3143 <br />1.0576 <br />3.072 <br />2.904 <br />-9455'.71 <br />27 <br />.4540.LO951.12232.2031:9G3 <br />.80101 <br />63 <br />10 <br />.3283.34761.05873:0462.877.94447 <br />50 <br />10.4560.51321,12402.1901.949.85968 <br />0 <br />20 <br />.3311 <br />.3508 <br />1.0598 <br />3.020 <br />2,850 <br />.94361 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />2.178 <br />1.935 <br />.88835 <br />40 <br />30 <br />.3338 <br />.3541 <br />.0608 <br />2.996 <br />2.824 <br />.94254 <br />30 <br />30 <br />.4617.5200 <br />1.1274.2.166 <br />1.921 <br />.85701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0610 <br />2.971 <br />2.703 <br />.04167 <br />-20 <br />40 <br />.4643 <br />.5243 <br />1.1201 <br />-1541.907 <br />.88566 <br />20 <br />50 <br />.3393 <br />.36D7 <br />1.06012.947 <br />2.773 <br />.94068 <br />10 <br />50 <br />.4669 <br />.5280 <br />1.1308.142 <br />1.394 <br />.88431 <br />10 <br />20 <br />-1420 <br />.36401:0642 <br />2.024 <br />2.747 <br />.93959 <br />70 <br />28. <br />.4695 <br />.5327 <br />1.13262.130 <br />.881 <br />-8829,562 <br />-10 <br />:3448 <br />.3673 <br />1.0653 <br />2.900 <br />2.723 <br />.93869 <br />50 <br />10 <br />.4720 <br />.5354 <br />1:1343 <br />1I9 <br />1.868 <br />:83158 <br />50 <br />20 <br />.3475 <br />.3706 <br />1.0665 <br />2.878 <br />2.6D9 <br />.93760 <br />40 <br />29 <br />.4746 <br />.5392 <br />1.134112.107 <br />1.855 <br />.88020 <br />40 <br />So <br />-3502 <br />Mg <br />1.0570 <br />2.850 <br />2.675 <br />.9667 <br />30 <br />30.4772.54301.1379.0061.842:87882 <br />30 <br />40 <br />.3529 <br />.3772 <br />1,0688 <br />2.833 <br />2.651 <br />-03565 <br />'20 <br />40 <br />.4797 <br />.5467 <br />1.13971 <br />X085 <br />1:829 <br />.87743 <br />20 <br />50 <br />.3557 <br />.3305 <br />1.0700 <br />2.811 <br />2.628 <br />.93462 <br />10 <br />50 <br />.4823.5505 <br />1.14152.0731.816 <br />.87603 <br />10 <br />21 <br />.3584 <br />.3830 <br />1.0711 <br />2.790 <br />2.605 <br />.93358 <br />69 <br />29 <br />.4848 <br />.5543 <br />1.1434 <br />2.063 <br />1.804 <br />.87462 <br />61 <br />10 <br />.3011 <br />.38721.0723 <br />2.769 <br />2.583 <br />.93253 <br />-50 <br />10 <br />.4874 <br />.5561 <br />1.1452 <br />.052 <br />1.792 <br />.87321 <br />50 <br />20.3638 <br />.3908 <br />I . 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