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X. <br />Natural Trigonometrical Functions <br />Angle, Sin. Tan. Sec..Cosec. Cetg. Coal n. <br />Angle. Sin. Tan. Sec. Cosec. Cotg.:Cosin. <br />0 <br />0 <br />0 <br />1. <br />3.62, <br />co <br />.-,- <br />90 <br />0; <br />.1392 <br />.1405,1.O09S <br />1.094G <br />7.185 <br />7.115 <br />.99037 <br />82 <br />10 <br />.0029.0029 <br />2899 <br />1.0412'3.592 <br />343.8343.8 <br />3.45 <br />1. <br />50 <br />10 <br />.1421 <br />'. 1438 <br />1'.CI02 <br />7.C40 <br />6.D68 <br />MS6 <br />50 <br />20 <br />.0058 <br />.0058 <br />1.0423 <br />171.9 <br />177:9 <br />.99098 <br />• 40 <br />20 <br />.1449 <br />.1465 <br />1.0107 <br />6.800 <br />6.827 <br />.98944 <br />' 40 <br />30 <br />,0087 <br />.0087 <br />1.0429 <br />114.611 <br />4.6 <br />.99996 <br />30 <br />.130 <br />.1478 <br />.14916 <br />1.0111 <br />6.766 <br />6.69 <br />.98902 <br />30 <br />40 <br />.0116 <br />.0116 <br />1.0001 <br />85.94 <br />85.94 <br />,09993. <br />20 <br />40 <br />.]5q7 <br />,1524 <br />1.01.15 <br />6.6366.56 <br />- 1 <br />.98858 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />68.76 <br />68.75 <br />.99980 <br />.10 <br />50 <br />1536 <br />.1554 <br />110120 <br />6.512 <br />6.435 <br />.08814 <br />10 <br />i . <br />.0175 <br />,0175 <br />1.0002 <br />57.30 <br />57,29 <br />.99985 <br />89 <br />9 , <br />.1564 <br />.1584 <br />1.0125 <br />6.394 <br />6.314 <br />.98769 <br />61 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />44.1149'.19 <br />3.237 <br />VM79 <br />50 <br />- . 10 <br />.1593 <br />.161i <br />1.0126 <br />6.2776.1k <br />2.123 <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 />6.084 <br />.98676 <br />40 <br />30 <br />. OM2 <br />,02621,000338.2038.19.99966 <br />1.0435 <br />3:326 <br />3.172 <br />.'95372 <br />36 <br />30.1650.16731.01396.0595.976-.98629 <br />.4305 <br />.4770 <br />1.1079 <br />2.323 <br />2.097 <br />.90259 <br />30 <br />40 <br />.0291 <br />'.02911.0004 <br />1.6495 <br />34.38 <br />34.37 <br />' 90958 <br />20 <br />40 <br />.1679 <br />.1703 <br />1.0144 <br />5.955 <br />5.871 <br />.95590 <br />20 <br />50 <br />.0320 <br />.0320 <br />1.0005 <br />31, 26 <br />31.24 <br />.09949 <br />10 <br />69 <br />_1708 <br />.17331.0149 <br />1.1110 <br />5.856 <br />.5 69 <br />.98531 <br />10 <br />2 <br />.0349 <br />.0349 <br />1.0005 <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.,42 <br />,09929 <br />50. <br />10 <br />.1765 <br />.1793 <br />1.0160 <br />5.6665,570 <br />.98430 <br />50 <br />20.0.407.04071.000824.5624,54.99917!-40 <br />:2145 <br />.3314 <br />1:0535 <br />3.-M <br />3.018 <br />.94923 <br />• 40 <br />20 <br />.4436 <br />.4950 <br />1.1158 <br />2.254 <br />2.020 <br />.80623 <br />40 <br />30 <br />.0438 <br />.0437 <br />1.6010 <br />22.93 <br />22.90 <br />:69905 <br />30 <br />,n20.1794.18231,01655.6755.485.98378 <br />`3'0 <br />.1822 <br />.1853 <br />1'.0170 <br />5:488 <br />5.35& <br />:98325 <br />30 <br />40.0465,04601.001121.4921.47.99892. <br />:3201 <br />:3378 <br />1.0555 <br />3.124 <br />2.960 <br />:94740. <br />20 <br />`,40.1851.18831.01765.403 <br />.4485 <br />.5023 <br />1.1100 <br />2.228 <br />.309.98272 <br />.89363 <br />20 <br />50 <br />.0494 <br />.0495 <br />1:0012 <br />20.23 <br />20.21 <br />.99878 <br />`10 <br />.'50 <br />.1850 <br />.19141.0181 <br />5.320 <br />'.226 <br />195218 <br />10 <br />3 <br />:0523 <br />.05241,001419.11 <br />6 <br />3.072 <br />19:08 <br />.99863 <br />8.7 <br />11 - <br />.1908 <br />,1944 <br />1.0187 <br />5.241 <br />5.145 <br />.9S 163 <br />79 .. <br />10 <br />.0552 <br />,0553 <br />1.0016 <br />28.10 <br />18.07 <br />.99847 <br />-50 <br />10.4566.51321.12402.1901.949.88968 <br />:1937 <br />.1974 <br />1.0193 <br />5.1645.066 <br />,98107 <br />50 <br />20 <br />.0581 <br />.05821,001717.2017.17.99831 <br />1.05093-020 <br />2:880 <br />.84361 <br />'40 <br />,10 <br />20 <br />.1905 <br />.20041:01995:0694.9&9 <br />1.1257 <br />.178 <br />1.935 <br />;98050 <br />40 <br />30 <br />.0510 <br />.0612 <br />1.0019 <br />16.3816.35 <br />2'.824 <br />.99813 <br />, .20 <br />, . 30 <br />.1904 <br />.2035 <br />1'.W5 <br />5:016 <br />.915 <br />.97992 <br />30 <br />40 <br />.0640 <br />.0641 <br />1.0020 <br />15.64 <br />15,00 <br />.99795 <br />20 <br />'4D <br />:2022 <br />.2065 <br />1.0211 <br />4:945 <br />4.843 <br />.97934 <br />20 <br />50 <br />.0669 <br />.0670 <br />1.0022 <br />14.9614:52 <br />2:773 <br />.09776 <br />,10 <br />160 <br />:2051 <br />:2095 <br />1.0217 <br />4.877 <br />.773 <br />.97875 <br />.10 <br />4 <br />.06D8 <br />.0899 <br />1.0024 <br />14.34 <br />14.30 <br />.99756 <br />86 <br />1,2 <br />,2079 <br />.2t26 <br />1.0223 <br />4,810.1.705 <br />.97815 <br />78 <br />10 <br />_0727 <br />,0729 <br />1.0027 <br />13,76 <br />13.73 <br />,99730 <br />50 <br />:10 <br />.2108 <br />.2156) <br />1.0230 <br />4.7745 <br />i,633 <br />.97754 <br />50 <br />20.0756.07581.:002013.2313.20.99714"._40 <br />:3415 <br />,37001.00652,57&2.699 <br />.93769 <br />40 <br />: '20:2136.21661.02364.6824,574.57692 <br />.4746.53921.13612.1071.475.&8020 <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 />.511.97630 <br />30 <br />40 <br />.6814 <br />;0816 <br />1.0033 <br />12.29 <br />12.25 <br />:99668 <br />2D <br />40 <br />.2193 <br />.22471:0249 <br />1.1397. <br />4.546 <br />649 <br />.73'754 <br />..20 <br />50 <br />.0843 <br />.08161.00361L.8711-83 <br />1.0700 <br />2.811 <br />2.623 <br />,99044 <br />10 <br />50 <br />.2221 <br />.2273 <br />1.0256 <br />4.502 <br />4.300 <br />.87603 <br />10 <br />5 <br />.0372 <br />.0875 <br />1 .0038 <br />11.4 <br />11.43.9061985 <br />.93358 <br />89 , <br />13 <br />.2250.23091•,02634.445 <br />.5543 <br />1.1434'.063 <br />+331.97437 <br />.97502 <br />77 <br />10 <br />.0901 <br />.0904 <br />1.004111-10 <br />2.769 <br />11.06 <br />.99594 <br />50 <br />10 <br />.2278 <br />.2339 <br />1-0270 <br />i,290 <br />1.275 <br />.07371 <br />50 <br />20.0929:CM4.11004310:7610:71.99567'-40 <br />.3DU6, <br />1.073'6 <br />2-.7'4, <br />2.56-0 <br />.93148 <br />40 <br />20':2306.2370102774-236 <br />.4899.56151.1471 <br />2 .041 <br />4219:01304 <br />.87178 <br />40 <br />30'.0958 <br />.3665 <br />.0963 <br />1:0046 <br />10.43 <br />10.39 <br />.99540 <br />30 <br />30 <br />.2334 <br />.2401 <br />1.0289 <br />4.234 <br />:165 <br />.97237 <br />• 30 <br />40 <br />.0987 <br />.0-992 <br />1.004910!13 <br />10.08 <br />.99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291 <br />,232 <br />`.113 <br />.97169 <br />•20 <br />50 <br />.1018 <br />,1022 <br />1:0052 <br />9:839 <br />9;788 <br />i99482 <br />.•10 <br />50 <br />.2391.2462 <br />1:0299.182 <br />.97100 <br />, 10 <br />6 `. <br />.1045 <br />.1051 <br />1.0055 <br />9.567 <br />9.514',99452 <br />.92718 <br />84 <br />14 <br />.2419 <br />:2493 <br />1.0305 <br />.133 <br />-.0G1 <br />.Olt <br />:97630 <br />76 , <br />10 <br />:1974 <br />,1084 <br />1.(1058 <br />9:309 <br />0.255 <br />:99421. <br />50 <br />!_10 <br />.2447 <br />,2524 <br />1.0314 <br />4.036 <br />3.962 <br />,96959 <br />' 50 <br />20.1103.11101.00519,0659.010.99390 <br />`.3800 <br />.4108 <br />1. 03112.632 <br />2.434 <br />.02419 <br />-40 <br />20:2476.25551.03214.039 <br />.5050 <br />.5851 <br />1,1586 <br />1.980 <br />37911-06887 <br />.86310 <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 />.994 <br />3,867.96815 <br />.86163 <br />30 <br />,40.1161'.. <br />`:3854 <br />IM <br />1:00688.6148.556.99324 <br />2.595 <br />2.3D4 <br />.92276 <br />20' <br />-40.2532,26171.0337 <br />.5100 <br />.59301.162E <br />.949 <br />1.821.96742 <br />.85015 <br />20 <br />50 <br />.1190 <br />AIDS IDS <br />1:0072 <br />8.405 <br />8.345 <br />•99290 <br />10 <br />50 <br />.2560 <br />'2648 <br />1.0345 <br />.908 <br />1.776 <br />.96667 <br />10 <br />7 . <br />.1219 <br />.1228 <br />1.0075 <br />5.206 <br />8.144 <br />.99255 <br />83 <br />15 <br />.2588 <br />.2679 <br />1'.0353 <br />3.86413.732 <br />1.664 <br />.85717 <br />75 <br />lO <br />.1248 <br />.1257 <br />1.0079 <br />8.016 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2616.2711 <br />.6048 <br />1.03613.822"3.689 <br />1.932 <br />1.653 <br />.06593 <br />.96517 <br />50 <br />20 <br />A276.12871,6082T.8347.771.91 <br />.431 <br />1.08912.525 <br />2:318 <br />E1 2 <br />-40 <br />20.2644.27421.0369'3.782.647.96440 <br />.5200 <br />:MSS <br />1',1707 <br />1.023 <br />1.643 <br />.85416 <br />40 <br />30 <br />.1305.1317I.00S67.6617.596.99144 <br />.4348 <br />1.0904 <br />2.508 <br />2.300 <br />.01700 <br />30 <br />30.2672.27731:0377!3.742'3.606.96363 <br />.5225 <br />.6128 <br />1.1728 <br />1.914 <br />1.632 <br />.85264 <br />30 <br />40 <br />.1334 <br />:1346 <br />1.0090 <br />7.496 <br />7.429 <br />,99106 <br />'20 <br />40 <br />.2700.2805 <br />.6168 <br />1.03863.703 <br />1.905 <br />1.621 <br />.85112 <br />20 <br />170 <br />.13G3 <br />.1370 <br />1.0094 <br />7;337 <br />7.269 <br />.09067 <br />10 <br />50 <br />.2723 <br />,2836 <br />1.03943.665 <br />1.8061.611 <br />.566.96285 <br />3.526 <br />.96206 <br />10 <br />82... <br />Angle <br />1 <br />74 <br />Cosln,.Cotg. <br />Cosec, <br />Sec. <br />Tan. <br />Sln: <br />Cosin, <br />Cog. <br />Cosec. <br />Sec. <br />,Tan. <br />Sin. Angle <br />,XL <br />Natural Trigonometrical Functioris <br />Angle Sin., Tan.. Seo. ,Cosec. Cotg: Cosin. <br />Angle Sin. Tan. Sec. Cosec. Colg, Casin.• <br />16 ' <br />.2756 <br />.2867 <br />1.0403 <br />3.62, <br />3.487 <br />:94126 <br />74 <br />24 <br />.4067 <br />.4452 <br />1.094G <br />2.459 <br />2.246 <br />.01355 <br />66: + <br />„1 <br />.2784 <br />2899 <br />1.0412'3.592 <br />3.45 <br />.0604G <br />.50 <br />_ 10 <br />-.4094 <br />,4487 <br />1,0961 <br />2,443 <br />2.229 <br />.91235 <br />50 <br />2 <br />,2813 <br />.2931 <br />1.0423 <br />3.M6 <br />3.412 <br />:95964 <br />40 <br />„20 <br />.;1120 <br />:4522 <br />1.0075 <br />2.427 <br />2.211 <br />.91116 <br />40 <br />3 <br />:2840 <br />.2962 <br />1.0429 <br />3.521 <br />3.376 <br />:05882 <br />30 <br />30 <br />.4147 <br />.4557 <br />1.0989 <br />2.411 <br />2.194 <br />.90906 <br />30 <br />•40.2868 <br />:2994 <br />1.043 <br />3.487 <br />3.34 <br />.05799•.,20 <br />40 <br />.4173 <br />.4592 <br />1.1004 <br />2.396 <br />2.177 <br />.90875 <br />20 <br />50 <br />.2896 <br />13026 <br />1.0448 <br />3.453 <br />3.305 <br />.95715 <br />10 <br />50 <br />.4200 <br />:4628 <br />1.1019 <br />2.351 <br />2.101 <br />:00753 <br />10 <br />17 <br />.2924 <br />:3057 <br />1.0457 <br />3.426 <br />3:271 <br />-95630 <br />73 . <br />25 <br />.4226 <br />.4663 <br />I.1034 <br />2.366 <br />2.145 <br />.90631 <br />65 <br />4JO <br />,2952 <br />.3089 <br />1.0466 <br />3.388 <br />3.237 <br />.95545 <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 />1.047C <br />3.35 <br />3.204 <br />:95459 <br />•40 <br />- 20 <br />.4279 <br />:47341.10642,337 <br />2.113 <br />.0038:3 <br />40 <br />,0 <br />.3007 <br />.3153 <br />1.0435 <br />3:326 <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 />1.6495 <br />3.295 <br />3:140 <br />:,95284 <br />-20 <br />40 <br />.4331 <br />.48061,1095 <br />2 309 <br />2.087..90133 <br />20 <br />50'.3062 <br />.3217 <br />1.0505 <br />3.255 <br />3.108 <br />.95195 <br />10 <br />50 <br />.4358 <br />:4841 <br />1.1110 <br />2,295 <br />2:006 <br />.00007 <br />10 <br />18•-;3090.3249 <br />1.65153.2363.078,9510 <br />G <br />72;•. <br />26 <br />:4354:48771,11262.2812,050 <br />. SD87064 <br />3118 <br />32UI <br />1,0525 <br />3.207 <br />3:048 <br />.95015 <br />- 50 <br />-10.4410.40131.11422.2682.035.89752 <br />50 <br />20 <br />:2145 <br />.3314 <br />1:0535 <br />3.-M <br />3.018 <br />.94923 <br />• 40 <br />20 <br />.4436 <br />.4950 <br />1.1158 <br />2.254 <br />2.020 <br />.80623 <br />40 <br />:30 <br />.3173.33161,05453:.1522.98,9.04832 <br />30 <br />-=30 <br />.4462`.49861'.11742.2-112.006.89493 <br />30 <br />,40 <br />:3201 <br />:3378 <br />1.0555 <br />3.124 <br />2.960 <br />:94740. <br />20 <br />40 <br />.4485 <br />.5023 <br />1.1100 <br />2.228 <br />1.991 <br />.89363 <br />2Q <br />50'.3225.34111.05663:0982:932 <br />.94,546 <br />, 10 <br />:50.4514 <br />:50591.1207 <br />2.215 <br />1.977 <br />.89232 <br />10 <br />19e <br />.3256 <br />.34431:05 <br />6 <br />3.072 <br />2, q04 <br />.04552 <br />71, - <br />27 <br />:4540 <br />.5095 <br />1,1223 <br />2.203 <br />1,063 <br />.89101 <br />63 <br />10:3263:34781.05873.0462:877:944$7.50 <br />10.4566.51321.12402.1901.949.88968 <br />59 <br />20 <br />.3311 <br />.3508 <br />1.05093-020 <br />2:880 <br />.84361 <br />40 <br />-, 2D <br />.4592 <br />.516D <br />1.1257 <br />.178 <br />1.935 <br />.88835 <br />40 <br />30 <br />:3333 <br />.3541 <br />1.0608 <br />2.996 <br />2'.824 <br />.04264 <br />•30 <br />30 <br />.4617 <br />.'52001.1274 <br />2.166 <br />1.921 <br />.88701 <br />30 <br />40.3365.3.5741.NID2.9712':798.i94A67 <br />:20 <br />40 <br />.4643 <br />.5243 <br />1.126 <br />2.1s 1 4 <br />1 �007 <br />.8850 <br />20 <br />-.50 <br />.3393 <br />.3007 <br />1.00312.947 <br />2:773 <br />.94`068 <br />, .10 <br />50 <br />.4669 <br />.5230 <br />1.13CS <br />2.142 <br />1.894 <br />.88431 <br />10 <br />20,- <br />'.3420 <br />.3640 <br />1.0642 <br />2.034 <br />2.747 <br />.'93909 <br />70 • <br />28 <br />,4695 <br />:5317 <br />1.1326 <br />2.1301.8St <br />.85295 <br />62 <br />1,.10 <br />.3448 <br />.3673 <br />1.0053 <br />2.900 <br />2: 723 <br />:93869 <br />50 <br />10 <br />.4720 <br />.53541.1343 <br />.119 <br />1.568 <br />.83158 <br />5C <br />20 <br />:3415 <br />,37001.00652,57&2.699 <br />.93769 <br />40 <br />•20 <br />.4746.53921.13612.1071.475.&8020 <br />4C <br />30.3502:37391.06762856?:G7o:53667 <br />:30 <br />30:4772:54301.1379 <br />.0961.842.81SS2 <br />3C <br />40.3529 <br />:3772 <br />1.0688 <br />2.833 <br />2 651 <br />'43565 <br />20 <br />•40 <br />.4797 <br />.5467 <br />1.1397. <br />.085 <br />1.829 <br />.57743 <br />2C <br />50',3657 <br />'3805 <br />1.0700 <br />2.811 <br />2.623 <br />:93462 <br />•10 <br />, 50 <br />:4823 <br />.5505 <br />1.1415 <br />2.07 3 <br />1.816 <br />.87603 <br />11 <br />21 <br />3584 <br />.33391.0711 <br />2.700 <br />2.605 <br />.93358 <br />89 , <br />29- <br />.4348 <br />.5543 <br />1.1434'.063 <br />1.804 <br />.87462 <br />61 <br />10 <br />:3611 <br />.3872 <br />L0723 <br />2.769 <br />2.553.03253 <br />- 50 <br />,-- 10 <br />.4874 <br />.5581 <br />1:14528.052 <br />1,792 <br />.57321 <br />5( <br />20:3638 <br />.3DU6, <br />1.073'6 <br />2-.7'4, <br />2.56-0 <br />.93148 <br />40 <br />:20 <br />.4899.56151.1471 <br />2 .041 <br />L.780 <br />.87178 <br />91 <br />30 <br />.3665 <br />.3939 <br />1:0748 <br />2- 729 <br />2.539 <br />.93042 <br />30 <br />30 <br />.4924 <br />:5653 <br />1.1490 <br />2.031 <br />1.767 <br />.9703G <br />N <br />40 <br />.3692 <br />.3973 <br />1.07606:709' <br />2.517 <br />.92935 <br />.20 <br />- 40 <br />.4950 <br />.5696 <br />1.1509 <br />2.020 <br />1.756 <br />.86892 <br />2( <br />50.3719.400¢1.07732:6892.49692327 <br />•10 <br />.50.9975.57351.15292.0101.744,86748 <br />It <br />22 <br />.3746 <br />,4040 <br />1.6785 <br />2.670 <br />2.475 <br />.92718 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547'.000 <br />1.732 <br />.86603.60 <br />10 <br />.3773.40741.07982.6562,455.92009 <br />50 <br />10 <br />5025 <br />.5S12 <br />1.1 566 <br 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