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R <br />Natural Trigonometrical Functions <br />Angle. Sh- Tan.. Sea Cosec. Coto. Cosin. <br />Angle. Sin. Ten. Seo. Cosec: -Cotg. Cosin. <br />o i <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 />7.185 <br />7.115 <br />.91355 <br />82 <br />10 <br />.0029 <br />.0029 <br />1.041 <br />343.8 <br />343.8 <br />-1. <br />50 <br />10 <br />.1421.1435 <br />.4487 <br />1.0102 <br />7.040 <br />6.96 <br />.99027 <br />.98986'. <br />50 <br />26 <br />.0058 <br />.0058 <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 <br />.0087 <br />.0087 <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 />.98902 <br />30 <br />40 <br />.0116 <br />.0116 <br />1.0001 <br />85.94 <br />85.9 <br />.99993 <br />20 <br />40 <br />.1507 <br />.1524 <br />1.0115 <br />6.636 <br />6.561 <br />.98658 <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />68.76 <br />68.75 <br />.9998 <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 />1.0002 <br />57.30 <br />57.29 <br />.99985 <br />89 <br />9 <br />.1564 <br />.1584 <br />1.0125 <br />6.394 <br />6.314 <br />.9876981 <br />• <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 />.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 />.99966.30 <br />30 <br />30 <br />.1650 <br />.1873 <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 />.99958 <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 />.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 />.99929 <br />50 <br />10 <br />:1765 <br />.1793 <br />1.0160 <br />5.665 <br />5.570 <br />.98436 <br />50 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.56 <br />24.54 <br />.99917 <br />40 <br />20 <br />.1704 <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 />.1853 <br />1.017015.488 <br />2.241 <br />5.398 <br />.98325 <br />30 <br />40 <br />.0485 <br />.0488 <br />1.0011 <br />21.49 <br />21.47 <br />.99895 <br />20 <br />..40 <br />.1851 <br />.1883 <br />1.0176 <br />5.403 <br />I{5.320 <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 />1.0181 <br />2.215 <br />5.226 <br />.98218 <br />10 <br />3 <br />.6523 <br />.0524 <br />1.001 <br />19.11 <br />19.08 <br />.99863 <br />87. <br />11 <br />.1908 <br />.1944 <br />1.018715.2415. <br />2.203 <br />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 />26 <br />.0581 <br />.0582 <br />1.0017 <br />17.20 <br />17.17 <br />.99831 <br />40 <br />20 <br />.1965 <br />.2004 <br />1.019915.089 <br />.989 <br />.98650 <br />,40 <br />•30 <br />.0610 <br />.0812 <br />1.0019 <br />16.38 <br />16.35 <br />.99813 <br />30 <br />30 <br />.1994 <br />.2035 <br />1.0205 <br />5.018 <br />4.915 <br />.88701 <br />30 <br />40 : <br />.0640 <br />.06411.0020 <br />1.0619 <br />i5.64 <br />15.60 <br />.99795 <br />20 <br />-40 <br />.2022 <br />.2065 <br />1;02114.945 <br />_:154 <br />4.843 <br />.97992 <br />20 <br />60.0669 <br />.3393 <br />.06701.002 <br />2 <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 />.97934 <br />.97875 <br />, <br />.10 <br />4 <br />.0698 <br />.0699 <br />1.0024 <br />14.34 <br />14.30 <br />.99756 <br />86 <br />12 <br />.2079 <br />.2126 <br />1.0223 <br />4.810 <br />4.705 <br />.97815 <br />78 <br />.10 <br />.0727 <br />.0729 <br />1.0027 <br />13.76 <br />13.73 <br />.99736 <br />-50 <br />. 10 <br />.2108 <br />.2156 <br />1.0236 <br />4.745 <br />4.68 <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 />.21861.0238 <br />1.1361 <br />4.682 <br />4.87i <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 />.511 <br />.97630 <br />30 <br />40 <br />.6814 <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 />11.83 <br />.99644 <br />10 <br />50 <br />.2221 <br />.2278 <br />1:0256 <br />4.502.390 <br />3.816 <br />.97562 <br />10 <br />5 <br />.0872 <br />.0875 <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 />: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 />.0929.09341.004310:7610.71 <br />.3906 <br />1.0736 <br />2.749 <br />2.560 <br />.99567 <br />•-401 <br />:20:2306.23701.0277 <br />.4899 <br />.5619 <br />1.14712.0411.780 <br />:338 <br />4.219.97304 <br />.87178 <br />40 <br />30 <br />.0958 <br />.0963 <br />1.0046 <br />10.43 <br />10.39 <br />.99540 <br />30 <br />30 <br />.2334 <br />.2401 <br />1,0284 <br />4.284 <br />1,165 <br />.97237 <br />30 <br />40 <br />:0987 <br />.0992 <br />1.004910.1310:08 <br />2.709 <br />2.517 <br />.99511. <br />20. <br />40 <br />.2363 <br />.2432 <br />1.0291 <br />.232 <br />x113 <br />.97169 <br />20 <br />50 <br />.1016 <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 />4.182 <br />4.081 <br />.97106 <br />, <br />10 <br />6 '..1045 <br />:3746 <br />.1051 <br />1.0055 <br />9.567 <br />9.514 <br />.99452 <br />84 <br />14 <br />.2419 <br />.2493 <br />Y:0308 <br />4.133 <br />4.011 <br />.97030. <br />- <br />10 <br />:1074 <br />.1080 <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..962 <br />1.720 <br />.96959"'50 <br />. <br />20 <br />.1103 <br />.1110 <br />1.00619.065 <br />9.010 <br />.99390 <br />7 40 <br />20 <br />.2476 <br />.25551.03214.039 <br />1.980 <br />3.914 <br />:96887 <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 />.96815 <br />30 <br />40 <br />.1161 <br />.1169 <br />1.0068 <br />8:614 <br />8.556 <br />.99324,- <br />20 <br />.40 <br />:2532 <br />.26171.0337 <br />3.949 <br />.821 <br />:96742 <br />20 <br />50 <br />.1100 <br />:1198 <br />1.0072 <br />8.465 <br />8.345 <br />.99290 <br />10 <br />:50 <br />.2560 <br />.2648 <br />1.0345 <br />3.906 <br />.776 <br />.96667 <br />, <br />10 <br />7- <br />1219 <br />:12281.0075 <br />1.0864 <br />8.266 <br />8.144 <br />:99255 <br />83 • <br />15••' <br />.2588 <br />.2679 <br />1.0353 <br />3.864 <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 />1.03613.822 <br />1.932 <br />.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 />27421 <br />03 <br />.782 <br />1.643 <br />.96440 <br />.. <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 />.27731:0377,13.742 <br />1.1728 <br />1.914 <br />:647 <br />.606 <br />.96363 <br />` 30 <br />40 <br />:1334 <br />H46 <br />1.0090 <br />7.496 <br />7.429 <br />.99106 <br />20 <br />40 <br />:2700 <br />':2805 <br />1:038613.703 <br />1.9051.621 <br />• <br />.96285 <br />' 20 <br />50 <br />'.1363 <br />.13761.0094 <br />1.0932 <br />7.337 <br />7.269 <br />.99067 <br />-10 <br />50 <br />.2728 <br />.2836 <br />1.0394 <br />3.665 <br />,566 <br />3.526 <br />.96206 <br />. 10 <br />82 . <br />Angle <br />1 <br />74 <br />of <br />Cosh. <br />Cotg, <br />Cosec, <br />Sec. <br />Tan. <br />Sip. <br />Cosin. <br />Cotg. <br />Cosec <br />Sec. <br />Tan. <br />Sin..Angle <br />Natural. Trigonometrical .Functions 'xi <br />Angle. Sin. Tan. Sec:', Cosec. Cotg. Cosin. <br />Angle. Sin: Tan. ,Sec.' Cosec. Cotg. Cosin:'- ' <br />15:_ <br />.2756 <br />.2867 <br />1.0403 <br />3:62 <br />3.487 <br />.9612674.. <br />24 <br />.4067 <br />.4452 <br />1.0946 <br />2.459 <br />2.246 <br />.91355 <br />66 <br />:1 <br />.2784 <br />.2899 <br />1.041 <br />3.59 <br />3.45 <br />:96046 <br />"50 <br />" 10 <br />.4094 <br />.4487 <br />1.0961 <br />2.443 <br />2.229 <br />:91236 <br />50 <br />-2 <br />.2812 <br />.29311'.0423 <br />3.55 <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 />--.30 <br />.2840 <br />.29621:0429 <br />3.5213.376 <br />:05882 <br />30 <br />30_4147 <br />:45571.0989 <br />2.4112.194 <br />.90996 <br />30 <br />4 <br />:2868 <br />.2994 <br />1:043 <br />3.48 <br />3.34 <br />.95709 <br />. 20 <br />40 <br />.4173 <br />_4592 <br />1.100 <br />2.39 <br />2.177 <br />.90875 <br />20 <br />'5 <br />:2896 <br />.3026 <br />1.0448 <br />3.452 <br />3.305 <br />.95715 <br />x:10 <br />:. 50 <br />.4200 <br />.4628 <br />1.1019 <br />2.3812.161 <br />.90753 <br />.,,10 <br />17.: <br />-2924 <br />.3657 <br />1.0457 <br />3.420 <br />3.271 <br />.95630 <br />73- -• <br />25', <br />.422 <br />.4663 <br />1.1034 <br />2.366 <br />2.145 <br />.9063165; <br />;-.1 <br />.2952 <br />,3089 <br />1.0466 <br />3.388 <br />3.23 <br />:95545 <br />-50 <br />.'10 <br />:4253 <br />.4699 <br />1.1049 <br />2.351 <br />2.128 <br />.90507.: <br />50 <br />20.2979 <br />:3121 <br />1.047 <br />3:35 <br />3:204 <br />95459. <br />40 <br />20 <br />:4279 <br />.4734 <br />1.1064 <br />2.337 <br />2:112 <br />.96383 <br />40 <br />30 <br />.3007 <br />.3153 <br />1.0485 <br />3.32 <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,.95195. <br />-10. <br />50 <br />.4358 <br />:48411.1110 <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 />:05106 <br />72- <br />26. <br />.4384 <br />.4877 <br />1.1126 <br />2.2812.050 <br />.89879 <br />W,' <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 />3.17 <br />3:018 <br />.94924..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 />.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 />.3201 <br />.33781'.0555 <br />3.124 <br />2.960 <br />:94740. <br />20 <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 />.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 />1;_: <br />27 _ <br />:4540 <br />.5095 <br />1.1223 <br />2.203 <br />1.963 <br />.8910163.- <br />8910163:-10 <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 />.04361 <br />40 <br />X20 <br />.4592 <br />.5169 <br />1 1257.178 <br />1.935 <br />.88835 <br />40 <br />30 <br />.3338 <br />:8,5411.0608 <br />2.996 <br />2.824 <br />.94264. <br />30 <br />30 <br />.4617 <br />.5206 <br />j.1274 <br />2.166 <br />1.921 <br />.88701 <br />_30 <br />.40 <br />.3365 <br />.3574 <br />1.0619 <br />2.971 <br />2.798 <br />:94167 <br />.. 20 <br />40 <br />.4643 <br />.5243 <br />.1291 <br />_:154 <br />1.907 <br />.88566 <br />20 <br />, 50 <br />.3393 <br />.3607 <br />1.0631 <br />2.047 <br />2:773 <br />:94068 <br />'10 <br />50 <br />.4669 <br />.5280 <br />.1308 <br />-.142 <br />1.894 <br />.88431 <br />'10 <br />29'. <br />.3420 <br />.3649 <br />1:0642 <br />2.924 <br />2.747 <br />.93969 <br />70 . <br />28, <br />.4695 <br />.5317 <br />:1326 <br />.130 <br />.881 <br />..8829562 <br />- <br />'10 <br />.3448 <br />:3673 <br />1.0653 <br />2.000 <br />2.723 <br />.93869 <br />'50 <br />,-10 <br />.4720 <br />.5354 <br />.1343 <br />:119 <br />1.868 <br />:88158 <br />50 <br />20 <br />.3475 <br />.37061'.0665 <br />2.878 <br />2.699 <br />:93769 <br />_ 40 <br />. 20 <br />.4746 <br />.5392 <br />1.1361 <br />.1071.855 <br />.88020 <br />, 40 <br />:30 <br />.3502 <br />.3739 <br />1:0676 <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 />:3529 <br />.3772 <br />1.0688 <br />2.833 <br />2.651 <br />.03565 <br />".20 <br />._40 <br />.4797 <br />:5467 <br />1.1397 <br />2.0951.829 <br />.87743 <br />20 <br />50 <br />:3557 <br />.38051 <br />* 0700 <br />2.8112:628 <br />.93462 <br />10 <br />.'50 <br />.4823 <br />.5505 <br />1.1415 <br />2.073 <br />3.816 <br />.87603 <br />10 <br />21 - <br />.3584 <br />.3839 <br />1.0711 <br />2.790 <br />2:605 <br />.93858 <br />69 <br />29 <br />.4848 <br />.5543 <br />:1434 <br />2 :063 <br />1.804 <br />.87462 <br />61, <br />.-10 <br />..3611 <br />.3872 <br />1.0723 <br />2.769 <br />2,583 <br />.93253 <br />50 <br />10 <br />.4874 <br />.5581 <br />.1452 <br />2: O54 <br />1.792 <br />.87321 <br />50 <br />20 <br />.3638 <br />.3906 <br />1.0736 <br />2.749 <br />2.560 <br />.93148 <br />'.40 <br />,-20 <br />.4899 <br />.5619 <br />1.14712.0411.780 <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 />2.0311.767 <br />.87036 <br />,30 <br />40 <br />.3973 <br />1.0760 <br />2.709 <br />2.517 <br />.92935 <br />20 <br />40 <br />:4950 <br />.5696 <br />1.1509 <br />.020 <br />1.756 <br />.86892 <br />120 <br />50 <br />_.3692 <br />.3719 <br />:4006 <br />1:0773 <br />2 :689 <br />2.496.92827 <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 />.40401:0785 <br />2.670 <br />2.475 <br />.02718 <br />68 <br />30 • <br />.5000 <br />:57741.,1547 <br />M001.732 <br />,8660360 <br />- <br />10 <br />_3773 <br />.4074 <br />1.0798 <br />2.650 <br />2.455 <br />.92609 <br />' 50 <br />10 <br />.5025 <br />:5812 <br />1.1566 <br />1.990 <br />1.720 <br />.86457 <br />50 <br />20.3800 <br />.4108 <br 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