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Natural ;Trigonometrical Functions <br />q� <br />off' <br />Angle. Sin. Tan. See. 'Cosec. Cotg. Coln. <br />I1 <br />Angle. Sin. Tan.. Soo. Cosec. Cotg. Cosln. <br />Op <br />of <br />0 <br />0 <br />' 0 <br />1. <br />-,00 <br />' OP <br />1. ( <br />K, . <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 />343.8 <br />343:8 <br />1. <br />- 50.. <br />10 <br />.1421 <br />.1435 <br />1.0162 <br />7.040 <br />6.968 <br />.9898 <br />60 <br />20 <br />:0058 <br />.005: <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 />6.827 <br />.98944 <br />40 <br />30 <br />.0087 <br />;0087 <br />1.0429 <br />114:6114,6 <br />3.376 <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 />.01161.000185.94 <br />1.0438 <br />3.487 <br />85.94 <br />.9999 <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 />.99989.10 <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 />1.6062 <br />57.30 <br />57:29 <br />.9998 <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 />1.4602 <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-.0233 <br />.2979 <br />.0233 <br />1.000342. <br />9 8 <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 />.6262 <br />.0262'1.606 <br />1.0485 <br />38.20 <br />38.19 <br />.99966 <br />30 <br />30 <br />.1650 <br />.1673 <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 />- 40-1679 <br />.4331 <br />.1703 <br />1.0144 <br />5.955 <br />5.871 <br />.98586 <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 />Y <br />0349 <br />.0349 <br />1.0006 <br />28.65 <br />28.64 <br />.99939 <br />88 <br />-10.,..1736 <br />.4384 <br />.1763 <br />1,0154 <br />5.759 <br />5.671 <br />.98481 <br />80 <br />10 <br />.0378 <br />.0378 <br />1.000 7 <br />28 45 <br />26.43 <br />2 <br />.999 9 <br />50 <br />10 <br />1765 <br />.179 3 <br />1 .0160 <br />5.665 <br />5.578 <br />.98430 <br />50 <br />U 20 <br />.0407 <br />.0407 <br />1.0008 <br />24,56 <br />24:54 <br />.9991: <br />40 <br />, �. 20 <br />.1794 <br />.1823 <br />110165 <br />5.575 <br />5.485 <br />.98378 <br />40 <br />30.0436.04371:001022,9322:90.99905' <br />:3173 <br />.3346 <br />1.0545 <br />3.152 <br />2.989 <br />:94832 <br />30 <br />30:1822.18531.01705.4885.396.98325 <br />.4462 <br />.4986 <br />1.1174 <br />2.-2412.006 <br />.89493 <br />30 <br />40 <br />:0465 <br />:04661.0011 <br />21.49 <br />21.47 <br />.99892 <br />; 201 <br />1.0176 <br />40 <br />.1851 <br />:1883 <br />1.1190 <br />5.403 <br />5:309 <br />.98272 <br />20 <br />60 <br />.0494 <br />:0495 <br />1.0012 <br />20:2320 <br />- .21 <br />.99878; <br />10. <br />50 <br />.1880 <br />.1914 <br />1'.01815.320 <br />2.215 <br />5.226 <br />.98218 <br />10 <br />S <br />.0523 <br />.0524 <br />1.0014 <br />16.11 <br />19.08 <br />.99863 <br />87 `- <br />•11, .' <br />.1908 <br />.1944 <br />1.0187 <br />5.2415.-145 <br />1':963 <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 />.1974 <br />1.0193 <br />5.164 <br />5:066.98107 <br />.88968 <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 />4,089 <br />.98050 <br />40 <br />.30 <br />.0610 <br />.0612 <br />1.0019 <br />16:38 <br />18.35 <br />.99813 <br />_36 <br />30 <br />.1994 <br />.2035 <br />1.0205 <br />5.016 <br />4.'415 <br />.97992 <br />30 <br />9,40 <br />:6640 <br />:3574 <br />1:0020 <br />15:64 <br />1,5:60 <br />.94167 <br />20 <br />. 40 <br />:2022 <br />.5243 <br />1.0211 <br />4.945 <br />4.843 <br />.88566 <br />20 <br />'4160 <br />.0669 <br />.0641 <br />.0670 <br />1.0622 <br />14.9614:92 <br />.773 <br />.99795 <br />,99776 <br />10 <br />50.2051 <br />.4669 <br />.2065 <br />.2095 <br />1.0217 <br />4.877 <br />4.773 <br />.97934 <br />.97875 <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 />16 <br />.2108 <br />.2156 <br />1.0230 <br />4.745 <br />4.638 <br />:97754 <br />50 <br />.'x'20 <br />:0756 <br />.070 <br />1:0029 <br />13.23 <br />13.20 <br />.99714 <br />40 <br />20 <br />.2136 <br />2186 <br />.0236 <br />4.682 <br />4:574 <br />.97692 <br />40 <br />30 <br />:6785 <br />.0787 <br />1:003112 <br />* 75 <br />12.71 <br />.99692 <br />30 <br />30 <br />.2164 <br />.2217 <br />1.0243 <br />4.6204.5 <br />. 11 <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 />.2247.1.0249 <br />1.1397 <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 />.99644 <br />10 <br />50 <br />.2221 <br />.2273 <br />1.0256 <br />4.502 <br />4.390 <br />.97502 <br />10 <br />5 1.. <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 />4.445 <br />4.331 <br />.9743777 <br />10 <br />.0901 <br />.0904 <br />1:0041 <br />11:10 <br />11.06 <br />.9959 <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 />10.76 <br />10.71 <br />.99567 <br />, 40 <br />- 20 <br />.2306 <br />:2370 <br />1.0277 <br />4:336 <br />4,219 <br />.97304 <br />40 <br />r•30 <br />.0958 <br />.0963 <br />1.0046 <br />IOAS <br />10.39 <br />.99540 <br />30 <br />.. 30 <br />.2334 <br />.2401 <br />1.0284 <br />4.284 <br />4.165 <br />.97237 <br />30 <br />40 <br />.0987 <br />:0992 <br />1.0049 <br />10.18 <br />10.'03 <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 />9.830 <br />9.788 <br />.99482. <br />10 <br />50 <br />.2391 <br />.2462 <br />1.0299 <br />4.182 <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 />4.011 <br />.97030 <br />76 <br />10 <br />.1074 <br />.1080 <br />1.0058 <br />9.309 <br />9.255.99421'.•50 <br />.92609 <br />50 <br />10 <br />.2447 <br />.2524 <br />1.0314 <br />4.086 <br />3.962 <br />.96959 <br />50 <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 />.039 <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 />.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 />.2617 <br />1.0337 <br />3.949 <br />3.821 <br />96742 <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 />.2648 <br />1.0345 <br />3.906 <br />3.776 <br />:96667 <br />10 <br />7 - <br />.1219 <br />:1228 <br />1.0075 <br />8.206 <br />8:144 <br />.99255 <br />83 <br />15 <br />.2583 <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 />.27111.0361 <br />1.1687 <br />.822 <br />3.689 <br />.96517 <br />50 <br />20 <br />",1276 <br />.1287 <br />1.00827 <br />. .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 />.99144 <br />30 <br />30 <br />.2672 <br />.2773 <br />1.0377 <br />3.Z42 <br />3.606 <br />.96363 <br />30 <br />40 <br />.1334 <br />.1346 <br />1.0090 <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 />Yb0 <br />.1363 <br />.1376 <br />1:0094 <br />7.337 <br />7.269 <br />.99067 <br />10 <br />50 <br />.2728 1 <br />,2836 <br />1.0394 <br />3.665 <br />3.526 <br />.96206 <br />10 <br />82 <br />74 <br />Of <br />Cosln. <br />iCotg. <br />Cosec <br />Sea <br />Tan. <br />Sin... <br />Angle - <br />... <br />Cosin,_ <br />Cote. <br />Cosec, <br />Seo. <br />Tan. <br />Sin. <br />Angle <br />O v (j <br />• j. <br />�q, : xY <br />Natural Trigonometrical Functions <br />Angle: Sin. Tan. Sec. Cosec. Cotg. Cosin.: <br />/ <br />Angle. Sin. .Ten: See. Cosec. Mg. Cosin. <br />of <br />18 <br />,2756 <br />.2867 <br />1.0403 <br />3.628 <br />3:487 <br />.96126 <br />74' <br />24 <br />,.4067 <br />.4452 <br />1.0946 <br />2.459 <br />2.246 <br />.91355 <br />68 <br />:..10:2784.28991.041 <br />3:5923.450.96046:"b0 <br />- 10.4094.44871.09612.4432.229.9123 <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 />.91116 <br />40 <br />30 <br />.2840 <br />.2962 <br />1.0429 <br />3.521 <br />3.376 <br />.95882' <br />30 <br />30 <br />:4147 <br />.4557 <br />1.09S9 <br />2.411 <br />2.194 <br />.90996 <br />30 <br />40 <br />.2868 <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 />2.39 <br />2.177 <br />.90875 <br />20 <br />50 <br />.2896 <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 />2.381 <br />2.161 <br />.90753 <br />10 <br />17 • <br />.2924 <br />.3057 <br />L0457 <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 />1 - 10 <br />.2952 <br />.3089 <br />i.0466 <br />3.388 <br />3.237 <br />:95545 <br />.50 <br />10 <br />.4253 <br />.4699 <br />1.1049 <br />2.3512.128 <br />.90507 <br />-50 <br />:.20 <br />.2979 <br />.3121 <br />LOM <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 />1.0485 <br />3.326 <br />3.172 <br />.95372 <br />.30 <br />.30 <br />.4305 <br />.47701:1079 <br />2.323 <br />2.097 <br />.90259 <br />30 <br />40 <br />.3035 <br />.31851:0495 <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 />60 <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 />18- <br />.3090 <br />:32491.0515 <br />3:236 <br />3.078 <br />.95106 <br />72 .. <br />26- <br />.4384 <br />.4877 <br />1.1126 <br />2.2812:050 <br />.89879 <br />64 <br />•: 10 <br />.3118 <br />, 3281 <br />1.0525 <br />3:207 <br />3: 048 <br />i95015 <br />50 <br />',-10 <br />.4410 <br />.4913 <br />1.1142 <br />2.268 <br />2.035 <br />.89752 <br />50 <br />i,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 />C'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.-2412.006 <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 />2.2281.991 <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 />2.904 <br />.94552 <br />71 ', <br />27. <br />.4540 <br />.5095 <br />13223 <br />2.203 <br />1':963 <br />.89101 <br />63- <br />i' 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 />:1240 <br />2.190 <br />1.949 <br />.88968 <br />50 <br />+' 20 <br />.3311 <br />:3508 <br />1.0508 <br />3.020 <br />.850 <br />.94361 <br />-40 . <br />20 <br />.4592 <br />.5169 <br />1.1257 <br />.178 <br />1.935 <br />:88835 <br />40 <br />V.30 <br />:3338.35411.06032:996 <br />,824.94264 <br />-:30 <br />30.4617.5206 <br />1.1274 <br />Z.1661.921 <br />.88701 <br />30 <br />"40 <br />.3365 <br />:3574 <br />1.0619 <br />2.971 <br />1.798 <br />.94167 <br />'20 <br />:40 <br />.4643 <br />.5243 <br />1.1291 <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 />2.142 <br />1.894 <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 />1.1326 <br />2.130 <br />1.881 <br />.88295 <br />62, <br />10 <br />.3448 <br />.3673 <br />1.0653 <br />.900 <br />.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 />:3706 <br />110665 <br />2.878 <br />.699 <br />:93769 <br />.40 <br />20 <br />.4746 <br />.5392 <br />1:1361 <br />.107 <br />1.855.88020 <br />40 <br />"-30, <br />.3502 <br />.3739 <br />1.0676 <br />2:856 <br />1.675 <br />.93667 <br />30 <br />30 <br />:4772 <br />.5430 <br />1.1379 <br />:0961.842 <br />.87882 <br />'30 <br />-40 <br />.3529 <br />.3772 <br />1.0688 <br />2:833 <br />:651 <br />.93565 <br />20 <br />40 <br />.4797 <br />.5467 <br />1.1397 <br />.085 <br />1.829 <br />.87743 <br />20 <br />50 <br />.3557 <br />:3805 <br />1.0700 <br />2.811 <br />.628 <br />.93462 <br />:10 <br />50 <br />.4823 <br />.5505 <br />1.1415 <br />2.0731.816 <br />:87603 <br />10 <br />21. <br />:3584 <br />.3839 <br />1.0711 <br />2.790 <br />31.605 <br />.93358 <br />69•- <br />29: <br />.4848 <br />.5543 <br />1.1434 <br />2.063 <br />1.304 <br />8746261 <br />.10 <br />.3611 <br />.3872 <br />1.0723 <br />2:769 <br />.583 <br />:93253 <br />.50 <br />10 <br />.4874 <br />.5581 <br />1.1452 <br />3.052 <br />1.792 <br />.87321 <br />50 <br />'-.20'.3638 <br />.3906 <br />1.0736 <br />2.749 <br />.560 <br />.93148 <br />40 <br />20, <br />.4899 <br />;5619 <br />1.1471 <br />.041 <br />1.780 <br />.87178 <br />. 40 <br />30 <br />.3665 <br />.3939 <br />1.0743 <br />2.729 <br />3.539 <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 />2:702'.517 <br />:92935 <br />:20 <br />'"40 <br />.4950 <br />.5696 <br />1.1509 <br />.020 <br />1.756 <br />.86892 <br />20 <br />50 <br />.3719 <br />.4006 <br />1.0773 <br />2.689 <br />.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 />14040 <br />1.0785 <br />21670 <br />.475 <br />.92718 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />2.000 <br />1.732 <br />.86603 <br />60 - 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