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c <br />S <br />Natural- Trigonometrical Functions <br />Angle. Sin. Ten.. Seo. Cosec. Cotg. Cosin. <br />Angle. Sin. Tan. Soo. Cosec. Cotg. Cosies <br />o r <br />° r <br />o: <br />16 <br />:2567 <br />0 <br />0 <br />0 <br />1. <br />00 <br />7b <br />1. <br />90 <br />8 ' <br />.1392 <br />.1405 <br />LOODS <br />7.B5 <br />7.115 <br />.99027 <br />82 <br />10 <br />.0029 <br />.0029 <br />.96046, <br />343.8 <br />343.8 <br />1. <br />50 <br />10 <br />.1421 <br />.1435 <br />1.0102 <br />7.040 <br />6.963 <br />.08986 <br />50 <br />20 <br />.0058 <br />.0053 <br />.95964 <br />171.9 <br />171.9 <br />.99993. <br />40 <br />20 <br />.1449 <br />.1465 <br />1.0107 <br />6:900 <br />6.827 <br />.95944 <br />40 <br />30 <br />.0087 <br />.0057 <br />.05532 <br />114.5114.6.OME. <br />30 <br />30 .4147 <br />30 <br />30 <br />.1478 <br />.1495 <br />1.01116,706 <br />6.691 <br />,98902 <br />30 <br />40 <br />.0116 <br />.011E <br />1.0001 <br />55.94 <br />85.94 <br />.99993 <br />20 <br />40 <br />.1507 <br />.1524 <br />1.0115 <br />6.636 <br />6.561 <br />.93S5S <br />20 <br />50 <br />.0145 <br />.0145 <br />1.0001 <br />63.7E <br />68.75 <br />.90951 <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 />57.20 <br />.999a^5 <br />89 <br />9 ..1564 <br />1.1034 <br />.1584 <br />L0125 <br />6.304 <br />6.314 <br />.98769 <br />81 <br />10 <br />.0204 <br />.0204 <br />1.0002 <br />49.1149.10 <br />50 <br />.999791 <br />50 <br />10 <br />.1593 <br />.1614 <br />1.0129 <br />6.277 <br />6.197 <br />:95722 <br />50 <br />20 <br />.0233 <br />.0233 <br />1:0003 <br />42.9342.06 <br />40 <br />.90973 <br />40 <br />20 <br />.1622 <br />.1644 <br />1.0134 <br />6.166 <br />G.OS4 <br />.95676 <br />40 <br />30 <br />.0262 <br />.0262 <br />1.0003 <br />38.20 <br />3S.19 <br />.09966 <br />SO <br />30 <br />.1650 <br />.1673 <br />1.0139 <br />6.059 <br />5.976 <br />.OS629 <br />30 <br />40 <br />.0291 <br />.0291 <br />1.0004 <br />34.38 <br />34.37 <br />.OD958 <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 />.90949 <br />10 <br />50 <br />.1703 <br />.1733 <br />L 0149 <br />5.855 <br />5.169 <br />.OS531 <br />10 <br />2 <br />.0349 <br />.0340 <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 />.037S <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 />5.576 <br />.98430 <br />50 <br />20 <br />.0407 <br />.0407 <br />1.0008 <br />24.56 <br />24.54 <br />.9D917 <br />40 <br />20 <br />.1794 <br />.1523 <br />1.0165 <br />5.575 <br />5.455 <br />.98378 <br />40 <br />30 <br />.0436 <br />.0437 <br />1,0010 <br />22.93 <br />22.90 <br />.99005 <br />30 <br />30 <br />.1822 <br />.1853 <br />1.0170 <br />5.435 <br />5.306 <br />.99325 <br />30 <br />40 <br />.0465 <br />.0466 <br />1.0011 <br />21.49 <br />21.47 <br />.99892 <br />20 <br />- 40 <br />.1851 <br />.1833 <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 />.99S78 <br />10 <br />50 <br />.1850 <br />.1914 <br />1.0181 <br />5.320 <br />5.226 <br />.9S21S <br />10 <br />3 <br />.0523 <br />.0524 <br />1.0014 <br />19.11 <br />19.08 <br />.99563 <br />87 <br />11 <br />.1003 <br />.1044 <br />1OiS7 <br />5.241 <br />5.145 <br />.98163 <br />79 <br />10 <br />.0552 <br />.0553 <br />1.0015 <br />13.10 <br />13.07 <br />.99S47 <br />50 <br />10 <br />.1937 <br />.1974 <br />1.0193 <br />5.164 <br />5.066 <br />.95107 <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 />.20004 <br />1.0199 <br />5.039 <br />4,089 <br />.95050 <br />40 <br />30 <br />.0610 <br />.0612 <br />1.0019 <br />16.38 <br />16:35 <br />.09813 <br />30 <br />30 <br />.1904 <br />.2035 <br />1.0205;1.016.1.915.07992 <br />.85701 <br />30 <br />40 <br />30 <br />.40 <br />.0640 <br />.0641 <br />1.0020 <br />15.64 <br />15.00 <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 />14.96 <br />14.92 <br />.99776 <br />10 <br />50 <br />.2051 <br />.2095 <br />1.0217 <br />4.877 <br />4.773 <br />.97575 <br />10 <br />4 <br />.0698 <br />.0699 <br />1.0024 <br />14.3414.30 <br />70 <br />.09756 <br />86 <br />12 <br />.2070 <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 />13.773 <br />.99736 <br />50 <br />10 <br />.2103 <br />.2156 <br />l .0230 <br />4.745 <br />4.638 <br />.07754 <br />50 <br />20 <br />.0756 <br />.0738 <br />1.0029 <br />13.23 <br />13.20 <br />.99714 <br />40 <br />. 20 <br />.2136 <br />.2136 <br />11.0236 <br />4.6'32 <br />4.574 <br />.97692 <br />40 <br />30 <br />.0785 <br />.0737 <br />1.0031 <br />12.75 <br />12.71 <br />.09602 <br />30 <br />30 <br />.21 G4 <br />.2217 <br />1.0243 <br />4.620 <br />4.511 <br />.97630 <br />30 <br />40 <br />.0314 <br />.0516 <br />1.0033 <br />12.29 <br />12.25 <br />.99663 <br />20 <br />40 <br />.2193 <br />.2247 <br />1.0249 <br />4.560 <br />4.449 <br />.97566 <br />20 <br />50 <br />.0843 <br />.084C <br />1.0036 <br />11.87 <br />11.83'.9984 <br />50 <br />10 <br />50 <br />.2221 <br />.2278 <br />1.0256 <br />4.502 <br />4.390 <br />.97502 <br />10 <br />5 <br />.0872 <br />.037L <br />1.0038 <br />11.47 <br />11.43 <br />.99619 <br />85 <br />13 <br />2250 <br />.2309 <br />1.0263 <br />1.445 <br />1.331 <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 />.2273 <br />.2339 <br />1.02.70 <br />4.390 <br />4.275 <br />.97371 <br />50 <br />20 <br />.0929 <br />.0934 <br />1.0013 <br />10.76 <br />10.71 <br />.99567 <br />40 <br />20 <br />.2306 <br />.2370 <br />L.0277'1.336 <br />.8717S <br />4.219 <br />.97304 <br />40 <br />30 <br />:0958 <br />.0963 <br />1.0046 <br />10.43 <br />10.30 <br />.99540 <br />30 <br />' 3O <br />.2334 <br />.2401 <br />1.0284 <br />4.284 <br />4.165 <br />.97237 <br />SO <br />40 <br />.0957 <br />.0992 <br />1.0040 <br />10.13 <br />10.03 <br />,99511 <br />20 <br />40 <br />.2363 <br />.2432 <br />1.0291 <br />4.232 <br />4.113 <br />.97169 <br />20 <br />50 <br />.1016 <br />.1022 <br />1.0052 <br />-11 <br />to <br />.99453 <br />10 <br />50 <br />.2391 <br />.2402 <br />1.0290 <br />1.182 <br />4.061 <br />.97100 <br />10 <br />0 <br />.1045 <br />.1051 <br />1.00.55 <br />9.5137 <br />0.514 <br />,9945'? <br />84 <br />14 <br />.2419 <br />.2493 <br />1.0306 <br />1.133 <br />LOLI <br />.97030 <br />76 <br />10 <br />.1074 <br />.1030 <br />1.0058 <br />9:309 <br />9.255 <br />,99421 <br />50 <br />10 <br />.2447 <br />.2524 <br />1.0314 <br />4.OSG <br />3.962 <br />.95959 <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 />.25.55 <br />1.0321 <br />.039 <br />3.914 <br />.OGS37 <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 />.2556 <br />1.0329 <br />3.004 <br />3.867 <br />.GGS15 <br />30 <br />40 <br />.1161 <br />.1160 <br />LOOM <br />8.6148.556 <br />20 <br />.99324 <br />20 <br />40 <br />.2.532 <br />2617 <br />1.0337 <br />3.049 <br />3.821 <br />96742 <br />20 <br />50 <br />.1190 <br />.1198 <br />1.0072 <br />5.405 <br />8.345 <br />.90290 <br />10 <br />50 <br />.2560 <br />.2643 <br />L.0345 <br />3. DOG <br />3.775 <br />.96667 <br />19 <br />7 <br />.1219 <br />.1225 <br />1.0075 <br />3.20E <br />8.144 <br />.09255 <br />83 <br />15 <br />.2533 <br />.2679 <br />1.0353 <br />3.864 <br />3.732 <br />.06503 <br />75 <br />10 <br />.1249 <br />.1257 <br />1.0070 <br />8.016 <br />7.953 <br />.09219 <br />50 <br />10 <br />.2516 <br />.2711 <br />1.0361 <br />3.822 <br />3. GS9 <br />.96517 <br />50 <br />20 <br />.1276 <br />.1287 <br />1.0032 <br />7.834 <br />7.770 <br />.99182 <br />40 <br />20 <br />.2644 <br />.2,742 <br />1.0369 <br />3.782 <br />3.647 <br />.961.10 <br />40 <br />30 <br />.1305 <br />.1317 <br />1.0056 <br />7.651 <br />7.5D6 <br />.99144 <br />30 <br />301.2p72 <br />.2773 <br />1.6377 <br />3.742 <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 />1.0356 <br />3.703 <br />3.566 <br />.96285 <br />20 <br />50 <br />.1363 <br />.1376 <br />1.0094 <br />7.337 <br />7.269 <br />.09067 <br />10 <br />50 <br />.2723 <br />.2836 <br />1.0394 <br />3.665 <br />3.526 <br />.96206 <br />10 <br />.441, <br />.093??.4752.254.91472 <br />• <br />58 <br />or <br />Angle <br />82 <br />or <br />Angle <br />� <br />or <br />Angle <br />74 <br />o. <br />Catg. <br />Cosin. <br />Coto. <br />Cosec <br />See. <br />Tan. <br />Sin. <br />C01g. <br />Cosin. <br />Cotg. <br />Ccsee. <br />Sec. <br />Tan. <br />Sin. Angle <br />o XI <br />Natural Trigonometrical Functions <br />Angle. Sin. Tan. Sec, Cosee. COtg. Cosin. Angle. Sin. Tan. See. Cosec. Cotg. Cosin. <br />to <br />i^ !� <br />or <br />° r <br />16 <br />:2567 <br />1.0403 <br />3.625 3.437 <br />.0612 <br />74 <br />24 .4067 <br />.4452 1.0946 <br />2.450 <br />2.246 <br />.91355 <br />66 <br />.2756 <br />10 <br />1.0412 <br />3.592 3.450 <br />.96046, <br />50, <br />10 .4094 <br />.4487 1.0961 <br />2.44 <br />2.229 <br />.91236 <br />50 <br />.278 <br />20 <br />.2599 <br />1.0423 <br />3.556 3.412 <br />.95964 <br />40 <br />20 .4120 <br />.4522 1.09i5 <br />2.427 <br />2.211 <br />.91116 <br />40 <br />.2312 <br />30 <br />.2931 <br />1.04293.5213.376 <br />.05532 <br />30 <br />30 .4147 <br />.4557 1.0959 <br />2.4112.194 <br />.90996 <br />30 <br />40 <br />.2340 <br />.2962 <br />1.043 <br />3.437 <br />3.340 <br />.95799 <br />20 <br />40 .4173 <br />.4592 <br />1.1004 <br />2.39 <br />2 .177 <br />.90875 <br />20 <br />50.2596.30261.0443.4533.205.95715 <br />.2868 <br />.2094 <br />10 <br />50 <br />4200 <br />.4G2S <br />L.101_92.'� <br />31� <br />161. <br />.161 <br />90-,1-'3 <br />10 <br />65 <br />17 <br />1.045713.42013.271 <br />.05630 <br />73 <br />25 :4226 <br />.4663 <br />1.1034 <br />2.366 <br />2.145 <br />.90631 <br />10 <br />.2924 <br />.3057 <br />LNG <br />3.385 <br />3.237 <br />.95545 <br />50 <br />10 <br />.4253 <br />.4699 <br />1.1049 <br />2.351 <br />2.123 <br />.90507 <br />50 <br />20 <br />.2952 <br />.3039 <br />1.047 <br />3.357 <br />3.204 <br />.95459 <br />40 <br />20 <br />.4279 <br />.47.4 <br />1.1064 <br />2.337 <br />2.112 <br />.90333 <br />40 <br />SO <br />.2979 <br />.3121 <br />1.048.5 <br />3.326 <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 />.3007 <br />.3153 <br />i.0495 <br />3.295 <br />3.140 <br />.95234 <br />20 <br />40 <br />.4331 <br />.4306 <br />L 1095 <br />2.309 <br />2. 6S 1 <br />.90133 <br />20 <br />50 <br />.3035 <br />.3185 <br />1.0505 <br />3.265``3.103 <br />.93105 <br />10 <br />50 <br />.4355 <br />.4541 <br />1.1116 <br />2.295 <br />2.006 <br />.90007 <br />10 <br />10 <br />.3062 <br />MOO <br />.3217 <br />3249 <br />1.0.515 <br />3.236 <br />3.M <br />.0510672 <br />26 <br />.4354.48771.11262.?812;O50.S937964 <br />113 <br />1.0525 <br />3.207 <br />3.045 <br />.9NN <br />50 <br />10 <br />.4410 <br />.4913 <br />1.1142 <br />2.268 <br />2.035 <br />.59752 <br />50 <br />20 <br />.3118 <br />.3231 <br />1.0535 <br />3.179 <br />3.018 <br />.04924 <br />40 <br />20 <br />.4436 <br />.4950 <br />1,1158 <br />2.2542.020 <br />.59623 <br />40 <br />30 <br />.3145 <br />.3314 <br />1.0545 <br />3.152 <br />2.989 <br />.94532 <br />30 <br />30 <br />.4462 <br />.4936 <br />1.1L74 <br />2.2412.009.50493 <br />30 <br />40 <br />.3173 <br />.3346 <br />1.0555 <br />3.12"1 <br />.960 <br />.94740 <br />20 <br />40 <br />.4458 <br />.5022 <br />1. 1190 <br />� .223 <br />1.901 <br />.89363 <br />20 <br />50 <br />.3201 <br />.3378 <br />1.0566 <br />3.043 <br />2.932 <br />.04646 <br />10 <br />50.4514.50591.1207-,,2151.977.89232 <br />10 <br />19 <br />.3228 <br />.3411 <br />1.0576 <br />3.072 <br />x.004 <br />.94552 <br />71 <br />27 <br />.4540 <br />.5095 <br />.1223 <br />'.203 <br />1.963 <br />.89101 <br />63 <br />1032831..3476 <br />.3256 <br />.3443 <br />1.0537•.040.877 <br />.94457, <br />50 <br />10 <br />.4566 <br />.5132 <br />1.1240 <br />.190 <br />1.049 <br />.88968 <br />50 <br />20 <br />1.0598 <br />3.020 <br />'.850 <br />.94361 <br />40 <br />20 <br />.4592 <br />.5169 <br />L.1257 <br />.lis1.935 <br />.35335 <br />40 <br />30 <br />.3311 <br />.3508 <br />[.0608 <br />2.990 <br />.524 <br />.04264 <br />30. <br />30 <br />.467,7.5206 <br />1.1274 <br />.166 <br />1.921 <br />.85701 <br />30 <br />40 <br />.3333 <br />.3',4 65 <br />.3541 <br />.3574 <br />1.0619 <br />2.071 <br />.798.%167 <br />20 <br />40.4543.5243 <br />.1291 <br />.1541.907.SS560 <br />20 <br />10 <br />50 <br />.3393 <br />.3607 <br />1.0631 <br />2.047 <br />.773 <br />.94068 <br />10 <br />50 <br />.4669 <br />.5280 <br />1.13081.14211.594 <br />1.851 <br />.53431 <br />62 <br />20 <br />1.0642 <br />2.924 <br />2.747 <br />.93969 <br />70 <br />28 <br />.4695 <br />.5317 <br />1.1326 <br />.130 <br />yy <br />.83295 <br />10 <br />.3420 <br />.3610 <br />1.0653 <br />2.000 <br />' 723 <br />.93569 <br />50 <br />10 <br />.4720 <br />.5354 <br />1.1343 <br />. LIO <br />1.863 <br />.88153 <br />50 <br />20.3475.37061.01565i2.8778p.699. <br />.3448 <br />.3673 <br />03769 <br />40 <br />20.4746.53921.13GI2.1071.855.SS020 <br />40 <br />30 <br />1.0676 <br />?.856 <br />2.675 <br />.93667 <br />30 <br />30 <br />.4772 <br />.5430 <br />.1379 <br />!.096 <br />1.842 <br />.87582 <br />30 <br />40 <br />.3502 <br />.3730 <br />1.0638 <br />2.833 <br />.651 <br />.93565 <br />20 <br />40 <br />.4797 <br />.5457 <br />1.1397 <br />x.035 <br />1.829 <br />.37743 <br />20 <br />50 <br />.3529 <br />.3772 <br />1.0700 <br />2.811.623 <br />.03462 <br />10 <br />50 <br />.4823 <br />.5505 <br />1.1415 <br />2.073 <br />1.816 <br />.87603 <br />10 <br />21 <br />.3557 <br />.3584 <br />.3505 <br />.38.09 <br />1.0711 <br />2.790 <br />603 <br />.933.5369 <br />29 <br />.4348 <br />.5543 <br />1.1434 <br />1.063 <br />1.504 <br />.87452 <br />61 <br />10 <br />1.07231 <br />.769•?.583 <br />.93253 <br />50 <br />10 <br />.4374 <br />.55S1 <br />1.145? <br />.052 <br />1.792 <br />.S7321 <br />50 <br />20 <br />.3611 <br />.3872 <br />1.0736 <br />3.749 <br />[?.560 <br />.03143 <br />40 <br />20 <br />.4899 <br />.5619 <br />1.L471 <br />%.041 <br />1.780 <br />.8717S <br />40 <br />30 <br />.3638 <br />.3906 <br />LOW <br />2,729 <br />2.539 <br />.93042 <br />30 <br />30 <br />.4924 <br />.5658 <br />L L49O <br />2.031 <br />1.767 <br />.87036 <br />30 <br />40 <br />.3665 <br />.3939 <br />1.0760 <br />2.7091517 <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 />.3692 <br />.3973 <br />1.0773 <br />2.639 <br />2.496 <br />.92S27 <br />to <br />50.4975.57351.15?3 <br />.0101.744.86743 <br />10 <br />22 <br />.3719 <br />.4006 <br />1.078512.670'.475 <br />.92715 <br />68 <br />30 <br />.5000 <br />.5774 <br />1.1547 <br />2.000 <br />1.732 <br />.86603 <br />60 <br />10 <br />.3746 <br />.4040 <br />1.079S <br />2.650 <br />'.455 <br />,92609 <br />50 <br />10 <br />.5025 <br />.5512 <br />1.1566 <br />1.990 <br />1.720 <br />.,q&457 <br />50 <br />20 <br />.3773 <br />.4074 <br />LOS1[I2.632 <br />1.434 <br />.9209 <br />40 <br />20 <br />.5050 <br />.5551 <br />1.1536 <br />1.9501.709 <br />.56310 <br />40 <br />30 <br />.3500 <br />.4108 <br />1.0324 <br />2.613 <br />'.4t4 <br />.9?333 <br />30 <br />SO <br />.5073 <br />.5390 <br />L.1E06 <br />1.970 <br />1.695 <br />.86163 <br />30 <br />40 <br />.3327 <br />.4142 <br />1.OS37 <br />2.595 <br />2.304 <br />.922,'6 <br />20 <br />40 <br />.5100 <br />.5930 <br />1'.1 G26 <br />1.961 <br />1.636 <br />.56015 <br />20 <br />50.3351 <br />.3854 <br />.4176 <br />1D <br />50.5!25.59691.16461.9511.675.55866 <br />10 <br />23 <br />.42101.05502.5772.375.92164 <br />1.0864 <br />2.539 <br />2.356 <br />.92050 <br />57 <br />31 <br />..5150 <br />.6009 <br />1. L666 <br />1.942 <br />1.661 <br />.55717 <br />59 <br />10.3934.42791.03772.5422..":37 <br />.3907 <br />.4245 <br />.91936 <br />50 <br />10 <br />.5175 <br />.604.3 <br />1.16871.9321.G53.855E7 <br />50 <br />20.3961.4.3141.OSD12.525 <br />.318.91822 <br />40 <br />20.5200.60531.17071.9231.643:55416 <br />40 <br />30.3987.43451.00042.5052.300.91706 <br />SO <br />30.5225,61281.17"31.0141.632.85264 <br />30 <br />40 <br />1.0913 <br />2.491'2.2S2 <br />.91590 <br />20 <br />40 <br />.5250 <br />.6163 <br />1.1749 <br />1.905 <br />1.621 <br />.35112 <br />20 <br />50.4041 <br />.4014 <br />.4383 <br />10 <br />50.5275.62081.17701.890LG11.84959 <br />10 <br />.441, <br />.093??.4752.254.91472 <br />• <br />58 <br />or <br />Angle <br />� <br />or <br />Angle <br />Cash <br />Catg. <br />Cosec. <br />Sec. <br />an. <br />Stn. <br />Cosin. <br />C01g. <br />Cosec. <br />Sea <br />Ten. <br />Sin. <br />