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1$1 <br />x . <br />Natural Trigonometrical Functions <br />Angle.Siri. Tan. 'Sec. Cosec. Cotg. Cosin. <br />Angle.'Sin. Tan. 'See. Cosee. Cotg. Cosln. <br />o i <br />o. <br />0 <br />0 <br />•0 <br />1. <br />e0 - <br />ao <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 />1.641 <br />343.8343.8 <br />3.450 <br />1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.968 <br />.98986-50 <br />50 <br />20 <br />.0058 <br />.0058 <br />1.0423 <br />171.9 <br />171.9 <br />.99998 <br />40 <br />20 <br />.1449 <br />.1465 <br />1.0107 <br />6.000 <br />6.827 <br />.98944 <br />40 <br />30 <br />.0087 <br />.0087 <br />- <br />114:6 <br />114.6 <br />.99996 <br />30 <br />30 <br />.1478 <br />.1495 <br />1.0111 <br />6.766 <br />6.691 <br />.08902 <br />SO <br />40 <br />.0116 <br />.0116 <br />1.0001 <br />85.94 <br />85.94 <br />A99M <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 />68.78 <br />68.75 <br />.9998C <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 />1.000257.3 <br />0 <br />7.29 <br />.99985 <br />89 <br />9 <br />.1564 <br />.1584 <br />1.0125 <br />6.394 <br />6.314 <br />.98769 <br />81 <br />10 <br />.0264 <br />.0204 <br />1.0002 <br />49.1149. <br />10 <br />.9991 <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />6:277 <br />6.197 <br />:95723 <br />50 <br />20 <br />.0233 <br />.0233 <br />1.0003 <br />42.08 <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 />.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 />.0291 <br />.0291 <br />1.0004 <br />34.38 <br />34.37 <br />.99955 <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 />.95531 <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 />10 <br />.0378 <br />.0378 <br />1.0007 <br />26.45 <br />26.43 <br />.9992C <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 />.0407 <br />1.0008 <br />24.56 <br />24.54 <br />.9991 <br />.40 <br />. 20 <br />.1794 <br />.1823 <br />1.0165 <br />5.575 <br />5.485 <br />.98378 <br />40 <br />30 <br />.0436 <br />.0437 <br />1.0010 <br />22.93 <br />22.90 <br />.99905 <br />80 <br />SO <br />.1822 <br />.1853 <br />1.0170 <br />5.488 <br />5.396 <br />.98325 <br />30 <br />40 <br />.0465 <br />.0466 <br />1.0011 <br />21.49 <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 />.6494 <br />.04951:0012 <br />1.0566 <br />20.23 <br />20.21 <br />.&8i8 <br />10 <br />60 <br />.1880 <br />.1914 <br />1.0181 <br />5.320 <br />5.226 <br />.98218 <br />10 <br />8 <br />.0523 <br />.052. <br />1.0014 <br />19.11 <br />19.08 <br />.99863 <br />87 <br />11 <br />.1908 <br />.1944 <br />1.0187 <br />5.241 <br />5.145 <br />.98163 <br />79 <br />10 <br />.0552'.0553 <br />.3476 <br />1.0015 <br />I8 IO <br />18.07 <br />.9984 <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 <br />17.17 <br />.99831 <br />40 <br />.20 <br />.1965 <br />.2004 <br />1.0199 <br />5.089 <br />4.989 <br />.95050 <br />40 <br />30-.0610 <br />.3338 <br />.0612 <br />1.0019 <br />16.38 <br />M35 <br />.99813 <br />30 <br />30 <br />.1994 <br />.20351.0205 <br />:1274 <br />5.016 <br />4.915 <br />.97992 <br />30 <br />40 <br />.0640 <br />.0641 <br />1.0020 <br />15.64 <br />16.60 <br />.99795 <br />20 <br />40 <br />.2022 <br />.2065 <br />1.0211 <br />4.945 <br />4.843 <br />.47934 <br />- 20 <br />50 <br />.0669 <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 />.0008 <br />.0609 <br />1.0024 <br />14.34 <br />14.30 <br />.9975E <br />88 <br />12 <br />.2079 <br />.2126 <br />1.0223 <br />4:510 <br />4.705 <br />.97815 <br />78 <br />.10 <br />.0727 <br />:0729 <br />1.0027 <br />13.70 <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 />.0766 <br />.071 <br />1.0029 <br />13.23 <br />13.20 <br />.9971 <br />.40 <br />20 <br />.2136 <br />.2186 <br />1.0236 <br />4.682 <br />4.874:97692 <br />.88020 <br />40 <br />-30 <br />.0785 <br />.0787 <br />1'.0031 <br />12.75 <br />12.71 <br />.99692 <br />30 <br />SO <br />.21G4 <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 />449 <br />.97566 <br />20 <br />50 <br />.0843 <br />.0846 <br />1.0036 <br />11.87 <br />11. <br />.09644 <br />10 <br />50 <br />.2221 <br />.2275 <br />1.0256 <br />4.502 <br />.390 <br />.47502 <br />10 <br />V'` <br />.9872 <br />.087 <br />1.00381 <br />1.47 <br />1143 <br />.9961 <br />85 <br />13 . <br />.2250 <br />.2309 <br />1.0263 <br />4.445 <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 />.2278 <br />.2339 <br />1:0270 <br />4.390 <br />1.275 <br />.97371 <br />, 60 <br />20 <br />.092 <br />.0934 <br />1.0043 <br />10.76 <br />10.71 <br />.99567 <br />40 <br />20 <br />.2300 <br />.2370 <br />1.0277 <br />4:336 <br />4.219 <br />.97304 <br />40 <br />,80 <br />.0958 <br />.0963 <br />1'.0046 <br />10.43 <br />10.39.99540 <br />.43042 <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 />.97169 <br />20 <br />50 <br />.1016 <br />.1022 <br />L0052 <br />9.839 <br />9.788 <br />.99482 <br />10 <br />50 <br />.2391 <br />:2462 <br />1.0299 <br />4.182 <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 />L0306 <br />4.133 <br />4.011 <br />.97030 <br />76 <br />10 <br />.1074 <br />.1080 <br />1.0058 <br />9.309 <br />9.255 <br />.9942I <br />50 <br />10 <br />.2447 <br />.2.324 <br />1.0314 <br />4.036 <br />4.962 <br />.96959 <br />50 <br />20 <br />.1103 <br />.1110 <br />1.0061 <br />9.065 <br />9.010 <br />.9939 <br />40 <br />20 <br />.2476 <br />.2655 <br />1.0321 <br />4.039 <br />3.914 <br />.96887 <br />40 <br />30 <br />.1132 <br />.1130 <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 <br />.1161 <br />.1189 <br />1.0068 <br />8.614 <br />8.556 <br />.99324 <br />20 <br />40 <br />.2532 <br />.2617 <br />1.0337 <br />3.949 <br />3.821 <br />96742 <br />20 <br />56 <br />.1190 <br />.1198 <br />1.0072 <br />8.405 <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 />.1219 <br />.1228 <br />1.0075 <br />8:206 <br />5.144 <br />.99255 <br />83 <br />15 <br />.2588 <br />.2679 <br />1.0353 <br />3.804 <br />3.732 <br />.96593 <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 />3.822 <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 />3.782 <br />3.647 <br />.96440 <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..2773 <br />.6128 <br />1.0377 <br />3.742 <br />3.606 <br />.96363 <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 <br />.2805 <br />1.0386 <br />3.703 <br />3.566 <br />.96285 <br />20 <br />60 <br />.1363 <br />.1376 <br />1.0094.337 <br />2.475 <br />7.269 <br />.99067 <br />10 <br />50 <br />.2728 <br />.2836 <br />1.0394 <br />3.665 <br />3.526 <br />.96206 <br />10 <br />82 <br />0r <br />74 <br />or <br />- <br />Cosin. <br />Coto. <br />Cosee. <br />_ Seo. <br />Tan. <br />Sin. <br />Angle <br />Cosin. <br />C019. <br />Cosec <br />Seo. <br />Tan. <br />Sin. <br />Angle <br />Natural Trigonometrical Functions <br />Angie. Sin.: Tan. Sec.. Cosec Cotg. Cosln. <br />Angle. Sin. Tan. Seo. - Cosec. Cotg. Coslu <br />of <br />0.1 <br />16• <br />.2756 <br />.2867 <br />1.0403 <br />3.628 <br />3.487 <br />.0612 <br />74 <br />24 <br />.4067 <br />.4452 <br />1.0046 <br />2.459 <br />2.246 <br />.91w <br />66 <br />10 <br />.2784 <br />.2890 <br />1.641 <br />3.592 <br />3.450 <br />:9604 <br />50 <br />'10 <br />.4004 <br />.44371.0961 <br />2.443 <br />2.229 <br />.91238. <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 />2.42 <br />2.211 <br />.91116 <br />40 <br />30 <br />.2840 <br />.2962 <br />1.0429 <br />3.5213.376 <br />.95882 <br />30 <br />-30 <br />.4147 <br />.4557 <br />1.0089 <br />2.4112.194 <br />.90996 <br />so <br />40 <br />.2868 <br />.2994 <br />1.043 <br />3.487 <br />3.340 <br />.95799 <br />20 <br />40 <br />.4173 <br />.4592 <br />1.1004 <br />2.396 <br />2.177 <br />.90875 <br />20 <br />50 <br />.2806 <br />.3026 <br />LOW <br />3.453 <br />3.305 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4628 <br />1.1010 <br />2.3812.161 <br />.90753 <br />10 <br />17 <br />.2924 <br />.3057 <br />1.0457 <br />3.420 <br />3:271 <br />.95630 <br />73 <br />25 <br />.4226 <br />.4663 <br />1.1034 <br />2.366 <br />2.145 <br />.90631 <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 />.4699 <br />1.1049 <br />2.351 <br />2.128 <br />.90507 <br />50 <br />20 <br />.2979 <br />.3121 <br />1.0476 <br />3.357 <br />3.204 <br />.05459 <br />40 <br />20 <br />.4379 <br />.4734 <br />1.1064 <br />2.337 <br />2.112 <br />.90383 <br />40 <br />'30 <br />:3007 <br />.3153 <br />1.0485 <br />3.326 <br />3.172 <br />'.05372 <br />30 <br />30 <br />.4305 <br />.47701'.1079 <br />2.323 <br />2.097 <br />.90259 <br />30 <br />7.40 <br />.3035 <br />.3185 <br />1.0495 <br />3.295 <br />3.140 <br />.95284 <br />20 <br />40 <br />.4331 <br />.48061:1095 <br />2.309 <br />2.081 <br />.90133 <br />26 <br />. 50 <br />:3062 <br />.3217 <br />1.0505 <br />3.265 <br />3.108 <br />.95195 <br />10 <br />50 <br />.4353 <br />.4541 11.1110 <br />2.295 <br />2:066 <br />.90007 <br />.10 <br />18 - <br />.3090 <br />.3249 <br />1.0515 <br />3.236 <br />3.078 <br />.95106 <br />72. <br />26 ' <br />.4384 <br />.48771.1126 <br />2.281 <br />2.050 <br />.89879 <br />64 <br />10 <br />.3118 <br />32811.0525 <br />3.207 <br />3.048 <br />.95015 <br />'50 <br />'10 <br />: 4410 <br />.4913 <br />1.1142 <br />2.268 <br />2.035 <br />. S9752 <br />50 <br />k '20 <br />:3145 <br />.3314 <br />1.0535 <br />3.179 <br />3.018 <br />:94924 <br />40 <br />20 <br />.4436.4950 <br />.1158 <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 />.59493 <br />30 <br />40 <br />:3201 <br />.3378 <br />1.0555 <br />3.124 <br />2.960 <br />.94740 <br />•20 <br />1.40 <br />.4438 <br />.5022 <br />.1190 <br />2.228 <br />1.991 <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 />.1207 <br />2.215 <br />1.977 <br />.89232 <br />10 <br />19 ' <br />.3256 <br />.3443 <br />1.0576 <br />3.072 <br />2.004 <br />.94552 <br />71 <br />27 <br />.4540 <br />.5095 <br />.1223 <br />2.203 <br />1.963 <br />.89101 <br />63 .. <br />10 <br />.3283 <br />.3476 <br />1.0587 <br />3.046 <br />.877 <br />.94457 <br />50 <br />10 <br />.4566 <br />.5132 <br />.1240 <br />2.190 <br />L'049 <br />.88968 <br />'50 <br />20 <br />.3311 <br />.3508 <br />1.0598 <br />3.020 <br />.850 <br />.94361 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />:178 <br />1.935 <br />.88535 <br />:40 <br />30 <br />.3338 <br />.3541 <br />1.0608 <br />2.996 <br />.824 <br />.94264 <br />30 <br />30 <br />.4817 <br />.5205 <br />:1274 <br />.166 <br />1.921 <br />.88701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0619 <br />.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 />.3393 <br />.3607 <br />1.0631 <br />2.947 <br />.773 <br />.94068 <br />10 <br />50 <br />.4669 <br />.52 SO <br />1.1308 <br />.142 <br />1.894 <br />.88431 <br />10 <br />20 <br />.3420 <br />.3640 <br />1.0642 <br />2.924 <br />.747 <br />.93969 <br />76 <br />28 <br />.4695 <br />.5317 <br />1.4326 <br />.130 <br />1.881 <br />.83295 <br />fit ' <br />.10 <br />.3448 <br />.3673 <br />1.0653 <br />2.900 <br />.723 <br />.978G9 <br />50 <br />10 <br />.4720 <br />.5354 <br />1.1343 <br />1.1191.W8.88158' <br />50 <br />- 20 <br />.3475 <br />:37061.06652.878 <br />.699 <br />.93769 <br />40 <br />20 <br />.4746 <br />.5392 <br />1 <br />:1071.855 <br />.88020 <br />-40 <br />30 <br />.3502 <br />.3739 <br />1.0676 <br />2.856 <br />.675 <br />.93667 <br />30 <br />30 <br />.4772 <br />.5430 <br />'.1361 <br />1.1379 <br />.096 <br />1.842 <br />.87882 <br />• 30 <br />40 <br />.3529 <br />.3772 <br />1.OG88 <br />2.933 <br />.651' <br />.93565 <br />20 <br />40 <br />.4797 <br />.5467 <br />1.1397 <br />.0851.829 <br />.87743 <br />20 <br />60 <br />:3557 <br />.3505 <br />1.07400 <br />2.811 <br />.628 <br />.93462 <br />10 <br />50 <br />.4823 <br />.5505 <br />.1415 <br />.073 <br />1.816 <br />.87603 <br />10 <br />21 <br />.3584 <br />.3839 <br />1.0711 <br />.790 <br />.605 <br />.93358 <br />69 <br />29 <br />.4548 <br />.5543 <br />1.1434 <br />.003 <br />1.50.1 <br />.87462 <br />61 <br />10 <br />:3611 <br />.3872 <br />1.0723 <br />2.769 <br />.583 <br />.93253 <br />50 <br />10 <br />.4874 <br />.5531 <br />1.1452 <br />2 :052 <br />1.792 <br />.87321 <br />50 <br />20 <br />.3638 <br />.3906 <br />1.0736 <br />2.749 <br />.560 <br />.93148 <br />40 <br />'20 <br />.4899 <br />.5619 <br />1.1471 <br />2.041 <br />1.780 <br />.87178 <br />40 <br />30 <br />.3605 <br />.3939 <br />1.0748 <br />2.729 <br />.539 <br />.43042 <br />30 <br />' 30 <br />.4924 <br />.5655 <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 <br />.517 <br />.92935 <br />20 <br />40 <br />.4950 <br />.5696 <br />1.1509 <br />2.020 <br />1.756 <br />.S6892 <br />20 <br />50 <br />.3719 <br />.4006 <br />1.0773 <br />2.689 <br />.496 <br />.92827 <br />10 <br />50 <br />.4975 <br />.5735 <br />1.1528 <br />2.010 <br />1.744 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/>.&5113 <br />20 <br />50 <br />.4041 <br />.4417 <br />1.0932 <br />2.475 <br />2.264 <br />.91472 <br />10 <br />50 <br />.5275 <br />.6208 <br />1.17'r0 <br />1.896 <br />1.611 <br />.84959 <br />10 <br />66 <br />of <br />58 <br />of <br />- <br />Cosin. <br />Cotg. <br />Cosoo. <br />Sea. <br />Tan. <br />Sin. <br />Angle <br />Cosfn. <br />Cotg. <br />Cosec <br />Sac. <br />Tan. <br />Sin. <br />Angle <br />