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g � <br />Natural Trigonometrical Functions Natural Trigonometrical 'Functions�`� <br />Angle. Sin. Tan. Sac. Cosec. Cotg. Cosin. <br />Angle. Sin. Tan. Soo. Cosec. Cotg., Cosin. <br />o� <br />-o• <br />0 <br />0 <br />0 <br />1. <br />00 <br />00 <br />1.• <br />90 <br />8 <br />.1392 <br />.1405 <br />1.0098 <br />7.155 <br />7.115 <br />.99027 <br />82 <br />10 <br />.0029 <br />.0029 <br />1.0412 <br />343.8 <br />343.8 <br />1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />GAGS <br />.08986 <br />50 <br />20 <br />.0058 <br />.0058 <br />- <br />171.9 <br />171.9 <br />.99998 <br />40 <br />20 <br />.1449 <br />.1465 <br />1.0107 <br />6.900 <br />6.827 <br />.98944 <br />40 <br />30.0087.0087 <br />:2840 <br />.2962 <br />1.04ig <br />114.6114.6 <br />3.376 <br />.99996 <br />30 <br />30 <br />11478 <br />.1495 <br />1.01116.766 <br />2.4112. <br />6.691 <br />.98902 <br />30 <br />40 <br />.6116 <br />.0116 <br />1.0001 <br />85.94 <br />85.04 <br />.09993 <br />20 <br />40 <br />.1507 <br />.1524 <br />1.0115 <br />6.636 <br />6.561 <br />.95358 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />65.76 <br />68.75 <br />-.99989 <br />10 <br />50 <br />.1536 <br />.1554 <br />1:0120 <br />6.512 <br />G.435 <br />.08814 <br />10 <br />1 . <br />.0175 <br />.0175 <br />1.0002 <br />:17.30 <br />57.29 <br />AM.', <br />89 <br />9 <br />.1564 <br />.1584 <br />1.0125 <br />6.394 <br />6.314 <br />.98769 <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 />42.98 <br />42.96 <br />.9997 <br />•40 <br />20 <br />.1622 <br />.1644 <br />1.0134 <br />6.166 <br />6.084 <br />.986767 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.09966 <br />30 <br />30 <br />:1650 <br />.1673 <br />1.0130 <br />6.059 <br />5.976 <br />.9SG29 <br />30 <br />40 <br />.0291 <br />.0291. <br />1.0004 <br />34.35 <br />34.37 <br />.09958 <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 />.99940 <br />10 <br />. '50 <br />.1708 <br />.1733 <br />1.0149 <br />5.555 <br />5.759 <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 />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 />1.01605. <br />665 <br />5.576 <br />.98430 <br />50 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.50 <br />24.54 <br />.99917 <br />40 <br />• .20 <br />.1704 <br />.1823 <br />1:0165 <br />5.575 <br />5.455 <br />.08378 <br />40 <br />30 <br />.0436 <br />.0437 <br />1.0010 <br />22.03 <br />22.90 <br />.99905 <br />30 <br />30 <br />AM <br />.1853 <br />1.0170 <br />5.458 <br />5.396 <br />.95325 <br />30 <br />40 <br />.0465 <br />.0406 <br />1.0011 <br />21.49 <br />21.47 <br />.99892 <br />20 <br />40 <br />.1851 <br />.18S3 <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 />.99578 <br />10 <br />50 <br />.1880 <br />.1914 <br />1-.01315.220 <br />2.215 <br />5.226 <br />.9&218 <br />10 <br />3 <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.05 <br />.99863 <br />87 <br />11 <br />:1908 <br />.1944 <br />1.0187 <br />5.241 <br />5.145 <br />.93163 <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 />.7974 <br />1.0193 <br />5.164 <br />5.066 <br />.98107 <br />50 <br />20 <br />.0551 <br />.0582 <br />1.0017 <br />17.20 <br />17.17 <br />.90831 <br />40 <br />20 <br />.1965 <br />.2004 <br />1.0199 <br />5.089 <br />4.959 <br />.98050 <br />40 <br />30 <br />.0610 <br />.OG12 <br />1.0019 <br />16.38 <br />16.35 <br />.09813 <br />30 <br />30 <br />.1094 <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 />.99795 <br />20 <br />40 <br />.2022 <br />•2065 <br />1.0211 <br />4.945 <br />4.543 <br />.07934 <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 />4.577 <br />4.773.07875 <br />.88431 <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 />.2126 <br />1.0223 <br />4.810 <br />4.705 <br />.97515 <br />78 <br />10 <br />.0727 <br />.0729 <br />1.0027 <br />13.76 <br />13.73 <br />.09736 <br />-'60 <br />10 <br />.2103 <br />.2156 <br />1.0230 <br />4.745 <br />4.638 <br />.97754 <br />50 <br />20 <br />.0756 <br />.0758 <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 />4.574 <br />.97692 <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 />.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 />.0846 <br />1.0036 <br />11.87 <br />11.83 <br />.99G44 <br />10 <br />50 <br />.2221 <br />.2278 <br />1.025G <br />4.502 <br />4.300 <br />.97502 <br />10 <br />5 <br />.0872 <br />.0875 <br />1.0038 <br />11.4711.43 <br />.605 <br />.99619 <br />85 <br />13 <br />.2250 <br />.2309 <br />1.0263 <br />4.445 <br />1.331 <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 />.2$39 <br />1.0270 <br />4.390 <br />4.275 <br />.07371 <br />50 <br />20 <br />.0929 <br />.0934 <br />1.0043 <br />10.76 <br />10.71 <br />.90567 <br />40 <br />20 <br />.2306 <br />.2370 <br />1.021 7 <br />4.336 <br />4.219 <br />.97304 <br />40 <br />30 <br />.0958 <br />.0963 <br />1.0046 <br />10.43 <br />10.39 <br />.09540 <br />30 <br />? 30 <br />.2334 <br />.2401 <br />1.0283 <br />.28.1 <br />4.165 <br />.97237 <br />30 <br />40 <br />.0987 <br />.0992 <br />'1. 0649 <br />10.13 <br />IO.OS <br />.99511 <br />20 <br />40 <br />•2363 <br />.2432 <br />1.0291 <br />4.2i2 <br />4.113 <br />.97169 <br />20 <br />-50 <br />.1016.1022 <br />.4006 <br />1.0052 <br />b.830 <br />9.758 <br />.99452 <br />10 <br />50 <br />.2391 <br />.2462 <br />1.0299 <br />4.152 <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 />1.0306 <br />4.133 <br />4.011 <br />.97030 <br />76 <br />10 <br />.1074 <br />.1080 <br />L0058 <br />9.300 <br />9.255 <br />.99421 <br />60 <br />10 <br />.2447.2524 <br />.5812 <br />1.6314 <br />4.086 <br />3.962 <br />.96959 <br />50 <br />20 <br />.1103 <br />.1110 <br />1.6061 <br />9.065 <br />9.010 <br />.99390 <br />40 <br />20 <br />.2476 <br />.2555 <br />1.0321 <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 />3.904 <br />9.867 <br />.96515 <br />30 <br />40 <br />.1161 <br />.1169 <br />1.0068 <br />5.614 <br />5.556 <br />.99324 <br />20 <br />40 <br />.2532 <br />.2617-1.0337 <br />1.162G <br />3.949 <br />3.821 <br />96742 <br />- 20 <br />.50 <br />.1190 <br />.1195 <br />1.0072 <br />3.90:18.345 <br />2.375 <br />.99290 <br />10 <br />50 <br />.25611 <br />.2643 <br />1.0345 <br />3.906 <br />3.776 <br />.96667 <br />19 <br />7 <br />.1219 <br />.1228 <br />1.0075 <br />8.206 <br />8.144 <br />.99255 <br />83 <br />15 <br />.2553 <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 />8.016 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2616 <br />.2711 <br />1.033613. <br />822 <br />3.659 <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 />.09144 <br />30 <br />30 <br />.2672 <br />.2773 <br />1.0377 <br />3.742 <br />3.606 <br />.96363 <br />90 <br />40 <br />.1334 <br />.1346 <br />1.0090 <br />.496 <br />7.429 <br />.99106 <br />20 <br />40 <br />.2700 <br />.2505 <br />1.0386 <br />3.703 <br />3.568 <br />.96285 <br />20 <br />50 <br />.1363 <br />.1376 <br />1..0099 <br />[7.337 <br />7.269 <br />.99067 <br />10 <br />5-0 <br />.2725 <br />.2836 <br />1.0394 <br />3.665 <br />3:526 <br />.96206 <br />10 <br />2 <br />2 <br />Angle <br />74 <br />Angle <br />Cosin. <br />Cotg. <br />Cosec <br />Sec. <br />Tan. <br />Sin. <br />Cosin. <br />Cotg. <br />Cosec. <br />See. <br />Ten. <br />Sin. <br />Angle. Sin. Tan.. Sec. Come. Cotg. Cosin. , <br />Angie. Sin. Tan. Sec. Cosec. Catg. Cosin. '- <br />Ol <br />18 <br />.2756 <br />.2867 <br />1.0403 <br />3.625 <br />3.487 <br />'-0612C <br />74 <br />24 <br />.4007 <br />.4452 <br />1.0946 <br />2.459 <br />2.246 <br />.9135 <br />66 <br />10 <br />.2784 <br />.2899 <br />1.0412 <br />3.592 <br />3.450 <br />.96046 <br />50 <br />10 <br />.409 <br />.4457 <br />1.0961 <br />2.443 <br />2.229 <br />.91236 <br />' 60 <br />20 <br />.2812 <br />.2931 <br />1.04-93 <br />3.556 <br />3.412 <br />.95964. <br />40 <br />20 <br />.4120 <br />.4522 <br />1.0975 <br />2.427 <br />2.211 <br />.91116 <br />40 <br />30 <br />:2840 <br />.2962 <br />1.04ig <br />3.521 <br />3.376 <br />.95882 <br />30 <br />30 <br />.4147 <br />.4557 <br />1.0989 <br />2.4112. <br />104 <br />.90906 <br />30 <br />40 <br />.2S68 <br />.2994 <br />1.0438 <br />3.487 <br />3.340 <br />.95799 <br />20 <br />-40 <br />.4173 <br />.4592 <br />1.1004 <br />2.39C <br />2.177 <br />.90875 <br />20 <br />50 <br />.2596 <br />.3026 <br />1.044E <br />3.453 <br />3.305 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4628 <br />1.1010 <br />2.381 <br />2.161 <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 />.46 G3 <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 />1.1064 <br />2.337 <br />2.112 <br />.00383 <br />40 <br />36 <br />.3007 <br />:3153 <br />1.0485 <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 />1.0495 <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 />20 <br />.50 <br />.3062 <br />.3217 <br />1.0505 <br />3.265 <br />3.108 <br />.95105 <br />10 <br />50 <br />.4353 <br />:4841 <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 />28 <br />.4354 <br />.487.7 <br />1.1126 <br />2.281 <br />2.050 <br />.89870 <br />64 <br />10 <br />.3118 <br />.3281 <br />1.0526 <br />3.2073.048 <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 />.94024 <br />40 <br />20 <br />.4436 <br />.49501.1158 <br />2.254 <br />2.020 <br />.89G23 <br />40 <br />30 <br />.3173 <br />.3346 <br />1.0545 <br />3.152 <br />2.989 <br />.94832 <br />30 <br />30 <br />.4462 <br />.4980 <br />1.1174 <br />2.2412. <br />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 />40 <br />.4458 <br />.5022 <br />1.1190 <br />.2281.991 <br />.59363 <br />20 <br />50 <br />.3228 <br />.3411 <br />1.0566 <br />3.098 <br />2.932 <br />.04646 <br />10 <br />''50 <br />.4514 <br />.5059 <br />1.1207 <br />2.215 <br />1.077 <br />.89232 <br />10 <br />-19 <br />.3256 <br />.3443 <br />1.0576 <br />3.072 <br />2.904 <br />.94552 <br />71 <br />27 <br />.4540 <br />.5095 <br />1.1223 <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 />.4506 <br />.5132 <br />1.1240 <br />2.1901.949 <br />.889G8 <br />-50 <br />20 <br />.3311 <br />3508 <br />1.0598 <br />3.020 <br />.S50 <br />.94361' <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />2.1,18 <br />1.935 <br />.88535 <br />40 <br />30 <br />.3338 <br />.3541 <br />1.0608 <br />.990 <br />.824 <br />.94204 <br />30 <br />30 <br />.4617 <br />.5206 <br />1.1274 <br />a.166 <br />L.921 <br />.88701 <br />30 <br />40 <br />.3365 <br />.3574 <br />1.0019 <br />2.971 <br />a.798 <br />.194167 <br />20 <br />40 <br />.4643 <br />.5243 <br />.1291 <br />2.1541.907 <br />.88566 <br />20 <br />50 <br />.3393 <br />.3607 <br />1.06312.947 <br />:773 <br />:94066 <br />10 <br />50 <br />.4669 <br />.5250 <br />1.1305 <br />3.142 <br />1.804 <br />.88431 <br />10 <br />20 •.3420 <br />.3640 <br />1.0642 <br />2.024 <br />2.747 <br />.93960 <br />70 <br />28 <br />.4695 <br />.5317 <br />1.1326 <br />.130 <br />L881 <br />.88295 <br />62. <br />• 10 <br />.3448 <br />.3673 <br />1.0653 <br />2.900 <br />1.723 <br />.93869 <br />50 <br />10 <br />.4720 <br />.5354 <br />1.1343 <br />.119 <br />1.868 <br />.881.58 <br />50 <br />20 <br />.3475 <br />.3700 <br />1.0665 <br />2.578 <br />3.699 <br />.93769 <br />40 <br />20 <br />.4746 <br />.5392 <br />1.1361 <br />.107 <br />1.555 <br />:58020 <br />40 <br />30 <br />.3502 <br />.3739 <br />1.0676 <br />.856 <br />.675.93667 <br />30 <br />30.4772.5430 <br />.1379 <br />.09G,.942.87832 <br />30 <br />40 <br />.3529 <br />3772 <br />.06882.833 <br />.651 <br />.93565 <br />' 20 <br />40 <br />.4797 <br />.5467 <br />1.1397 <br />.0851.829 <br />.87743 <br />20 <br />50 <br />.3557 <br />.3805 <br />1.0700 <br />2.811 <br />2.628 <br />.93462 <br />10 <br />50 <br />.4823 <br />.5505 <br />1.1415 <br />2.073 <br />1.816 <br />.87603 <br />10 <br />21 <br />.3584 <br />.3839 <br />1.0711 <br />2.790 <br />.605 <br />.93358 <br />69 <br />29 <br />.484S <br />.5543 <br />1.1434 <br />2.063 <br />1.804 <br />.87462 <br />61 <br />• 10 <br />.3611 <br />.3572 <br />1.0723 <br />2.769 <br />.583 <br />.93253 <br />b0 <br />10 <br />.4874 <br />.5551 <br />1.1452 <br />.052 <br />1.792 <br />.87321 <br />50 <br />20 <br />.3633 <br />.3906 <br />1.0736 <br />2.749 <br />1.560 <br />.93148 <br />40 <br />20 <br />.4599 <br />.5619 <br />1.1471 <br />2.041 <br />1.780 <br />.87173 <br />40 <br />30 <br />.3665 <br />.3939 <br />1.0748 <br />2.729 <br />Z.539 <br />.93042 <br />30 <br />30 <br />.4924 <br />.5658 <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 />2.617 <br />.92935 <br />20 <br />40 <br />.4950 <br />.5696 <br />1.1509 <br />2.020 <br />1.756.86592 <br />20 <br />50 <br />.3719 <br />.4006 <br />1.0773 <br />2.639 <br />2.496 <br />.92327 <br />10 <br />50 <br />.4075 <br />.5735 <br />1.1523 <br />.010 <br />1.744 <br />.86748 <br />10 <br />22 <br />[3746 <br />.4040 <br />1.0755 <br />2.670 <br />2.475 <br />.92718 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />92.000 <br />1.732 <br />.56603 <br />60 <br />10 <br />.3773 <br />.4074 <br />1.0798 <br />2.650 <br />1.455 <br />.92609 <br />50 <br />10 <br />.5025 <br />.5812 <br />1.1566 <br />1..900 <br />1.720 <br />.86457 <br />50 <br />20 <br />.3800 <br />.4108 <br />1.0811 <br />2.632 <br />.434 <br />.92499 <br 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