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I� <br />Natural Trigonometrical Functions <br />Angle. Sin. Tan. Sec. Cosec. Cotg. Cosin. <br />Angle. Sin. Tan. Sec. Cosec Cotg. Cosin. <br />o I <br />o• <br />0 <br />0 <br />0 <br />1. <br />Ca <br />00 <br />1. <br />90. <br />8 . <br />.1392 <br />.1405 <br />1.0098 <br />7.155 <br />7.115 <br />.09027 <br />82 <br />10 <br />.0029 <br />.0020 <br />1 412 <br />.0 <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 />.08986 <br />50 <br />20 <br />.0058 <br />.0058 <br />1.04-03 <br />171.9 <br />171.9 <br />.99993 <br />40 <br />20 <br />.1449 <br />.1465 <br />1.0107 <br />6.900 <br />6.827 <br />.95944 <br />40 <br />30 <br />.0087 <br />.0087 <br />I.W9 <br />114.6 <br />114.6 <br />.90996 <br />• 30 <br />30 <br />.1478 <br />.1495 <br />1.0111 <br />6.766 <br />6.691 <br />.08902 <br />30 <br />40 <br />.0116 <br />.011G <br />1.0001 <br />85.94 <br />85.94 <br />.9999.3 <br />20 <br />40 <br />.1507 <br />.1524 <br />1.0115 <br />6.G36 <br />6.501 <br />.98555 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />03.76 <br />68.75 <br />.99989 <br />10 <br />50 <br />.1536 <br />.1554 <br />1.0120 <br />G.512 <br />6.435 <br />.93814 <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 />.1"584 <br />1.0125 <br />6.394 <br />6.314 <br />.08769 <br />81 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49.11 <br />49.10 <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 />42.93 <br />42.96 <br />.99973 <br />40 <br />20 <br />.1622 <br />.1644 <br />1.0134 <br />6.166 <br />6.634 <br />.95676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />33.19 <br />.99066 <br />30 <br />30 <br />.1650 <br />.1673 <br />1.0139 <br />6.059 <br />5.976 <br />.9S62fl <br />30 <br />40 <br />.0291 <br />.0291 <br />1.0004 <br />34.35 <br />34.37 <br />.99958 <br />20 <br />40 <br />.1679 <br />.1703 <br />1.0144 <br />5.955 <br />5.871 <br />.93580 <br />20 <br />50 <br />.0320 <br />.0320 <br />1.0005 <br />31.20 <br />31.24 <br />.9990 <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 />.0340 <br />1.0006 <br />28.65 <br />28.64 <br />.990988 <br />72 <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 />.99929 <br />50 <br />10 <br />.1765 <br />.1703 <br />1.0160 <br />5.665 <br />5.576 <br />.98430 <br />50 <br />20 <br />.0407 <br />.0407'1.0008 <br />1.0535 <br />24.56 <br />24.54 <br />.99917 <br />40 <br />20 <br />.1794 <br />.1823 <br />1.0165 <br />5.575 <br />5.4&5 <br />.98378 <br />40 <br />'30 <br />.0436 <br />.0437 <br />1.0010 <br />22.93 <br />22.90 <br />.90905 <br />30 <br />30 <br />.1622 <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 />46 <br />.1851 <br />.1353 <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 />.99878 <br />10 <br />50 <br />.1880 <br />.1914 <br />1.0131 <br />5.320 <br />5.226 <br />.93218 <br />10 <br />19 <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.03 <br />.99863 <br />87 <br />11 <br />.1903 <br />.1944 <br />1.0187 <br />5.241 <br />5.145 <br />.98163 <br />79 <br />10 <br />.0552 <br />.0553 <br />1.0015 <br />18.10 <br />18.07 <br />.99847 <br />50 <br />10 <br />.1937 <br />.1074 <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 />:1.089 <br />4.989 <br />.9805040 <br />40 <br />30 <br />.0610 <br />.0612 <br />1.0019 <br />16.35 <br />1G.35 <br />.99S13 <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 />.0641 <br />1.0020 <br />15.64 <br />15.60 <br />.90705 <br />20 <br />40 <br />.2022 <br />.2065 <br />1.0211 <br />4.945 <br />4.943 <br />.97934 <br />20 <br />50 <br />.0669 <br />.0670 <br />1.0022 <br />14.96 <br />14.92 <br />.OD776 <br />10 <br />50 <br />.2051 <br />.2095 <br />110217 <br />4.877, <br />4.773 <br />.97375 <br />10 <br />4 <br />.0098 <br />.0699 <br />1.0024 <br />14.34 <br />14.30 <br />.99756 <br />88 <br />12 <br />.2079 <br />.2126 <br />1.0223 <br />4.810 <br />4.705 <br />9781570 <br />62 <br />10 <br />:0727 <br />.0729 <br />1.0027 <br />13.76 <br />13.73 <br />M73C <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 />.0758 <br />1.0020 <br />13.23 <br />13.20 <br />.09714 <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 <br />.99692 <br />30 <br />30.2164.22171_02434.6204.511 <br />12379 <br />2.006LS42.8780 <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 />.0343 <br />.089 <br />1.003 G <br />I1 8 7 <br />11 S3 <br />.9 44 <br />96 <br />10 <br />50. <br />2_ _I <br />_2 <br />. r3 <br />1 0256 <br />5 <br />.024."u00.9ra0- <br />10 <br />5 <br />.0512 <br />.037 <br />1.0038 <br />11.47 <br />11:43 <br />.90619 <br />85 <br />13 <br />r <br />.2..a0 <br />.2309 <br />1.0263 <br />4.495 <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 />4.275 <br />.97371 <br />50 <br />20 <br />.0929 <br />.0934 <br />1,0043 <br />10.7C <br />10.71 <br />.99567 <br />40 <br />20.2306.23701.0277'2336 <br />4.219.97304 <br />40 <br />30 <br />.0953 <br />.0963 <br />1.0046 <br />10.43 <br />10.39 <br />.99540 <br />30 <br />30 <br />.2334 <br />.2401 <br />1.02S4 <br />1.294 <br />4.165 <br />.97237 <br />30 <br />40 <br />.0937 <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 />.23-2 <br />4.113 <br />.97169 <br />20 <br />50 <br />.1016 <br />.1022 <br />1.0052 <br />9.839 <br />9.738 <br />.09482 <br />10 <br />50 <br />.2391 <br />.2462 <br />1.0290 <br />1.182 <br />4.061 <br />.97100 <br />10 <br />9 <br />.1045 <br />.1051 <br />1.0055 <br />9.507 <br />9.514 <br />.99452 <br />84 <br />14 <br />.2419 <br />.2493 <br />1.0306 <br />4.1.3 <br />4.011 <br />.0030 <br />76 <br />10 <br />.1074 <br />.IOSO <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 />.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 />.2555 <br />20321 <br />4.039 <br />3.914 <br />.96857 <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 />.9G815 <br />30 <br />40 <br />.1161 <br />.1169 <br />1.0063 <br />8.614 <br />8.556 <br />.99324 <br />20 <br />40 <br />.2532 <br />.2617 <br />1.0337 <br />3.040 <br />3.S21 <br />96742 <br />20 <br />50 <br />.1190 <br />.1193 <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 />9.206 <br />3.144 <br />.99255 <br />83 <br />15 <br />.2585 <br />.2679 <br />1.0353 <br />3.864 <br />3.732 <br />.96593 <br />75 <br />10 <br />.1243 <br />.1257 <br />1.0079 <br />8.016 <br />7.053 <br />.99219 <br />50 <br />10 <br />.2616 <br />.2711 <br />20361 <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 />3.732 <br />3.647 <br />.96440 <br />40 <br />SO <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 />20090 <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 />50.1363 <br />.4041 <br />.]3761.0099 <br />1.0932 <br />7.337 <br />7.269 <br />.!19087 <br />10 <br />50 <br />.2728 <br />.283D <br />1.0394 <br />3.6053 <br />526 <br />.96206 <br />10 <br />82 <br />or <br />Angle <br />74 <br />or <br />Angle <br />Cosin. <br />Cotg. <br />Cosec <br />Sec. <br />Tan. <br />Sin. <br />Cosin. <br />Cotg. <br />Cosec. <br />Sec. <br />Tari <br />Sin. <br />BI <br />Natural Trigonometrical Functions <br />Angle. Sin. Tan. Sea Cosec. Cotg. Casin. <br />Angle. Sin. Tan., Sec. Cosec. Cotg. Cosin.. <br />O / <br />O / <br />18 <br />.2756 <br />.2867 <br />1.0403 <br />3.625 <br />3.487 <br />.06126 <br />74 <br />24 <br />.4067 <br />.4452 <br />1.0946 <br />2.459 <br />2.246 <br />.91355 <br />68 <br />1 0 <br />. 2754 <br />.2 0 <br />89 <br />1 412 <br />.0 <br />'92 <br />3.0 <br />3.4` <br />00 <br />.960 6 <br />4' <br />u0. <br />W <br />1 0.09 <br />.4094 <br />4487 <br />2.0961 <br />2 A4 3 <br />2.22 9 <br />123 <br />.9 6 <br />60 <br />20 <br />.2812 <br />.2931 <br />1.04-03 <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 />.2952 <br />I.W9 <br />3.521 <br />3.376 <br />.95882 <br />30 <br />30 <br />.4147 <br />.4557 <br />1.11989 <br />2. 4112.104 <br />.90996 <br />30 <br />40 <br />.2868 <br />.2994 <br />1.043S <br />3.457 <br />3.340 <br />.95799 <br />20 <br />40 <br />.4173 <br />.45921.1004 <br />2.3PO <br />2.177 <br />.90875 <br />20 <br />50 <br />.289E <br />.3026 <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 />2.161 <br />.00753 <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 />3.358 <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 />.95459 <br />40 <br />20 <br />.4279 <br />.4734 <br />1.IOG4 <br />2.33. <br />2.112 <br />.90383 <br />40 <br />:0 <br />.3007 <br />.3153 <br />1.0455 <br />3.328 <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 />.3195 <br />1.0495 <br />3.295 <br />3.140 <br />.95284 <br />20 <br />40.4331 <br />.4806 <br />1.1095 <br />2.309 <br />2.081 <br />.00133 <br />20 <br />60 <br />.3062 <br />.3217 <br />1.0505 <br />3.265 <br />3.108 <br />.05195 <br />10 <br />60 <br />.4358 <br />.4341 <br />1.1110 <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 />.4877 <br />1.1126 <br />2.281 <br />2.050 <br />.89879 <br />64 <br />10 <br />.3118 <br />.3281 <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 />2.035 <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 />1.1158 <br />2.254 <br />2.020 <br />.89623 <br />40 <br />30 <br />.3173 <br />.3346 <br />1.0545 <br />3.152 <br />2.989 <br />.94332 <br />30 <br />30 <br />.4462 <br />.49S6 <br />1.1174 <br />2.241 <br />2,006 <br />.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 />.4488 <br />.5022 <br />1.1190 <br />2,226 <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 />1.1207 <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 />1.1223 <br />x.203 <br />1.953 <br />.89101 <br />63 <br />10 <br />.3283 <br />.3476 <br />1.0587 <br />3:046 <br />1.877 <br />.94457 <br />50 <br />10 <br />.4566 <br />.5132 <br />L.1240 <br />.190 <br />1.949 <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 />L.1257t <br />.178 <br />1.935 <br />.88835 <br />40 <br />30 <br />.3338 <br />.3541 <br />1.0608 <br />2.996 <br />.524 <br />.94204 <br />30 <br />30 <br />.4617 <br />.5206 <br />.1274 <br />.166 <br />1.921 <br />.38701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0619 <br />2.971 <br />.798 <br />.94167 <br />20 <br />40 <br />.4643 <br />.5`243 <br />.1291 <br />.154 <br />1.907 <br />.58566 <br />20 <br />50 <br />.3393 <br />.3607 <br />1.0631 <br />.947 <br />.773 <br />.04088 <br />10 <br />50 <br />.4669 <br />.5250 <br />.1303 <br />2.142 <br />1.894 <br />.88431 <br />10 <br />20 <br />.3420 <br />.3640 <br />1.0642 <br />2.029 <br />.747 <br />.93969 <br />70 <br />28 <br />.4695 <br />.5317 <br />.1326 <br />.130 <br />1.551 <br />.SS2".5 <br />62 <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 />3.119 <br />1.868 <br />.88158 <br />50 <br />20 <br />.3475 <br />.3700 <br />1.0665 <br />2.878 <br />3,699 <br />.93769 <br />40 <br />20 <br />.4746 <br />.5392 <br />1.1351 <br />.1071.855 <br />.88020 <br />40 <br />30 <br />.3502 <br />.3739 <br />L. 0676 <br />2. &50 <br />.675.93667 <br />30 <br />30.4772.5430 <br />12379 <br />2.006LS42.8780 <br />30 <br />40 <br />.3529 <br />.3772 <br />1.06SS <br />2.&13 <br />1.661 <br />.93565 <br />20 <br />40 <br />.4797 <br />.5467 <br />L.1397 <br />2.085 <br />1.829 <br />.57743 <br />20 <br />60 <br />.3557 <br />.3805 <br />1.0700 <br />2.811 <br />).028 <br />.93462 <br />10 <br />50 <br />.4923 <br />5505 <br />1.1415 <br />2.0731.816.57603 <br />10 <br />21 <br />.3584.3&991.0711n <br />.790 <br />.605.9335869 <br />29 <br />.484B <br />554S <br />1.1434 <br />2.0631.SO4.8746..61 <br />10 <br />.3GII <br />.3872 <br />1.0723 <br />.769 <br />2.583 <br />.03253 <br />50 <br />10 <br />.4874 <br />.5591 <br />1.1452 <br />3.052 <br />1.792 <br />.57321 <br />50 <br />20 <br />.9638 <br />.3906 <br />1.0736 <br />2.740 <br />2.560.93148 <br />40 <br />20.4599.5619LIM'.0411.750.87178 <br />40 <br />30 <br />.3665 <br />.3939 <br />1.0743 <br />o <br />2.7_9 <br />.539 <br />.93042 <br />30 <br />30 <br />v <br />.49..4 <br />.5658 <br />1.1490 <br />2.031 <br />1.767 <br />.87036 <br />30 <br />40 <br />.3692 <br />.3973 <br />t.0760 <br />2.709 <br />2.517.92935 <br />20 <br />40.4950.56961.15091.0201.756.SOS92 <br />20 <br />50 <br />.3719 <br />.4906 <br />1.0773 <br />2.689 <br />2.496 <br />.02827 <br />10' <br />50 <br />.4975 <br />.5735 <br />1.1523 <br />2.010 <br />1.744 <br />.56743 <br />10 <br />22 <br />.3746 <br />.4040 <br />1.0785 <br />2.670 <br />2.475 <br />.92718 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />2,0001.732 <br />.85603 <br />60 <br />10 <br />.3773 <br />.4074 <br />1.0703 <br />2.650 <br />2.455 <br />.92609 <br />50 <br />10 <br />.5025 <br />.5812 <br />1.1566 <br />11990 <br />1.720 <br />.56457 <br />58 <br />20 <br />.3300 <br />.4103 <br />1.0811 <br />2.632 <br />1.434 <br />.92400 <br />40 <br />20 <br />.5050 <br />.5651 <br 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