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X. <br />Natural Trigonometrical Functions <br />Angle Sin. Tan. Sea Cosec Cotg. Cosin.. <br />Angle. Sin. Tan. Sec. Cosec- C <br />0 <br />0 <br />0 <br />0 <br />1. <br />00 <br />00 <br />1. <br />90 <br />8 - <br />.1392 <br />.1405 <br />1.000S <br />7.185 <br />7.115 <br />.00027 <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 />6.968 <br />.9898 <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 />1.0420 <br />114.6 <br />114.6 <br />.09996 <br />30 <br />-30 <br />.1478 <br />.1405 <br />1.0111 <br />6.706 <br />6.691 <br />.08902 <br />30 <br />40 <br />.0116 <br />.0116 <br />1.0001 <br />85.94 <br />85.94 <br />.9999 <br />20 <br />40 <br />.1507 <br />.1524 <br />1.0115 <br />G.6"u6 <br />6.561 <br />.0885 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />63.76 <br />63.75 <br />.9998 <br />10 <br />50 <br />.1536 <br />.1554 <br />1.0120 <br />G.512 <br />G.435 <br />.9SS14 <br />10 <br />1 <br />.0175 <br />.0175 <br />1.0002 <br />57.30 <br />57.29 <br />.9098 <br />89 <br />9 <br />.1584 <br />.1554 <br />1.0125 <br />6.394 <br />6.314 <br />.08769 <br />81 <br />10 <br />.0204 <br />.020 <br />1.0002 <br />49.11 <br />49.10 <br />.9997 <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 />42.95 <br />42.96 <br />.09973 <br />40 <br />20.1622 <br />.4279 <br />.1644 <br />1.0134 <br />0.1G6 <br />6.084 <br />.98676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.99000 <br />30 <br />30 <br />.1650 <br />.1673 <br />1.0139 <br />6.059 <br />5.976 <br />.95629 <br />30 <br />40 <br />.0291 <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 />5.571 <br />.9S5SO <br />20 <br />50 <br />.0320 <br />.032 <br />1.0005 <br />31.26 <br />31.24 <br />.90049 <br />10 <br />• 50 <br />.1708 <br />.1733 <br />1.0149 <br />5.555 <br />5.769 <br />.95531 <br />10 <br />2 <br />.0349 <br />.0349 <br />1.0006 <br />25.65 <br />28.64 <br />.9993 <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 />.9992 <br />50 <br />10 <br />.1765 <br />.1793 <br />1.0160 <br />.665 <br />5.576 <br />.98430 <br />50 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.5 <br />24.54 <br />.99917 <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 />30 <br />30 <br />.1822 <br />.1553 <br />1.0170 <br />5.488 <br />5.396 <br />.98325 <br />30 <br />40 <br />.0465 <br />.046 <br />1.0011 <br />21.49 <br />21.47 <br />.99592 <br />20 <br />40 <br />.1851 <br />.1BS3 <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 />.1850 <br />.1914 <br />.0181 <br />5.320 <br />5.226 <br />.08218 <br />10 <br />3 <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 <br />.0553 <br />1.0015 <br />18.10 <br />18.07 <br />.99547 <br />50 <br />10 <br />.1937 <br />.1974 <br />1.0193 <br />5.164 <br />5.056 <br />.OS107 <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.OS9 <br />.95050 <br />40. <br />30 <br />.0010 <br />.0612 <br />1.0019 <br />16.38 <br />10.35 <br />.09313 <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 />OW <br />1.0020 <br />15.64 <br />15.60 <br />.99795 <br />20 <br />40 <br />.2022 <br />.2065 <br />1.0211 <br />4.045 <br />4.843 <br />.97934 <br />20 <br />50 <br />.0669 <br />.0670 <br />1.0022 <br />14.98 <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 />.0693 <br />.0699 <br />1.0024 <br />14.34 <br />14.30 <br />.99756 <br />86 <br />12 <br />.2079 <br />.2:261.0223 <br />.1328 <br />4.810 <br />4.705 <br />.07815 <br />78 <br />10 <br />.0727 <br />.0729 <br />1.0027 <br />13.7 <br />13.73 <br />.9973 <br />50 <br />10 <br />.2108 <br />.2156 <br />1.0230 <br />.745 <br />.638 <br />.97754 <br />50 <br />20 <br />.0756 <br />.0758 <br />1.0029 <br />13.23 <br />13.20 <br />.99714 <br />40 <br />20 <br />.2136 <br />.2156 <br />1.0236 <br />.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 <br />.2164 <br />.2217 <br />1.0243 <br />4.620 <br />4.511 <br />.97nO <br />30 <br />40 <br />.0314 <br />.0316 <br />1.0033 <br />12.29 <br />12.25 <br />.99668 <br />20 <br />40 <br />.2193 <br />.2247 <br />1.0240 <br />4.5GO <br />1.449 <br />.97565 <br />20 <br />50 <br />.0843 <br />.084 <br />1.0036 <br />11.87 <br />11.83 <br />.00644 <br />10 <br />50 <br />.2221 <br />.2273 <br />1.0256 <br />.502 <br />4.390 <br />.97502 <br />10 <br />5 <br />.0872 <br />.087' <br />1•.0038 <br />11.47 <br />11.43 <br />.99619 <br />85 <br />13 <br />.2250 <br />.2309 <br />1.0263 <br />.445 <br />4.331 <br />.07437 <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 />.0920 <br />.0934 <br />1.0043 <br />10.76 <br />10.71 <br />.09507 <br />40 <br />20 <br />.2306 <br />.2370 <br />1.0277 <br />4.336 <br />.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 />'.. 90 <br />.23:4 <br />.2401 <br />1.0264 <br />4.284 <br />.16.5 <br />.97237 <br />30 <br />40 <br />.0957 <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 />1.0052 <br />.839 <br />9.788 <br />.99482 <br />10 <br />50 <br />.2391 <br />.2402 <br />1.0299 <br />.1S2 <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 />.133 <br />.011 <br />.97030 <br />76 <br />10 <br />.1074 <br />.1 <br />1. 00.18 <br />9.309 <br />9.255.99421 <br />50 <br />10 <br />.2447 <br />.2524 <br />1.0314 <br />.086 <br />3.962 <br />.90959 <br />60 <br />20 <br />.1103 <br />.1110 <br />1.0061 <br />9.065 <br />9.010 <br />.99390 <br />40 <br />20 <br />.2476 <br />.2555 <br />1.0321 <br />4.039 <br />.914 <br />.96587 <br />40 <br />30 <br />.1132'.1139 <br />.4142 <br />1.0065 <br />8.834 <br />8.777 <br />.09357 <br />30 <br />30 <br />.2504 <br />.2550 <br />1.0329'.994 <br />1.970 <br />.867 <br />.96815 <br />30 <br />40 <br />.1161 <br />.1169 <br />1.9068 <br />8.614 <br />8.556 <br />.99324 <br />20 <br />40 <br />.2532 <br />.2617 <br />1.0337 <br />3.949 <br />.821 <br />96742 <br />20 <br />50 <br />.1190 <br />.1L98 <br />1.0072 <br />8.405 <br />8.345 <br />.99290 <br />10 <br />50 <br />.2560 <br />.2648 <br />1.0345 <br />.906 <br />.776 <br />.96667 <br />10 <br />7 <br />.1219 <br />.1228 <br />1.0075 <br />.206 <br />3.144 <br />.9925 <br />83 <br />15 <br />.2538 <br />.2679 <br />1'.0353 <br />.864 <br />.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 />.822 <br />.689 <br />.96517 <br />50 <br />20 <br />.1276 <br />.1287 <br />1.0682 <br />7.834 <br />7.770 <br />.99182 <br />40 <br />20 <br />.2644 <br />.2742 <br />1.0369 <br />.782 <br />.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 <br />.2773 <br />1.0377 <br />.742 <br />.606 <br />.96363 <br />30 <br />40 <br />.1359 <br />.1348 <br />1.0090 <br />.496 <br />7.429 <br />.99-1 <br />'20 <br />40 <br />.2700 <br />.2805 <br />1.0386 <br />3.703 <br />3.566 <br />.96285 <br />20 <br />50 <br />.1363 <br />.1376 <br />1.0094 <br />.337 <br />7.269 <br />.9 <br />. 10 <br />50 <br />.2728 <br />.2836 <br />1.0394 <br />3.665 <br />3.526 <br />.96206 <br />10 <br />82 <br />74 <br />of <br />Cosin. <br />Colin. <br />Cotg. <br />Cosec <br />Seo. <br />Tan. <br />Sin. <br />Angle <br />CON. <br />Cosh <br />Cotg. <br />Cosec <br />Sea <br />Tan. <br />Sin. <br />Angie <br />p8 <br />Natural Trigonometrical Functions <br />Angle.Sln. Tan. Sec. Cosec-Cotg. Cosln. ' <br />Angle. Sin, Tan. Sea . Cosec Cotg. Cosin. <br />01 <br />16 <br />.275 <br />,.2567 <br />1.0403 <br />3.628 <br />3.487 <br />.9612 <br />74 <br />24 <br />.4007 <br />.4452 <br />1.0946 <br />2.459 <br />2.246 <br />.91355 <br />66 <br />10 <br />.2784 <br />.2890 <br />1.0412 <br />3:502 <br />3:450 <br />.9G04G <br />' 50 <br />.10 <br />.4004 <br />.4487 <br />1.0961 <br />2.443 <br />2.229 <br />.91236 <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 />2.427 <br />2.211 <br />.01116 <br />40 <br />30 <br />.254 <br />.2962 <br />1.0420 <br />3.521 <br />3.376 <br />.95SS2 <br />30 <br />30 <br />.4147 <br />.4557 <br />1.0989 <br />2.411 <br />2.194 <br />.90996 <br />30 <br />40 <br />.2868 <br />.2994 <br />1.0438 <br />3.457 <br />3.340 <br />.95709 <br />20 <br />40 <br />.4173 <br />.4592 <br />1.1004 <br />2.39 <br />2.177 <br />.90875 <br />20 <br />50 <br />.2S96 <br />.202C <br />1.044E <br />3.453 <br />3.305 <br />.05715 <br />10 <br />50 <br />.4200 <br />.4628 <br />1.1019 <br />2.3812. <br />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 />.2952.30891t045 <br />3.383 <br />3,237 <br />.95545 <br />' 50 <br />10 <br />.4253 <br />.46991.10492.3512.128.90507' <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 />.90383 <br />40 <br />30 <br />.3007 <br />.3153 <br />1.0486 <br />3.326 <br />3.172 <br />.05372 <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 />.4806 <br />1.1095 <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 />.95195 <br />10 <br />50 <br />.4358 <br />.4841 <br />] .1110 <br />2.295 <br />2.060 <br />.90007 <br />10 <br />18 <br />.3090 <br />.32401.0515 <br />3.236' <br />.078 <br />.95106 <br />72 <br />26 <br />.4334 <br />.4577 <br />1.1120 <br />.2812.050 <br />.89379 <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 />.89752 <br />50 <br />20 <br />.3145 <br />.3314 <br />1.0535 <br />3.179 <br />3.018 <br />.94924 <br />40 <br />2D <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 />.94532 <br />30 <br />30 <br />.4462 <br />.49S6 <br />1.1174 <br />2.2412.006 <br />.89493 <br />30 <br />40 <br />.3201 <br />.3373 <br />1.0555 <br />3.124 <br />2.060 <br />.94740 <br />29 <br />'40 <br />.4488 <br />.5022 <br />1.1190 <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 />.50;50 <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 />2.9H <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 />2.877 <br />.94457 <br />50 <br />10 <br />.4566 <br />.5132 <br />1.1240 <br />2.190 <br />1.949 <br />.88968 <br />50 <br />20 <br />.3311 <br />.3508 <br />1.0598 <br />3.020 <br />2.850 <br />.94361 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />.178 <br />1.935 <br />.88835 <br />40 <br />30 <br />.3338 <br />.3541 <br />1.0008 <br />2.996 <br />.824 <br />.94264 <br />30' <br />30 <br />.4617 <br />.5206 <br />1.1274 <br />.1061.921 <br />.83701 <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 />.5243 <br />1.1201 <br />2.1541.907 <br />.88566 <br />20 <br />50 <br />.3393 <br />.3607 <br />1.0631 <br />.947 <br />.773 <br />.94068 <br />10 <br />50 <br />.4669 <br />.5280 <br />1.1308 <br />).1421.S94 <br />.88431 <br />10 <br />20 <br />.3420 <br />.3640 <br />1.0642 <br />2.924 <br />747 <br />.93969 <br />70 <br />28 <br />.4695 <br />.5317 <br />.1328 <br />3.130 <br />1.831 <br />.58295 <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:]343 <br />.119 <br />1.868 <br />.83158 <br />50 <br />20.3475.37061.06652'.878 <br />.699.93769 <br />40 <br />90.4740�.i73921.1361 <br />2.1071.855.85020 <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 />1.1379 <br />J.0961.842 <br />.87882 <br />30 <br />40 <br />.3529 <br />.3772 <br />1.0688 <br />2.833 <br />2.651 <br />.93565 <br />20 <br />40 <br />.4797 <br />.5407 <br />1.1307 <br />2X85 <br />1.S20 <br />.87743 <br />20 <br />50 <br />.3557 <br />.35051.0700 <br />2,811 <br />2.628 <br />.93462 <br />10 <br />50 <br />.4823 <br />.5505 <br />1.1415 <br />2.073 <br />1.516 <br />.87603 <br />10 <br />21 <br />.3584 <br />.3839 <br />1.0711 <br />2.700 <br />1.60.5 <br />.93358 <br />69 <br />29 <br />.4848 <br />.5543 <br />1.]434 <br />2.063 <br />1.804 <br />.87462 <br />61 <br />10 <br />.3611 <br />.3572 <br />1.0723 <br />2.769 <br />2.583 <br />.93253 <br />50 <br />10 <br />.4874 <br />-1581 <br />1.1452 <br />.052 <br />1.792 <br />.87321 <br />50 <br />20 <br />.3638 <br />.3906 <br />1.0736 <br />2.749 <br />1.560 <br />.93145 <br />40 <br />20 <br />.4899 <br />.5619 <br />1.1471 <br />.041 <br />1.750 <br />.87178 <br />40 <br />30 <br />.3665 <br />.3939 <br />1.0748 <br />2.729 <br />2.539 <br />.93042 <br />30 <br />30 <br />.4924 <br />.5658 <br />1.1490 <br />.031 <br />1.767 <br />.87036 <br />30 <br />40 <br />.3G92 <br />.2973 <br />1.0760 <br />2.709 <br />.517.9'.935 <br />20 <br />40 <br />.4950 <br />.5696 <br />1.1509 <br />2.020 <br />1.75G <br />.86892 <br />20 <br />50 <br />.3719 <br />.4006 <br />1.0773 <br />2.650 <br />31.496 <br />.92827 <br />10 <br />50 <br />.4975 <br />.5735 <br />1.1528 <br />2.010 <br />1.744 <br />.85748 <br />10 <br />22 <br />.3746 <br />.4040 <br />1.0785 <br />2.G70 <br />h475 <br />.92718 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />2.0001.732 <br />.86603 <br />50 <br />10.3773.4074 <br />1.07082.G50 <br />.455.92609 <br />50 <br />10.5025.55121.15661.9901.720.86457 <br />50 <br />20 <br />.3800 <br />.4108 <br />1.0511 <br />2.632 <br />2.4.14 <br />.92499 <br />40 <br />20 <br />.5050 <br />.5851 <br />1.1556 <br />1.980 <br />1.709 <br />.86310 <br />40 <br />30 <br />.3827 <br />.4142 <br />1.0824 <br />2.613 <br 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