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A. <br />Natural Trigonometrical runctio.'ns <br />Angle. Sin: Tan.. Sec. Cosec. Colo. Cosin. <br />Angle. Sin. Tan. Sea. Cosec. Colo. Cosin. <br />k <br />o r <br />o <br />0 <br />0 <br />0 <br />1, <br />e.0 <br />00 <br />1. <br />90 <br />8 <br />.1392 <br />.1405 <br />1.0098 <br />7.185 <br />7.115 <br />.99027 <br />62 <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 />1.0102.7.040 <br />2.443 <br />6.96 <br />.98956 <br />50 <br />20 <br />.0058 <br />.0058 <br />1.0423 <br />171.2 <br />171.9 <br />.90998 <br />40 <br />20 <br />.1449 <br />.1465 <br />1,0107 <br />0.900 <br />6.827 <br />.98944 <br />40 <br />30 <br />.0097 <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 />6.766 <br />5.691 <br />.98902 <br />30 <br />40 <br />.0116 <br />.01.16 <br />1.0001 <br />85.9 <br />85.94 <br />,99993 <br />20 <br />40.1507 <br />.1524 <br />1.0115 <br />6.636 <br />6.561 <br />.98858 <br />20 <br />60 <br />.0145 <br />.0145 <br />1.0001 <br />68.76 <br />68.75 <br />.99999 <br />10 <br />50 <br />1336 <br />.1554 <br />1.0120 <br />6.512 <br />6.43 <br />.98814 <br />10 <br />1 <br />.0175 <br />.0175 <br />1.0002 <br />57.30 <br />57.29 <br />.9998' <br />89 <br />9 <br />.1564 <br />.1584 <br />1.0125 <br />6.394 <br />5.314 <br />.98769 <br />81 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49.1149.10 <br />3.23 <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 />42.98 <br />42.96.99973 <br />.95459 <br />40 <br />120 <br />.1623 <br />:1644 <br />1.0134 <br />6.160 <br />6.084 <br />,98676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />38.19 <br />.99966 <br />30 <br />30.1650 <br />.4305 <br />.1673 <br />1.0139 <br />6.059 <br />5.976 <br />.98829 <br />•30 <br />40 <br />.0291 <br />.0201 <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 />.88531 <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 />10154 <br />5.759 <br />5.871 <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 />1.01006.665 <br />2.268 <br />5.576 <br />.98430 <br />50 <br />20 <br />.0407 <br />.04071.0008 <br />1.0535 <br />24.56 <br />24.54 <br />.09917 <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 />.1522 <br />.1853 <br />1.0170 <br />5,485 <br />5.396 <br />.98325 <br />30 <br />46.0465.04661.001121.4921.47:(1989 <br />.3201 <br />.3378 <br />1.0555 <br />3. 124 <br />2.960 <br />.94740 <br />20 <br />40.1851.18831.01785.4035,309.98272 <br />.4488 <br />.5022 <br />1.I100 <br />2.228 <br />1.001 <br />.89363 <br />20 <br />50 <br />.0494 <br />.0105 <br />1.0012 <br />20.23 <br />20.21 <br />.09878 <br />10 <br />6.0 <br />.1880 <br />,1914 <br />1.01815.320 <br />2 :215 <br />5.220 <br />.98218 <br />10 <br />3 <br />.0523 <br />,0524 <br />1.0014 <br />19.11 <br />19.08 <br />.99863 <br />67 <br />11 <br />.1908 <br />.1944 <br />1.01815 <br />, 241 <br />,145 <br />.98163 <br />79 <br />10 <br />.0552 <br />.0553 <br />1.001518.1018.07 <br />3.046 <br />2.877 <br />.99847 <br />.50 <br />10 <br />.1937 <br />.1974 <br />1.0193 <br />5.164 <br />5.066 <br />.98107 <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 />.2604 <br />1.0199 <br />5.039 <br />4.989 <br />.95050 <br />40 <br />20 <br />.0610 <br />.0612 <br />1.0019 <br />16.38 <br />16.35 <br />.99813 <br />30 <br />- 30 <br />.1994 <br />.2035 <br />1.0205 <br />6.016 <br />4.915 <br />.97992 <br />30 <br />40 <br />.0640 <br />.0541 <br />1.0020 <br />15.64 <br />15.60 <br />.99795 <br />20 <br />'40 <br />.2022 <br />.2065 <br />1,0211 <br />4.946 <br />4 :S43 <br />.97934 <br />20 <br />50 <br />.0609 <br />.0670 <br />1.0022 <br />14.90 <br />14.92 <br />.99770 <br />10. <br />..,a <br />,2051 <br />.2095 <br />1.021.7 <br />4.877 <br />4,773 <br />.97875 <br />10 <br />4 <br />.0598 <br />.0599 <br />1.0024 <br />14.34 <br />14.30 <br />.09755 <br />66 <br />12 <br />.2079 <br />,2126 <br />1.0223 <br />4:Slp <br />4,705 <br />.97815 <br />78 <br />'10.0727.07291.002713,7613.73.99736 <br />.3448 <br />.3673 <br />1.0653 <br />2.900 <br />2:723 <br />.93869 <br />50 <br />•.10.2108.21561.02304.745 <br />.4720 <br />.5354 <br />1.1343 <br />2. 110 <br />.638.97754 <br />.88158 <br />50 <br />20 <br />.0750 <br />.0768 <br />1.0029 <br />13.23 <br />13.20 <br />.99714 <br />40 <br />20 <br />.21313 <br />.2156 <br />1.()236 <br />4.682 <br />4.674 <br />.97692 <br />40 <br />20 <br />.0785 <br />.0787 <br />1.6031 <br />12.75 <br />12.71 <br />.99692 <br />. 30 <br />30 <br />_2104 <br />,2217 <br />1.0243 <br />4.620 <br />4,511 <br />.97630 <br />30 <br />40 <br />.0814 <br />.0316 <br />1.0033 <br />12,29 <br />12.25 <br />.99668 <br />20 <br />40 <br />.2193 <br />.2247 <br />1.0249 <br />4.550 <br />449 <br />.97566 <br />20 <br />50 <br />.0843 <br />.0846 <br />1.0036 <br />11.87 <br />11,83 <br />.9064 <br />10 <br />50 <br />.2221 <br />.2278 <br />1,0256 <br />4.602'4,390 <br />.97502 <br />10 <br />5 <br />.0572 <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 />.97437 <br />77 <br />30 <br />.0901 <br />.09041.0041 <br />1.0723 <br />11.1011.05.99594 <br />2.583 <br />.93253 <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 />I0.76 <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 />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 />4.165 <br />.97237 <br />30 <br />40 <br />.0987 <br />.0902 <br />1.0049 <br />10.13 <br />10.08 <br />:99511 <br />20 <br />40 <br />.2363 <br />:2432 <br />1,0281 <br />4.232 <br />4.113 <br />.97169 <br />20 <br />60 <br />.1010 <br />.1022 <br />1.0052 <br />9.839 <br />9.788 <br />.99482 <br />10 <br />50 <br />.2391 <br />.2452 <br />1.0209 <br />4.192 <br />4.051 <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 />.011 <br />.9703076 <br />60 . <br />10 <br />.1074 <br />.1080 <br />1.0058 <br />9.309 <br />0.255 <br />.99421 <br />• 50 <br />10 <br />•2447 <br />.2524 <br />1.0314 <br />4.086 <br />: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 />4,039 <br />.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 />L.0329 <br />3,994 <br />.867.96815 <br />.86163 <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 />10337 <br />3.949 <br />.821 <br />.06742 <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 />SMO <br />.776 <br />.96667 <br />10 <br />7 <br />.1219 <br />.1228 <br />1.0075 <br />8.206 <br />8.144 <br />.9925583- <br />67 -, <br />15 <br />.2588. <br />2579 <br />1.0353 <br />.864 <br />.732 <br />.96593 <br />5 <br />10 <br />.1243 <br />.1257 <br />1.0079 <br />8.016 <br />7.953 <br />.99219 <br />50 <br />10 <br />.2616.2711 <br />.6048 <br />1.0361 <br />.822 <br />3.689 <br />.96517 <br />50 <br />20 <br />:1276 <br />.1287 <br />1.0082 <br />7.834 <br />7.770 <br />.99152 <br />40 <br />I 20 <br />:2644 <br />.2742 <br />1.0369 <br />3.782P.647 <br />.96440 <br />40 <br />30 <br />.1305 <br />1317 <br />LOOS6 <br />7.861 <br />7.596 <br />.99144 <br />30 <br />30 <br />.2672 <br />.27731.0377.742 <br />1.1723 <br />1.914 <br />.605 <br />.96303 <br />30 <br />40 <br />.1334 <br />1340 <br />1.0090 <br />7.496 <br />7.429 <br />.99108 <br />20 <br />40 <br />.2700 <br />.2805 <br />1.0386 <br />.703.566 <br />1.621 <br />.9028.5 <br />20 <br />50 <br />.1363 <br />.1376 <br />1.0094 <br />7.337 <br />7.269 <br />.99067 <br />10 <br />60 <br />.2728 <br />.2836 <br />1.0394 <br />3.685 <br />3.526 <br />.95206 <br />I0 <br />� <br />60 <br />74 <br />Cosin. <br />Cotg. <br />Cosec. <br />Sec. <br />Tan. <br />Sin. Angle <br />Cash. <br />Cato. <br />Cosec. <br />Sec. <br />Tan. <br />Sin. <br />Cosln. <br />Colo. <br />Cosec. <br />Sea <br />Tan. <br />Sin. <br />Angle <br />Cosin. <br />Coto. <br />Cosec. <br />Sea <br />Tan. <br />Sin. <br />Angle <br />XI <br />Natural Trigonometrical Ftinctious' <br />Angle. Sin. Tan. See. Cosec. Cotg. Cosin, <br />Angle. Sin. Tan.. Sec.: Cases. Colo. Cosin. <br />18 <br />.2750 <br />:2867 <br />1.0403 <br />3.62 <br />3.4S 7 <br />.96126 <br />74 <br />24 <br />.4007 <br />'.4452 <br />1. 0946, <br />2.459 <br />2.246 <br />.91355 <br />66' <br />10 <br />'.2734.2899 <br />1.0412 <br />3.592 <br />2.450 <br />.06046 <br />- 50 <br />- 10 <br />.4094 <br />.4487 <br />1.4961 <br />2.443 <br />2.229 <br />.91236 <br />60 <br />2 <br />.2812 <br />.2931 <br />1.0423 <br />3.65C <br />3.412 <br />.95964 <br />-40 <br />26 <br />'.4120 <br />.4522 <br />1.0975 <br />2.427 <br />2.211 <br />.01116 <br />40 <br />-3 <br />.2840 <br />2002 <br />1,0421 <br />3.5213 <br />. 376 <br />.WK <br />30 <br />30 <br />:4147 <br />.4557 <br />1.0939 <br />2.4112.104 <br />.90996 <br />30 <br />4 <br />.2858.29941'.043 <br />3.48 <br />3:34 <br />.05799 <br />20 <br />'.40AM.45021.10042,39 <br />2,17 <br />.00875 <br />20 <br />N <br />.2896 <br />.3026 <br />1.044 <br />3.453 <br />3.305 <br />.95713 <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 />X57 <br />1.0457 <br />3.42C <br />3.271 <br />.056%073 <br />- <br />25 <br />.4226 <br />.4663 <br />1.10,,4 <br />2.366 <br />2.145 <br />.90631 <br />65 <br />20 <br />.2952 <br />.3039 <br />1.0466 <br />MM <br />3.23 <br />:95545 <br />.60 <br />.10 <br />.4253 <br />:4699 <br />1.1049 <br />2,351 <br />2.1.8 <br />.90507 <br />50 <br />•.20- <br />.2979 <br />,3121 <br />1.047 <br />3:357 <br />3.20 <br />.95459 <br />.40 <br />20 <br />.4279 <br />.47341.10642.3372.112 <br />.90353 <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 />1.10.19 <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 />.00133 <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 />19 <br />Q090 <br />.3240 <br />1:0515 <br />3.236 <br />3.078 <br />.05106 <br />72 <br />26 <br />:4384 <br />.48771:1126 <br />2.2812.050 <br />.89879 <br />64 <br />10 <br />.3118 <br />.3281 <br />1:0525 <br />3.207 <br />3.048 <br />:95015 <br />50 <br />10 <br />.4410 <br />.4913 <br />1.1142 <br />2.268 <br />2.0.75 <br />.89752 <br />50 <br />'20 <br />-.3145 <br />.3314 <br />1.0535 <br />3.17 <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 />30 <br />.3173 <br />.3346 <br />1.0545 <br />3.152 <br />2:989 <br />.94832 <br />' 30 <br />30 <br />.4462 <br />:49861:1174 <br />2.2412.006 <br />.80493 <br />- '30 <br />40 <br />.3201 <br />.3378 <br />1.0555 <br />3. 124 <br />2.960 <br />.94740 <br />.20 <br />40 <br />.4488 <br />.5022 <br />1.I100 <br />2.228 <br />1.001 <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 />.6095 <br />1.1223 <br />2.203 <br />1.063 <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 />20.3311.35081.05983,0202.859.94,361'.40 <br />-20.4592.51691.1257 <br />2 :1781.935.58835 <br />40 <br />30 <br />.3338 <br />.3541 <br />1.0608 <br />2.996 <br />2:824 <br />.94264 <br />. 30 <br />30 <br />.4617 <br />.5200 <br />1,1274 <br />2.106 <br />i.921 <br />.88701 <br />30 <br />_ 40 <br />.3355 <br />.3574 <br />1.0619 <br />2.971 <br />2:793 <br />.94167 <br />'20 <br />.40 <br />.4643 <br />:5243 <br />1.1291 <br />2A54 <br />1.907 <br />.83565 <br />20 <br />60 <br />,3393 <br />.3607 <br />1:9631 <br />2.947 <br />2.773 <br />.94068 <br />'10 <br />50 <br />.4669 <br />:5280 <br />1.1308 <br />2.142 <br />1:894 <br />.SS431 <br />10 <br />205 <br />.2420 <br />.3640 <br />1.06L9 <br />2.924 <br />2:747 <br />.93969 <br />70. <br />28 _ <br />.4695 <br />.6317 <br />1,1326 <br />2,130 <br />-.881 <br />8829562 <br />._IO <br />.3448 <br />.3673 <br />1.0653 <br />2.900 <br />2:723 <br />.93869 <br />- 50 <br />10 <br />.4720 <br />.5354 <br />1.1343 <br />2. 110 <br />1.868 <br />.88158 <br />50 <br />20:3475.37061.06652.8782,690.93709 <br />40 <br />20.4746:53921.1361:1071:855.86020 <br />40 <br />30 <br />.3502 <br />.3 V30 <br />1.0676 <br />2.856 <br />2.675 <br />.03667 <br />30 <br />30 <br />.4772 <br />.54.30 <br />1.1379,000 <br />t.842 <br />.57882 <br />' 30 <br />40 <br />.3529 <br />.3772 <br />L.0688 <br />2.833 <br />2.651 <br />.93565 <br />20 <br />40 <br />.4707 <br />.5467 <br />1.1307 <br />.085 <br />1.825) <br />.87743 <br />20 <br />50 <br />:8557 <br />.3805 <br />1.0700 <br />2.8112.628 <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 />.38391.07112.700 <br />2,505 <br />.9335869. <br />29 ..4848 <br />.5.543 <br />1,1434 <br />2.063 <br />1, 804 <br />.97462 <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 />1:1452 <br />L652 <br />1.792 <br />.87321 <br />50 <br />20 <br />.3038 <br />.3906 <br />1.0730 <br />2.749 <br />2.560 <br />.93148 <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 />•3930 <br />1.0748 <br />2.729 <br />2,530 <br />.93042 <br />' 30 <br />.30 <br />.4924 <br />.5658 <br />1.1490 <br />2.0311.767 <br />.87036 <br />30 <br 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