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7�+ <br />x / <br />Natural Trigonometrical Functions <br />Angle. Wn. Tan. Sec, Cosec. Cot. Cosin. <br />Angle. Sin. Tan. Sec. Cosec. Cots. Coain. <br />of <br />o.. <br />0 <br />0 <br />0 <br />1, <br />oo <br />w <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 />1,0412 <br />343.8 <br />343.8 <br />1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.9 <br />.98988 <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 />6.900 <br />6.82 <br />,98944 <br />40 <br />30 <br />.0087 <br />.0087 <br />1,0421 <br />114.6 <br />114.6 <br />.99996 <br />30 <br />30 <br />.1478 <br />.1495 <br />1.0111 <br />6.7$6 <br />6.69 <br />.98902 <br />30 <br />W <br />.0116 <br />.0116 <br />1.0001 <br />65.94 <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 />.9999E <br />10 <br />50 <br />1536 <br />J5541.012 <br />1.1019 <br />6,512 <br />6.43 <br />.98814 <br />10 <br />1 <br />.0175.01751.000257,3057.29,9998 <br />.3057 <br />1,0457 <br />3.420 <br />3.271 <br />.95630 <br />69 <br />9 <br />.1564.15841.01256.3946,314.987_6981 <br />.4603 <br />1.1034 <br />2.366 <br />2.145 <br />MCI <br />65 <br />y 10 <br />.0204 <br />.0204 <br />1.0002 <br />49.11 <br />49.10 <br />.99079 <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />6.277 <br />6.197 <br />:98723 <br />60 <br />1 y 20 <br />.0333 <br />.0233 <br />1.0003 <br />42.98 <br />42.96 <br />.99973 <br />40 <br />20 <br />.1622 <br />.16441, <br />0134 <br />6.166 <br />6.034 <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 />5.978 <br />.98629 <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 />6.955 <br />5.871 <br />.985S0 <br />20 <br />50 <br />.0320 <br />.0320 <br />1. W05 <br />31.26 <br />31.24 <br />.99949 <br />10 <br />60 <br />.1708 <br />,1733 <br />1.0149 <br />5.855 <br />6.769 <br />.98531 <br />10 <br />2 <br />.0349 <br />.0349 <br />1.0006 <br />28.65 <br />28.64 <br />.99939 <br />68 <br />16 <br />.1736 <br />.1763 <br />1.0154 <br />5.759 <br />5.671 <br />.98451 <br />80 <br />10 <br />.0378 <br />.0378 <br />1.0007 <br />26.45 <br />20.43 <br />W929 <br />50 <br />10.1765 <br />.4410 <br />.1793 <br />1.0160 <br />5.665 <br />5.576.98430 <br />.59752 <br />60 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.50 <br />24.54 <br />.99917 <br />40 <br />20 <br />,1794 <br />.1823 <br />1.0165 <br />5.575 <br />6.485 <br />.98378 <br />40 <br />30 <br />.0438 <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 />5.498 <br />5.896 <br />.98325 <br />30 <br />40.0465.04661.001121.4921.47:99892 <br />.32D1 <br />.3378 <br />1.0555 <br />3.124 <br />2.960 <br />.94740 <br />20 <br />40.1851.18831.01786,403 <br />.4483 <br />.5022 <br />1.1190 <br />2.228 <br />5,309.98272 <br />.89363 <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 />1.0181 <br />6.320 <br />5.225 <br />.98218 <br />10 <br />8 <br />.0523 <br />-.05241.001 <br />19.11 <br />19.08 <br />.99863 <br />87 <br />11 <br />.1908 <br />.1944 <br />1.0187 <br />5.241 <br />,145 <br />,98183 <br />79 <br />10 <br />.0552 <br />.05531 <br />' 0016 <br />18,10 <br />18.07 <br />•99847 <br />50 <br />10 <br />.1937 <br />.1974 <br />1.0193 <br />5.164 <br />5.066 <br />.08107 <br />60 <br />20 <br />.0681 <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 />.93050 <br />40 <br />30 <br />.0610 <br />.0612 <br />1.0019 <br />10.38 <br />I6.35 <br />.99813 <br />30 <br />30 <br />.1994 <br />.2035 <br />1.0205 <br />5.010 <br />4.915 <br />.97992 <br />30 <br />40 <br />.0640 <br />.0641 <br />1.0020 <br />15,04 <br />15.60 <br />.99795 <br />20 <br />40 <br />,2022 <br />.2065 <br />1.0211 <br />4.945 <br />4.943 <br />.07934. <br />20 <br />F)O <br />.0669 <br />.0670 <br />1.0022 <br />14.96 <br />14.92 <br />.99776 <br />10 <br />60 <br />.2051 <br />.2095 <br />1.0217 <br />4,877 <br />4.773.97875 <br />10 <br />4 <br />.0698 <br />.0$99 <br />1.0024 <br />14.34 <br />14.30 <br />.99766 <br />66 <br />12 <br />.2879 <br />.2120 <br />1.0223 <br />:810 <br />4.705 <br />.97815 <br />9 <br />10 <br />.0727 <br />.0729 <br />1.0027 <br />13.70 <br />13.73 <br />•09738 <br />50 <br />10 <br />.2108 <br />.2156 <br />1.0230 <br />4.745 <br />4,638 <br />,97754 <br />50 <br />20 <br />.0758 <br />.0758 <br />1.0029 <br />13.23 <br />13.20 <br />.99714 <br />40 <br />20,2138 <br />.4746 <br />,21861.0238 <br />1.1361 <br />4.882 <br />.574 <br />.97892 <br />40 <br />30 <br />.0785 <br />.0787 <br />t.0031 <br />12.7512.71 <br />2.675 <br />.99692 <br />30 <br />30 <br />.2164 <br />,2217 <br />1.0243 <br />4.620 <br />4.611 <br />.97630 <br />30 <br />40 <br />.0814-08161-0113312.2912.25' <br />.3772 <br />1.0688 <br />2.833 <br />2.651 <br />99668 <br />20 <br />40 <br />,2193 <br />,2247 <br />1.0249 <br />.560 <br />,449 <br />.97566 <br />20 <br />60 <br />.0843 <br />.0840 <br />1.0036 <br />11.8 <br />11,83 <br />9964 <br />10 <br />50 <br />.2221 <br />,2278 <br />1.0250 <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 />.99819 <br />85 <br />13 <br />.2250 <br />.2309 <br />1.0263 <br />4.446 <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 />110 <br />.2278 <br />.2339 <br />1.0270 <br />4.390 <br />4.276 <br />.97371 <br />50 <br />20 <br />.0929 <br />,0034 <br />1.0043 <br />10.76 <br />10,71 <br />.99567 <br />40 <br />20 <br />.2306 <br />.2370 <br />1.0277 <br />4.336 <br />4.210 <br />.97304 <br />40 <br />30.0958.09631.004610,4310.39.99540 <br />.3685 <br />.3939 <br />1.0748 <br />2.720 <br />2.539 <br />.93042 <br />30 <br />30 <br />.2334 <br />.2401 <br />1.0284 <br />4.284 <br />4.165.97237 <br />,87036 <br />30 <br />40 <br />.0987 <br />.0992 <br />1.0049 <br />20.13 <br />10.03 <br />P931I <br />20 <br />40.2363.2432 <br />.4950 <br />.5696 <br />1.0291 <br />4.232 <br />4.113.07169 <br />.86892 <br />20 <br />60 <br />.1018 <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 />1.001 <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 />11,oll <br />.97030 <br />76 <br />.10 <br />1074 <br />.1080 <br />1. 0058 <br />9.309 <br />9.2 55 <br />.0421 <br />50 <br />10 <br />.2447 <br />.2524 <br />1.0314 <br />4.086 <br />3.962.96959 <br />.86457 <br />50 <br />20 <br />1103 <br />.1110 <br />1.00619.065 <br />9.010 <br />.9939 <br />40 <br />20 <br />.2478 <br />.2555 <br />I.G321 <br />4.039 <br />3.914.96887 <br />.86310 <br />40 <br />30 <br />.1132 <br />.1139 <br />1.0065 <br />5.834 <br />8,777 <br />.99357 <br />30 <br />30 <br />.2504 <br />.25881.0329 <br />1.16061.970 <br />3.994 <br />3.867 <br />.96815 <br />30 <br />40 <br />.1151 <br />.1169 <br />1.00688.6148.556 <br />2.595 <br />2.394 <br />.0024 <br />20 <br />40 <br />.2Z32 <br />.2617 <br />1.0337 <br />3,949 <br />1.821.9$742 <br />.86015 <br />20 <br />50 <br />.1190 <br />.1198 <br />1.0072 <br />8.405 <br />8.345 <br />,99290 <br />10 <br />50 <br />.2560 <br />,2643 <br />1.0345 <br />3.005 <br />1.775 <br />.96667 <br />10 <br />7 <br />.1210 <br />.12281.0075 <br />1.0864 <br />8.200 <br />8.144 <br />.99255 <br />93 <br />15 <br />.2588 <br />.2679 <br />1.0353 <br />3.864 <br />.732 <br />.98593 <br />5 <br />10 <br />,1243 <br />.1257 <br />1.0079 <br />8.016 <br />7,953 <br />Mm <br />50 <br />10 <br />.2516 <br />.2711 <br />1.0361 <br />.822 <br />, 080 <br />, 9017 <br />50 <br />20 <br />.1276 <br />.1287 <br />1.0082 <br />7.834 <br />7.770 <br />.99182 <br />40 <br />20 <br />.2644 <br />.2742 <br />1.0389 <br />.782 <br />.647 <br />.90440 <br />40 <br />30 <br />130571,00867.661 <br />1.09042,50 <br />7.596 <br />.99144 <br />30 <br />30 <br />,2672 <br />.2773 <br />1.0377 <br />.742 <br />605 <br />.96363 <br />30 <br />4061.00907.4967,429.9910 <br />831.09182.4912.282.91590 <br />20 <br />40.2700.28051.03863.703 <br />566.96285 <br />,85112 <br />20 <br />50 <br />1,13(W.1376 <br />1711.0932 <br />1,00947.3377.269,99067 <br />2.475 <br />2.284 <br />.91472 <br />10 <br />50.2728.26381,03043,6853.52$.96208 <br />,5^75 <br />.6208 <br />E.177 <br />1,89 <br />1,611 <br />.8495 <br />10 <br />f <br />62 <br />o+ <br />Angle <br />74 <br />or <br />Cosln. <br />Cott, <br />Cesec, <br />Sao. <br />Tan. <br />Sin. <br />Cosln. <br />Cotg. <br />Cosec <br />Sec. <br />Ten. <br />Sin. Angle <br />Natural Trigonometrical Functions XI <br />Angle. Sin. Tan. See. Cosec. Cotg. Cosin. <br />Angle. Sin, Tan. Sec. Cason. Colg. Cosin. <br />16 <br />.2756 <br />.2867 <br />1.0403 <br />3.62^ <br />3.987 <br />.96126 <br />74 <br />24 <br />.4067 <br />.4452 <br />1.0946 <br />2.4592.248 <br />,91355 <br />66 <br />10 <br />2784 <br />.2899 <br />1,0412 <br />3.592 <br />3.45 <br />.96046 <br />50 <br />10 <br />.4094 <br />.4487 <br />1.0961 <br />2.443 <br />2.229 <br />.01236 <br />50 <br />2 <br />.2312 <br />.2931 <br />1.0423 <br />31.55 <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 />3 <br />.2840 <br />.2962 <br />1,0421 <br />3.6213 <br />. SM•95832 <br />30 <br />30 <br />.4147 <br />.4557 <br />1.0989 <br />2.411 <br />2.194 <br />.90996 <br />30 <br />4 <br />.2868 <br />.2994 <br />1 .0438 <br />3.497 <br />3.34 <br />.95799 <br />20 <br />40 <br />.4173 <br />.4592 <br />1. 1004 <br />2.39 a <br />2.177 <br />.90875 <br />20 <br />50 <br />.289 <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 />2.3812. <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 />.4603 <br />1.1034 <br />2.366 <br />2.145 <br />MCI <br />65 <br />10 <br />.2952 <br />.3089 <br />1.0468 <br />3.388 <br />3.23 <br />.95545 <br />50 <br />10 <br />.4253 <br />.4890 <br />1.1049 <br />2.351 <br />2.128 <br />.90507 <br />50 <br />20.2979 <br />.3121 <br />1.0476 <br />3.357 <br />3.204 <br />05459 <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 />1.0485 <br />3.326 <br />3.172 <br />.95372 <br />30 <br />30 <br />.4305 <br />.4770 <br />I.1079 <br />2.323 <br />2.097 <br />.90259 <br />30 <br />40 <br />.3035 <br />.3185 <br />1.04+05 <br />3.295 <br />3.140 <br />.95284 <br />20 <br />40 <br />.4331 <br />.46061.1095 <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 />1.1110 <br />2.295 <br />2.066 <br />.90007 <br />10 <br />16 <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 />.281 <br />2.050 <br />.8987964 <br />10 <br />.3123 <br />.3281 <br />1.0525 <br />3.20 <br />3.048.95015 <br />50 <br />10 <br />.4410 <br />.4013 <br />1.1142 <br />- 268 <br />2.035 <br />.59752 <br />50 <br />20 <br />.3145 <br />.3314 <br />1.0516 <br />9.M <br />3.018 <br />.94924 <br />40 <br />20 <br />.4430 <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 />.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 />.32D1 <br />.3378 <br />1.0555 <br />3.124 <br />2.960 <br />.94740 <br />20 <br />40 <br />.4483 <br />.5022 <br />1.1190 <br />2.228 <br />1.991 <br />.89363 <br />20 <br />50 <br />Z228 <br />.34111.0556 <br />3.098 <br />2.932 <br />.04646 <br />10 <br />50.4514.50591,12072.2151.977.89232 <br />10 <br />19 <br />.3256 <br />.34431.0576 <br />3.072 <br />2.904 <br />.44553 <br />71 <br />27 <br />.4540 <br />.50951.1223 <br />2.2C3 <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 />.2311 <br />.3508 <br />1.0598 <br />3.OZO <br />2.850 <br />.94361 <br />40 <br />20 <br />.4592 <br />.6169 <br />1.1257 <br />2.178 <br />1.935 <br />.88835 <br />40 <br />30 <br />.3338 <br />.35411,008 <br />2.996 <br />2.824 <br />.94264 <br />30 <br />30 <br />.4817 <br />5206 <br />1.1274 <br />2,1061.921.88701 <br />30 <br />40 <br />.3365 <br />.3574 <br />t.0619 <br />2.9712.798 <br />.94167 <br />20 <br />40 <br />.4643 <br />.5243 <br />1.1201 <br />.154 <br />I.907 <br />.88566 <br />20 <br />50 <br />M93 <br />.3607 <br />1.0631 <br />047 <br />2.773 <br />94063 <br />16 <br />50.4669.5230 <br />1.1309 <br />2.1421.894.88431 <br />10 <br />20 <br />X420 <br />.3640 <br />1.0642 <br />2.924 <br />2.747 <br />.93969 <br />70 <br />_ <br />28 <br />.4595 <br />.5317 <br />1.1325 <br />2.130 <br />1,881 <br />.88295 <br />62 <br />IO <br />.3448 <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 />2.119 <br />1.868 <br />.88158 <br />50 <br />20 <br />.3475 <br />.3706 <br />1.0665 <br />2,878 <br />2.690 <br />.93769 <br />40 <br />20 <br />.4746 <br />.5392 <br />1.1361 <br />.107 <br />1.855 <br />.88020 <br />40 <br />30 <br />.3502 <br />.3739 <br />1,0076 <br />2.856 <br />2.675 <br />.93667 <br />30 <br />30 <br />.4772 <br />.5430 <br />1.1379 <br />• .096 <br />1,842 <br />.87882 <br />30 <br />40 <br />.35`19 <br />.3772 <br />1.0688 <br />2.833 <br />2.651 <br />.93585 <br />20 <br />40 <br />.4797 <br />.5467 <br />1.13972.085 <br />1.829 <br />.87743 <br />20 <br />50 <br />.3557 <br />.3905 <br />1,0700 <br />2.811 <br />2.628 <br />.93402 <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 />2.605 <br />.03358 <br />69 <br />29 <br />.4848 <br />.5543 <br />1.1934 <br />2.063 <br />1.804 <br />.874G2 <br />61 <br />10 <br />.3611 <br />.3372 <br />1.0723 <br />2.769 <br />2.583 <br />.93253 <br />50 <br />10 <br />.4874 <br />.5581 <br />1.1452 <br />2 .052 <br />1.792 <br />.87321 <br />50 <br />20 <br />.3638.3906 <br />1.0730 <br />2.749 <br />2.560 <br />.93148 <br />40 <br />23 <br />.4899 <br />.5819 <br />1.14712.011 <br />1.780 <br />.87178 <br />40 <br />30 <br />.3685 <br />.3939 <br />1.0748 <br />2.720 <br />2.539 <br />.93042 <br />30 <br />30.4924 <br />.5658 <br />1.141JO <br />2.0311,767 <br />,87036 <br />30 <br />40 <br />.3692 <br />.3973 <br />1.07602.709 <br />2.517 <br />.92935 <br />20 <br />40 <br />.4950 <br />.5696 <br />1.1509 <br />2.020 <br />1.756 <br />.86892 <br />20 <br />50 <br />.3719 <br />.4006 <br />1.0773 <br />2.689 <br />2.496 <br />.92827 <br />10 <br />50 <br />.4975 <br />.5735 <br />1.1528 <br />.010 <br />1,.744 <br />.86748 <br />10 <br />22 <br />.3746 <br />.4040 <br />1.0785 <br />2.670 <br />2.475 <br />.02718 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />2.000 <br />1.732 <br />.80603 <br />60 <br 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