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X.- <br />Natural .Trigonometrical Functions <br />Angle. Sin. Tan. Soc. "Cosec. Cotg, Cosin. <br />Angle. Sin. Tan. Sec. Cosec. Caig. Cosin. <br />0 <br />0 <br />0 <br />1. <br />00 <br />co <br />1., <br />80 <br />8 <br />.1302 <br />.1405 <br />1.0095 <br />7.1S5 <br />7.115 <br />,09027 <br />82 <br />10 <br />.0029 <br />.0029 <br />343.8 <br />343.8 <br />1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.968 <br />.0895 <br />50 <br />20 <br />,0058 <br />.0653 <br />1,0423 <br />171.9 <br />171.9.99998 <br />,95964 <br />40 <br />20 <br />.1449 <br />.1465 <br />1.0107 <br />6.900 <br />6.527 <br />.95944 <br />40 <br />30 <br />°:0087 <br />.6087 <br />1.0427 <br />114.6 <br />114.6 <br />.99990' <br />30 <br />30 <br />.1478 <br />,1495 <br />1:0111 <br />6.766 <br />6.691 <br />.93902 <br />30 <br />4D <br />.6116 <br />.0116 <br />1.0001 <br />55.04 <br />&5.0.4 <br />.9999 <br />20 <br />- 40 <br />.1507 <br />.1524 <br />1.0115 <br />G.G3G <br />65.561 <br />.9885E <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />68.70 <br />68.75 <br />.9995 <br />10 <br />50 <br />.1536 <br />.1554 <br />L0120 <br />6:512 <br />6.435 <br />.1,SS14 <br />10 <br />1 , <br />.0175 <br />,0175 <br />1.0002 <br />57.30 <br />57.29 <br />.9995' <br />89 <br />9 <br />.1564 <br />.1554 <br />1.0125 <br />6.304 <br />6.314 <br />MUM <br />81 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49.11 <br />49.10 <br />.90979- <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />G.277 <br />6.197 <br />.95723 <br />50 <br />• 20 <br />.0233 <br />.0233 <br />1.0003 <br />42.98 <br />42.96 <br />.109973• <br />40 <br />20':1622 <br />.4279 <br />.IG44 <br />1.0134 <br />G.1GG <br />6.054 <br />.9867E <br />-- <br />30 <br />.6262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.09965 <br />30 <br />30 <br />.1650 <br />.1673 <br />1.0139 <br />6.059 <br />5.076 <br />.98629. <br />30 <br />40 <br />.0291 <br />.0291 <br />1,0004 <br />34,3S <br />34.37 <br />.9095 <br />.20 <br />• 40 <br />.1679 <br />.1703 <br />1.0144 <br />5.955 <br />5.871 <br />.98550 <br />, 20 <br />50 <br />.0320 <br />.0320 <br />1.0005 <br />31.26 <br />31,24 <br />00949 <br />16 <br />60 <br />.1708 <br />.1733 <br />1.0149 <br />5.855 <br />5.769 <br />.9S53i <br />10 <br />2 <br />.0340 <br />.0349 <br />L.0006 <br />28.65 <br />28.64.99930 <br />.95106 <br />88 <br />10 •:1736 <br />.4384 <br />.1763 <br />1.0154 <br />5.750 <br />5.671 <br />,9S481 <br />80 <br />10 <br />.0378 <br />.0378 <br />1.0007 <br />26.45 <br />26..43 <br />,00929 <br />50 <br />10 <br />.1765 <br />.1703 <br />1.01GO <br />5.665 <br />5.576 <br />,9S430 <br />b0 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.56 <br />24.54 <br />,99917 <br />40 <br />20 <br />.1-94 <br />.1823 <br />1.0165 <br />5.575 <br />5.465 <br />.93375 <br />40 <br />30 <br />.0.136 <br />.0437 <br />1•.0010 <br />22.93 <br />22.90 <br />.99905 <br />30 <br />30 <br />.1822 <br />.1553 <br />1.0170 <br />5.498 <br />5.390 <br />.95325 <br />30. <br />90 <br />.0465 <br />.0466 <br />1.001121149 <br />3.124 <br />21.47 <br />,99302 <br />20. <br />40 <br />.1351 <br />,1SS3 <br />1.01765.403 <br />2.228 <br />5.300 <br />.98272 <br />20 <br />50 <br />.0494 <br />:04'05 <br />1.0012 <br />20.23 <br />20,21 <br />.99S78 <br />10 <br />.50 <br />.1880 <br />.1914 <br />1.0181 <br />5.320 <br />5.2261,98218 <br />.89232 <br />10 <br />8 <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.03 <br />.09863 <br />87 <br />11_ <br />1905 <br />.1944 <br />1•.0187 <br />5.241 <br />5.145 <br />,98163 <br />79 <br />10 <br />.0552 <br />.05531.001515.1018,07 <br />1.0587 <br />3.046 <br />.877 <br />,0984 <br />50 <br />10 <br />.1937 <br />.19"11,O1fl,15.1645.066 <br />1.1240 <br />2.100 <br />1.949 <br />.98107 <br />50 <br />20 <br />.0531 <br />.0532 <br />1.0017 <br />17.20 <br />17.17 <br />.99831 <br />. 40 <br />20 <br />.1065 <br />.2004 <br />1, 0199 <br />5059 <br />4.959 <br />.95050. <br />40 <br />30 <br />:0610 <br />.0012 <br />LQ019 <br />16.38 <br />16.35 <br />.09813 <br />30 <br />3Q <br />.1994 <br />.2035 <br />1,0205 <br />5.016 <br />4.015 <br />.07902 <br />30 <br />40 <br />.0640 <br />.6641 <br />1.0020 <br />15.64 <br />15.60 <br />.99795 <br />20 <br />40 <br />.2022 <br />:2005 <br />1,0211 <br />4.945 <br />4.843 <br />.97934 <br />20 <br />50 <br />.0600 <br />.007 <br />1.0022 <br />14.96 <br />14.92 <br />.99776 <br />10 <br />50 <br />.2051 <br />.2095 <br />1.0217I <br />S77 <br />4.773 <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 />:21261.0223 <br />.1320 <br />4.810 <br />4.705 <br />.97815 <br />78 <br />10 <br />.0727 <br />.0729 <br />1.0021 <br />13.16 <br />13:73 <br />.99736 <br />50 <br />10 <br />.2105 <br />.2150 <br />1.0_'30 <br />4.745 <br />4.638 <br />.97754 <br />50 <br />20.0756.07581.002913.2313.20.99714 <br />.3475 <br />.3700 <br />L.O6G5M•.878 <br />.699 <br />.93769 <br />40 <br />20.2136.2136 <br />.4746 <br />.5392 <br />1 0236 <br />4,8524_,574.97092 <br />1,555 <br />.85020 <br />40 <br />30 <br />,0755 <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 />.0514 <br />.0816 <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 />.107566 <br />20 <br />50 <br />.0843 <br />.084C <br />1.0036 <br />11.87 <br />11.83 <br />.99644 <br />. 10 <br />50 <br />,2221 <br />.2273 <br />1'.0256 <br />4.502 <br />4.300 <br />.07502 <br />10 <br />6 <br />.0872 <br />.0875 <br />1.0035 <br />11.47 <br />11.43 <br />.99619 <br />85 <br />13 <br />.2250 <br />.2309 <br />1.0263.1.445 <br />,063 <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 />.2273 <br />,2.;30 <br />1.0270 <br />4.300 <br />4.275 <br />,97371 <br />50 <br />20 <br />.0920 <br />.0934 <br />1.0043 <br />10.76 <br />10.71 <br />.90307 <br />. 4020 <br />20 <br />.2306 <br />.2370 <br />1.02771.336 <br />.0411.7SO <br />1:219 <br />:97304 <br />40 <br />30 <br />.0058 <br />.0963 <br />1.0046 <br />10.43 <br />10.39 <br />.99540 <br />30 <br />30 <br />.234 <br />.2401 <br />1.02541.284 <br />.031 <br />4,165 <br />.97237 <br />30 <br />40 <br />.0957 <br />.0992 <br />1.0049 <br />10.13 <br />10:03 <br />.99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291 <br />.232 <br />1.113 <br />.97169 <br />20 <br />50 <br />:1016 <br />.1022 <br />1.0052 <br />9.83j <br />0.783 <br />.99482 <br />10. <br />50 <br />.2391 <br />.2462 <br />1.0290 <br />14182 <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 />1.0300 <br />L133 <br />1,011 <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.OS6 <br />3.962 <br />.06J59 <br />50 <br />20 <br />.1103 <br />.1110 <br />1.0001 <br />9.065 <br />9'.010 <br />.99390 <br />40 <br />20 <br />.247G <br />.2555 <br />1.0321 <br />4,039 <br />3.014 <br />.96SS7 <br />40 <br />30 <br />.1132 <br />AM <br />LOOG5 <br />S.S34 <br />S.777 <br />:09357 <br />30• <br />. 30 <br />.2504 <br />.25SG <br />1.0329 <br />3,9943.867 <br />1.695 <br />.96SI5 <br />30 <br />40 <br />.1101 <br />.1165 <br />1,0065 <br />3.614 <br />5.556 <br />.09324 <br />20 <br />40 <br />.2532 <br />.2617 <br />1.0337 <br />3.949 <br />3.821 <br />96743 <br />20 <br />50 <br />.1190 <br />.1198 <br />1.0072 <br />5.405 <br />8.345 <br />.99290 <br />10 <br />50 <br />.2560 <br />.2648 <br />1.0345 <br />3.906 <br />3,776 <br />.96667 <br />10 <br />7 <br />.1210 <br />.1225 <br />1.0075 <br />8.206 <br />8.144 <br />.99255 <br />83 <br />15 <br />.25SS <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 />5.016 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2616 <br />.2711 <br />1.0361 <br />.622 <br />3.639 <br />.96517 <br />50 <br />20.1276.12871,00827.9347.770.99182 <br />.3961 <br />.4319 <br />1.0391 <br />2.525 <br />Z:318 <br />.91822 <br />40 <br />20 <br />.2644 <br />.2742 <br />1.0360 <br />3.732 <br />3.647,96.140 <br />.55416 <br />40 <br />30 <br />.1305 <br />.1317 <br />1,0086 <br />7.G61 <br />7.596 <br />.99144 <br />30 <br />30 <br />.2072 <br />.2773 <br />1.0377 <br />3.742 <br />3.600 <br />.96353 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0090 <br />7.490 <br />7.429 <br />.09106 <br />• 20 <br />40 <br />.2700 <br />.2SO5 <br />1.0386 <br />3.703 <br />3.566 <br />.96255 <br />20 <br />50 <br />6 <br />3' <br />1 09 <br />7 337 <br />7 '659 <br />9906" <br />10 <br />50 <br />27 5 <br />2S3O <br />1.03 94 <br />3.6651-3.5,93 <br />90206 <br />10 <br />66 <br />0/ <br />1 <br />58 <br />0/ <br />I <br />50 .13 3 :1 76 .0 4 3 <br />82 74 <br />or � or <br />Cosin.,Cotg. Cosec. See. Tan. Sin. Angie Cosin. Coto. Cosec. .Sec. Tan. Sin. Angle <br />1 <br />Natural Trigonometrical Functions <br />Angle. Sln.: Tan Sec: Cases. Crg. Cosin.--. <br />Angle. Sin. Ton Sea Cosec. Coto. Costa.:- <br />16 <br />.2756 <br />:2567 <br />1:0403 <br />3.628 <br />3.487 <br />.9612 <br />74 ' <br />24 <br />:4067 <br />.4452 <br />1.0946 <br />2.45912 <br />246 <br />,91355 <br />66 <br />10.27&4.28991,03123.5923.450.96046 <br />50 <br />10.4094.44871.096I2.443�2.229.91236 <br />50 <br />23 <br />.2812 <br />.2031 <br />1,0423 <br />3.556 <br />3.412 <br />,95964 <br />40 <br />20 <br />_4120 <br />;4522 <br />LOOM <br />2.427 <br />2.211 <br />;01116 <br />40 <br />30 <br />.2840 <br />.2962 <br />1.0427 <br />3:5213478 <br />:95852 <br />30 <br />30 <br />.4147 <br />x4557 <br />1.0989 <br />2.411 <br />2.194 <br />.90906 <br />30 <br />40 <br />.2868 <br />.2994 <br />1:043 <br />3.457 <br />3.340 <br />.9579 <br />20 <br />40-.4173 <br />.4592 <br />1.100 <br />2.39 <br />2.177 <br />:00875 <br />20 <br />50 <br />.2896 <br />.3020 <br />1.044 <br />3.453 <br />3.305 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4628 <br />1.1019 <br />2.381 <br />2.161 <br />.90753 <br />10 <br />17 ' <br />.2924 <br />.3057 <br />1.045. <br />3.420 <br />3.271 <br />05630 <br />73 <br />25 . <br />.4226 <br />.4663 <br />1.1034 <br />2.36 <br />2.145 <br />.90031 <br />65 . <br />10 <br />.2952 <br />.3089 <br />1.0466 <br />3.388 <br />3.237 <br />.95545 <br />50 <br />10 <br />_4253 <br />.46991.1049 <br />2.351 <br />2.128 <br />.90507 <br />.50 <br />20 <br />.2979 <br />.3121 <br />1.041 <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 />.90333 <br />40 <br />30 <br />.3007 <br />.3153 <br />1.048. <br />3.326 <br />3.172 <br />.05372 <br />30 <br />30 <br />.4105 <br />.47,70 <br />1.1079 <br />2.323 <br />2.097 <br />.00259 <br />30 <br />40 <br />.3035 <br />,3155 <br />1•.0495 <br />3.295 <br />3.140 <br />.95284 <br />• 20 <br />40 <br />.4331 <br />.4506 <br />1.1095 <br />2.309 <br />2.OS1 <br />.90133 <br />20 <br />50 <br />.30G2 <br />.3217 <br />1.0505 <br />3.265 <br />3.103 <br />.95195 <br />10 <br />50 <br />.4358 <br />.4541 <br />1.1110 <br />2.295 <br />2.OGG <br />.90007 <br />10 <br />18 <br />.30'00 <br />.3249 <br />1.0515 <br />3.236 <br />3.078 <br />.95106 <br />72 <br />26 <br />.4384 <br />.4877 <br />1. I126 <br />2.281 <br />2.050 <br />.80879 <br />64 <br />10 <br />.3118 <br />.3251 <br />1.0525 <br />3.207 <br />3.045 <br />.95015 <br />50 <br />10 <br />.4410 <br />.4913 <br />1.1142 <br />2.268 <br />2.035 <br />:59752 <br />50 <br />20 <br />.3145 <br />.3314 <br />1.0535 <br />3.179 <br />3.018 <br />.94924 <br />'40 <br />20 <br />.4436 <br />.4950 <br />L.1158 <br />2:254 <br />2.020 <br />.59622 <br />40 <br />30 <br />.3173 <br />.3346 <br />1.0545 <br />3.152 <br />2:080 <br />.94&32 <br />30 <br />30 <br />.4462 <br />.49561. <br />L174 <br />2.241 <br />2.006 <br />.80403 <br />30 <br />40 <br />,3201.337S <br />1.0555 <br />3.124 <br />.960 <br />.94740 <br />20 <br />40 <br />.44SS <br />.5022 <br />1.1100 <br />2.228 <br />1.991 <br />.89363 <br />20 <br />50 <br />,3228.34111.05663.098':032 <br />.94616 <br />10 <br />50 <br />.4514.50,591.12072.2151.977 <br />.89232 <br />10 <br />19_: <br />.3"_56 <br />.3443 <br />1.05765 <br />.072 <br />2.004 <br />.04552 <br />71 <br />27- <br />.4540 <br />.5095 <br />.123 <br />'.203 <br />1.963 <br />.89101 <br />63 -. <br />10 <br />.3_"33 <br />.3.476 <br />1.0587 <br />3.046 <br />.877 <br />.94457 <br />50 <br />10 <br />:4566 <br />.5132 <br />1.1240 <br />2.100 <br />1.949 <br />.SS969 <br />50 <br />20 <br />..""311 <br />.3508 <br />1.0503 <br />3.020 <br />.850 <br />.04361 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />2.178 <br />1.935 <br />:88835 <br />40 <br />30 <br />.8338 <br />.35411.OGO3 <br />2.096 <br />.524 <br />.94264 <br />30 <br />30 <br />,4617 <br />.5206 <br />.1274 <br />.166 <br />1.021 <br />.8&701 <br />30 <br />40 <br />:3365 <br />.3574 <br />1.0G19 <br />2.971 <br />;798 <br />.94167 <br />'20 <br />40 <br />.4643 <br />.5243 <br />1.1291 <br />:154 <br />1.907 <br />.88566 <br />'20 <br />50 <br />.3303 <br />.3607 <br />LOON <br />2.947 <br />,773 <br />.04068 <br />10 <br />50 <br />.4660 <br />,5290L.1308 <br />.142 <br />I:S94 <br />.85431 <br />10 <br />20 <br />.3420 <br />.3640 <br />.0042`2.924 <br />.747 <br />.93960 <br />70 <br />23 <br />;4595 <br />,5317 <br />.1320 <br />,130 <br />LS31 <br />.85295 <br />62 . <br />10 <br />.3448 <br />.3G73 <br />1.055&2.900 <br />.723 <br />.93869 <br />50 <br />10 <br />.47'20 <br />.5354 <br />1.1343 <br />:919 <br />1,S68 <br />.881.58 <br />50 <br />20 <br />.3475 <br />.3700 <br />L.O6G5M•.878 <br />.699 <br />.93769 <br />40 <br />20 <br />.4746 <br />.5392 <br />1:1361 <br />.107 <br />1,555 <br />.85020 <br />40 <br />30.3502.3739 <br />.0676 <br />.&56 <br />.675.93667 <br />30 <br />330 <br />.477-9 <br />.5430 <br />1. 1379 <br />.0961.843.87SS2 <br />30 <br />40 <br />.3529 <br />,3772 <br />1,0688 <br />2,833 <br />.651 <br />.93565 <br />20 <br />40 <br />.4797 <br />.55467 <br />1.1397 <br />2. 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