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X <br />Natural Trigonometrical Functions <br />Angles Sin. Tan. Sec: Cosec. Cotg. Cosin. <br />Angle. Stn. Tan. Sec. Cosec: Cotg. Cosin. <br />01 <br />_o./ <br />o, <br />: <br />0 <br />0 <br />0 <br />1. <br />0 <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 />3.45 <br />343-8343.8 <br />, 50. <br />.1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.96 <br />.98986 <br />50 <br />- 20 <br />.0058 <br />.0058 <br />3.412:.95964 <br />171:9 <br />171.9 <br />.99998 <br />40 <br />•20'.1449 <br />1.0975 2.427 <br />.1465 <br />1.0107 <br />6.900 <br />6.82 <br />.98944 <br />40 <br />30 <br />.0087 <br />.0087 <br />3.376 <br />114.6114.6 <br />30 <br />.99996 <br />30 <br />30 <br />.1478 <br />,1495 <br />1.0111 <br />6.766 <br />6.691 <br />:98902 <br />30 <br />40 <br />.0116 <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 />.98858 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />68.76 <br />68.75 <br />.09989 <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 />.99985 <br />89 <br />9 , <br />.1564 <br />.15841.0125 <br />2.145 <br />6.394 <br />6.314-.98769 <br />10 <br />81 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49.1149. <br />10 <br />.99979 <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />6.277 <br />6.197 <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 />1.6134 <br />6.166 <br />6.084 <br />.98676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.99966 <br />30 <br />30 <br />.1650 <br />.1673 <br />1.0139 <br />6.059 <br />5.976 <br />.98629 <br />30 <br />40 <br />.6291 <br />.0291 <br />1:0004 <br />34.38 <br />34.37 <br />.99958 <br />20 <br />40 <br />.1679 <br />.1703 <br />1.0144 <br />5.955 <br />5.871 <br />.98580 <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 />.98531 <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 />.98481 <br />80 <br />16 <br />.0378 <br />.0378 <br />1.0007 <br />26.45 <br />26,43 <br />.9992. <br />50 <br />.10 <br />.1765 <br />.1793 <br />1.0160 <br />5.665 <br />5:576 <br />.98430 <br />50 <br />20 <br />.0407 <br />.04071, <br />0008 <br />24.56 <br />24154 <br />.99917 <br />40 <br />20 <br />.1794 <br />.1823 <br />1.0165 <br />5.575 <br />5.485.98378 <br />30 <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 />1.0170 <br />5.488 <br />5.396 <br />.98325 <br />30 <br />40 <br />.0465 <br />.04661, <br />001121.49 <br />21.47 <br />.99892 <br />20 <br />40 <br />.1851 <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 />.9987 <br />10' <br />50 <br />.1880 <br />.1914 <br />1.01811 <br />.89232 <br />.226 <br />.98218 <br />10 <br />3 <br />.0523 <br />:0524 <br />1,0014'19.11 <br />.04552 <br />19.08 <br />.99863"87 <br />.4540 <br />11 <br />;1908 <br />.1944 <br />1.6187 <br />5.241 <br />5.145 <br />.98163 <br />79 <br />10.0552 <br />1.0587 <br />.0553 <br />1.001518:1018, <br />.94457 <br />07 <br />.99847 <br />50 <br />' '10 <br />.1937 <br />.19741.0193 <br />1.949 <br />5.164 <br />5 XG6 <br />.98107 <br />50 <br />20 <br />.0581 <br />.0582 <br />1'.001717.2017:17 <br />.94361 <br />40 <br />.99831 <br />40 <br />' 20 <br />.1965 <br />.2004 <br />1.0199 <br />5.089 <br />4.989 <br />.98650 <br />40 <br />30 <br />.0610 <br />.0612 <br />1.6019 <br />16.38 <br />16.35 <br />.99813 <br />30 <br />30 <br />.1994 <br />.2035 <br />1.0205 <br />5.016 <br />4.915 <br />.97992 <br />30 <br />40 <br />.0640 <br />.6641 <br />f.6020 <br />15.64 <br />15.60 <br />.99795 <br />20 <br />40 <br />.2022 <br />.2065 <br />1.02114.945 <br />.88566 <br />4.843 <br />.97934 <br />20 <br />50 <br />.0664 <br />.0670 <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 />:09756 <br />86 <br />12 , <br />.2079 <br />.21261:0223 <br />.881 <br />4.810 <br />:705 <br />.97815 <br />78 <br />10 <br />.0727 <br />.0729 <br />1.0027 <br />IMC <br />13.73 <br />.99736 <br />50 <br />10 <br />.2108 <br />.2156 <br />1.0230 <br />4.745 <br />4.638 <br />.97754 <br />50 <br />20 <br />.0756 <br />.6758 <br />1.0029 <br />13A3 <br />13.210 <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 />, . 36 <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 />:0816 <br />1.0033 <br />12.29 <br />12.25 <br />.99668 <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 <br />.0946 <br />1.0036 <br />11.8711.83 <br />.10 <br />.99644 <br />10 <br />50 <br />.2221 <br />.2278 <br />1.0256 <br />4.502 <br />4.390 <br />.97502 <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 />.2309 <br />1.0263 <br />4,445 <br />4.331 <br />.9743777 <br />.3584 <br />10 <br />.0901 <br />.0904 <br />1.0041 <br />11.1011.06 <br />60 <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 />.0934 <br />1.0043 <br />10.76 <br />10.71 <br />.99567 <br />40. <br />20 <br />.2306 <br />:2370 <br />1.0277 <br />4.338 <br />4.219 <br />.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 />.2334.2401 <br />2.031 <br />1.0284 <br />4.284 <br />4.165 <br />.97237 <br />30 <br />40 <br />.0987 <br />.6992 <br />1.0049 <br />10.13 <br />10.08 <br />.99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291.232 <br />:86892 <br />:113 <br />.97169 <br />20 <br />50 <br />.1016 <br />.1022 <br />1.0052 <br />9.839 <br />9.788 <br />.99482 <br />10 <br />50 <br />.2391 <br />.2462 <br />1.0299 <br />.182 <br />.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 />1.0306 <br />4.133 <br />4.011 <br />.97030 <br />76. <br />10 <br />.1074 <br />.1080 <br />'.1110 <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 />1.00619.065 <br />.92499 <br />9.610 <br />.99390 <br />40 <br />20 <br />.2476 <br />.2555 <br />1.0321 <br />4.039 <br />3.914 <br />.96887 <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 />3.994 <br />3.867 <br />.96815 <br />30 <br />-40:1161.11691'.00688.6148.556.99324. <br />2.595 <br />2.394 <br />.92276 <br />20 <br />40 <br />20., <br />40:2532,26171:0337 <br />1.1626 <br />1.961 <br />1.686 <br />3.949 <br />3.821.96742 <br />50 <br />20 <br />:50 <br />.1190 <br />.1198 <br />1.0072 <br />8.405 <br />8.345 <br />.99290 <br />101 <br />• 50 <br />.2560 <br />.2648 <br />1.0345 <br />3.906 <br />j.776 <br />.96667 <br />10 <br />7.• <br />.1219 <br />.1228 <br />1.0075 <br />8.206 <br />8.144 <br />.99255 <br />83 <br />15 <br />.2588 <br />,2679 <br />1.0353 <br />3.804 <br />3.732 <br />.96503 <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 />.822 <br />3.689 <br />.96517 <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 />.7823 <br />:647 <br />.06440 <br />40 <br />30 <br />.1305 <br />.1317 <br />1.0086 <br />7.661 <br />7.596 <br />.99144 <br />30 <br />30 <br />.2672 <br />.2773 <br />1.0377 <br />3.742 <br />3.606 <br />.96363 <br />30 <br />40 <br />.1334 <br />:1346 <br />1.0090 <br />7.498 <br />7.429 <br />.99106 <br />• 20 <br />40 <br />.2700 <br />.2805 <br />1.0386 <br />8.703 <br />3.566 <br />.96285 <br />20 <br />S0 <br />.1363 <br />.13781.0094 <br />2.264 <br />7.337 <br />7.289 <br />.990671' <br />10 <br />501.2728 <br />1.1770 <br />, 2836 <br />1.6394 <br />3.665 <br />3.526.98208 <br />10 <br />.4417 <br />.. <br />- <br />' <br />66 <br />82 .-74 <br />o, <br />_ <br />58 <br />< <br />or <br />W <br />y <br />Cosin. <br />Will. <br />Cosec. <br />Sec. <br />Tan. <br />Sin. <br />Angle <br />Cosin. <br />Cotg. <br />Cosec. <br />Sec. <br />Tan, <br />Sin. <br />Angle <br />XI <br />Natural Trigonometrical, Functions <br />Angle.Sin. Tan. Sec._ Cosec Cotg. Cosin. Angles Sin. Tan. Sec. Cosec. Cotg. Cosin. <br />' 1 <br />1 <br />1 <br />G <br />_o./ <br />. <br />: <br />.2867 <br />1.0403 <br />3.62 <br />3.487 <br />.96126 <br />742.24 <br />.4067 <br />.4452 <br />1'0946 2.4592.246 <br />.91355 <br />66 <br />1 <br />.2756 <br />1.041 <br />3.592 <br />3.45 <br />.96045 <br />, 50. <br />. 1 <br />.4094 <br />.4487 <br />1.0961 2.443 <br />2.229 <br />.9123 <br />• <br />50 <br />2 <br />.2784'.289 <br />1,0423 <br />3.55 <br />3.412:.95964 <br />40 <br />20 <br />.4120 <br />.4522 <br />1.0975 2.427 <br />2.211 .91116 <br />40 <br />3 <br />.2812.2931 <br />.2962 <br />1:0429 <br />3.521 <br />3.376 <br />.95852 <br />30 <br />30 <br />.4147 <br />.4557 <br />1.0989 <br />2.411 <br />2.194 .90996 <br />-30 <br />..284 <br />4 <br />.2868 <br />.2994 <br />1:043 <br />3.48 <br />3.34 <br />.95799 <br />;.20 <br />40 <br />.4173 <br />.4592 <br />1.100 <br />2.398 <br />2.177 .90875 <br />20 <br />5 <br />.2896 <br />.30261.0448 <br />3.453 <br />3.305'.95715 <br />10 <br />50 <br />.4200 <br />.46281. <br />.1019 <br />2.381 <br />2.161 <br />.90753 <br />10 <br />7 - <br />1.0407 <br />3.42 <br />3.271 <br />.95636 <br />73 <br />25 <br />.4226 <br />.4663 <br />1.1034 <br />2.366 <br />2.145 <br />.90631 <br />65 <br />10 <br />.2924'.3057 <br />:2952 <br />.3089 <br />1.0466 <br />3.38 <br />3.23 <br />.95545 <br />50 <br />10 <br />.4253 <br />.4699 <br />1.1049 <br />2.3512. <br />128 <br />.90507 <br />50 <br />20 <br />.3121 <br />1.047 <br />3_.35 <br />3.20 <br />.95459 <br />40 <br />20 <br />.4279 <br />.4734 <br />1.1064 <br />2.337 <br />2.112 <br />.90383 <br />40 <br />3 0 <br />.2979 <br />.3007 <br />.3153 <br />1.0485 <br />3.326 <br />3.172 <br />.95372 <br />30 <br />30 <br />.4305 :47701.1079 <br />2.323 <br />2.097 <br />.90259 <br />30 <br />40 <br />1:0495 <br />3.295 <br />3.140 <br />.05284 <br />. 20 <br />40'.4331 <br />.48061.1095 <br />2.309 <br />2.081 <br />.90133 <br />20 <br />50 <br />.3035 <br />.3185 <br />.3217 <br />1.'0505 <br />3.265 <br />3.108 <br />.95195 <br />10' <br />. 50 <br />.4358 <br />.4841 <br />1.1110 <br />2.295 <br />2,066 <br />.00007 <br />10 <br />8- <br />.3062 <br />.32491.0515 <br />3.2363.07 <br />8 <br />.95106 <br />72 <br />26 <br />.4384 <br />.4877 <br />1.1126 <br />2.2812.050 <br />.89879 <br />64.. <br />10 <br />.3090 <br />1.0525 <br />3.20 <br />3.048 <br />.95015 <br />. 50 <br />10 <br />.4410'.4913 <br />1.1142 <br />2.268 <br />2.035 <br />.89752 <br />50 <br />' <br />20 <br />.3118 <br />.3281 <br />:. 3314 <br />1.0535 <br />3.17 <br />3.018 <br />.94924 <br />40 <br />20 <br />.4436 <br />.4950 <br />1.1158 <br />2.254 <br />2.020 <br />.89623 <br />40 <br />30 <br />..3145 <br />1,0545 <br />3.152 <br />2.989 <br />.94832 <br />30 <br />30 <br />.4462 <br />.4986 <br />1.1174 <br />2.241 <br />2.006 <br />.89493 <br />.30 <br />40 <br />.3173'.3346 <br />'.3378 <br />1.0555 <br />3.124 <br />2.960.94740 <br />20 <br />40 <br />.4488 <br />.5022 <br />1.1190 <br />.228 <br />1.901 <br />.89363 <br />2( <br />-50 <br />.3201 <br />.3411 <br />1.0566 <br />3.098 <br />2.032 <br />.94646 <br />10 <br />50 <br />.4514 <br />.5059 <br />1.1207 <br />2.215 <br />1.977 <br />.89232 <br />1( <br />9, <br />.3228 <br />.3256 <br />.3443 <br />1.0576 <br />3.072 <br />2.904 <br />.04552 <br />71. <br />27 <br />.4540 <br />.5095 <br />1.1223 <br />.203 <br />1.963 <br />.89101 <br />63 <br />1.0587 <br />3.046 <br />2.877 <br />.94457 <br />50, <br />10 <br />.4566 <br />.5132 <br />1.1240 <br />2.190 <br />1.949 <br />.88968 <br />5( <br />.10 <br />20 <br />.3283 <br />.3476 <br />.350$ <br />1.0598 <br />3.020 <br />2.850 <br />.94361 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />.179 <br />1.935 <br />.88835 <br />4( <br />30-3338 <br />-3311 <br />.3541 <br />1.0608 <br />2.996 <br />2.824 <br />.94264 <br />30 <br />30 <br />.4617 <br />.5206.1.1274 <br />2.166 <br />1.921 <br />.88701 <br />3( <br />40 <br />.3574 <br />1.0619 <br />2.971 <br />2.798 <br />.94167 <br />20 <br />-.40 <br />.4643 <br />.5243 <br />.1291 <br />.154 <br />1.907 <br />.88566 <br />. 2( <br />50 <br />.3365 <br />.36071.06312.947 <br />2.773 <br />'.94068 <br />10 <br />50 <br />.4669 <br />.5280 <br />.1308 <br />.142 <br />1.894 <br />.88431 <br />.1( <br />0. • <br />.3393 <br />'.36401.0642 <br />2.924 <br />2.747 <br />.93!969 <br />70., <br />28- <br />.4695 <br />.53171.1326 <br />.130 <br />.881 <br />.88295 <br />62 . <br />10:.3448 <br />.3420 <br />.3673 <br />1.0853 <br />2.900 <br />2.723 <br />.93869 <br />50 <br />10 <br />.4720 <br />.5354 <br />1..1343 <br />.119 <br />1.868 <br />.88155 <br />.51 <br />.20 <br />.3706 <br />1.6665 <br />2.878 <br />2.699 <br />.03769 <br />40 <br />20 <br />.4748 <br />.5392 <br />1.1361 <br />.1071.855 <br />.88020.41 <br />30 <br />.3475 <br />.3502 <br />1.0676 <br />2.856 <br />2.675 <br />.-93667 <br />30 <br />, . 36 <br />.4772 <br />.5436 <br />1.1379, <br />.0961.842 <br />.87882 <br />31 <br />40 <br />.3739 <br />:3772 <br />1.0688 <br />2.833 <br />2, 851 <br />.03565 <br />_ 20 <br />40 <br />.4797 <br />:54671.1397 <br />.085 <br />1.829 <br />.87743 <br />21 <br />50 <br />.3529 <br />.3805 <br />1.0700 <br />2.811 <br />2.628 <br />.93462 <br />.10 <br />50 <br />.4823 <br />.5505 <br />.1415 <br />.073 <br />1.818 <br />.87603 <br />L <br />!1 . <br />_.3557 <br />'.3839 <br />1.07112.790 <br />2.605 <br />.03358 <br />69 . <br />29 <br />.4848 <br />.5543 <br />1.1434 <br />.063 <br />1.804 <br />:87462 <br />61 <br />10 <br />.3584 <br />.3872 <br />1.0723 <br />2.769 <br />2.683 <br />.03253 <br />60 <br />'10 <br />.4874 <br />.5581 <br />.1452 <br />.052 <br />1.792 <br />.87321 <br />5 <br />20 <br />.3611 <br />.3906 <br />1.0736 <br />2.740 <br />2.56 <br />.93148 <br />40 <br />-20 <br />.4899 <br />.56191.1471 <br />.041 <br />1.780 <br />.87178 <br />4' <br />30 <br />.3638 <br />.39391.0748 <br />2.729 <br />2.539 <br />.03042 <br />. 30 <br />30 <br />.4924 <br />.56581.1490 <br />2.031 <br />1.767 <br />.87036. <br />3 <br />40 <br />.3665 <br />.3973 <br />1.0760 <br />2.709 <br />2.517".92935 <br />.20 <br />40 <br />.4950 <br />.5696 <br />1.1509 <br />.020 <br />1.756 <br />:86892 <br />2 <br />50 <br />.3692 <br />.40061.0773 <br />2.689 <br />2.496 <br />.02827 <br />. 10 <br />. 50 <br />.4975 <br />.5735 <br />1.1528 <br />.010 <br />1.744 <br />.86748 <br />1 <br />t2 <br />.x719 <br />.4040 <br />1.0785 <br />2.610 <br />2.475 <br />.92718 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />.000 <br />1.732 <br />.86603 <br />80 <br />10 <br />.3746 <br />.3773 <br />.40741.0798 <br />2.650 <br />2.455 <br />.92609 <br />50. <br />10 <br />.5025 <br />.5812 <br />1.1566 <br />1.990 <br />1.720 <br />.86457 <br />5 <br />20 <br />:41081.08112.632 <br />2.434 <br />.92499 <br />40 <br />. 20 <br />.5050 <br />.5851 <br />1.1586 <br />1.980 <br />1.709 <br />.86310 <br />4 <br 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