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Table IX. -Natural Trigonometrical Functions. <br />Angle <br />Sin <br />Tan <br />Cot <br />Coe <br />Angle <br />Sin <br />Tan. <br />Cot <br />Coa <br />82 <br />.5299 <br />.6249 <br />1.600 <br />.84805 <br />58 <br />30 <br />.6225 <br />.7954 <br />1.257 <br />30 <br />18 <br />.2756 <br />.2867 <br />3.487 <br />.96126 <br />74 <br />24 <br />.4067 <br />.4452 <br />2.246 <br />.91355 <br />88 <br />]0 <br />.2784 <br />.2899 <br />3.450 <br />.96046 <br />50 <br />10 <br />.4094 <br />.4487 <br />2.229 <br />.91236 <br />50 <br />20 <br />.2812 <br />.2931 <br />3.412 <br />.95964 <br />40 <br />20 <br />.4120 <br />.4522 <br />2.211 <br />.91116 <br />40 <br />30 <br />.2840 <br />.2962 <br />3.376 <br />.95882 <br />30 <br />30 <br />.4147 <br />.4557 <br />2.194 <br />.90996 <br />30 <br />40 <br />.2868 <br />.2994 <br />3.340 <br />.95799 <br />20 <br />40 <br />.4173 <br />.4592 <br />2.177 <br />.90875 <br />20 <br />50 <br />.2896 <br />.3026 <br />3.305 <br />.95715 <br />10 <br />50 <br />.4200 <br />.4628 <br />2.161 <br />.90753 <br />10. <br />17 <br />.2924 <br />.3057 <br />3.271 <br />.95615 <br />79 <br />26 <br />.4226 <br />.4663 <br />2.145 <br />.90631 <br />86 <br />SO <br />.2952 <br />.3089 <br />3.237 <br />.95545 <br />50 <br />10 <br />.4253 <br />.4699 <br />2.128 <br />.90507 <br />50 <br />20 <br />.2979 <br />.3121 <br />3.204 <br />.95459 <br />40 <br />20 <br />.4279 <br />.4734 <br />2.112 <br />.90383 <br />40 <br />30 <br />.3007 <br />.3153 <br />'.172 <br />.95372 <br />30 <br />30 <br />.4305 <br />.4770 <br />2.097 <br />.90259 <br />30 <br />40 <br />.3035 <br />.3185 <br />3.140 <br />.95284 <br />20 <br />40 <br />.4331 <br />.4806 <br />2.081 <br />.90133 <br />20 <br />50 <br />.3062 <br />.3217 <br />3.108 <br />.95195 <br />10 <br />50 <br />.4358 <br />.4841 <br />2.066 <br />.90007 <br />10 <br />18 <br />.3090 <br />.3249 <br />3.078 <br />.95106 <br />7$ <br />28 <br />.4384 <br />.4877 <br />2.050 <br />.89879 <br />84 <br />10 <br />.3118 <br />.3281 <br />3.048 <br />.95015 <br />50 <br />10 <br />.4410 <br />.4913 <br />2.035 <br />.89752 <br />50 <br />20 <br />.3145 <br />.3314 <br />3.018 <br />.94924 <br />40 <br />20 <br />.4436 <br />.4950 <br />2.020 <br />.89623 <br />40 <br />30 <br />.3173 <br />.3346 <br />2.989 <br />.94832 <br />30 <br />30 <br />.4462 <br />.4986 <br />2.006 <br />.89493 <br />30 <br />40 <br />.3201 <br />.3378 <br />2.960 <br />.94740 <br />20 <br />40 <br />.4488 <br />.5022 <br />1.991 <br />.89363 <br />20 <br />50 <br />.3228 <br />.3411 <br />2.932 <br />.94646 <br />10 <br />50 <br />.4514 <br />.5059 <br />1.977 <br />.89232 <br />10 <br />18 <br />.3256 <br />.3443 <br />2.904 <br />.99552 <br />71 <br />27 <br />.4540 <br />.5035 <br />1.963 <br />.89101 <br />69 <br />10 <br />.3283 <br />.3476 <br />2.877 <br />.94457 <br />50 <br />�10 <br />.9566 <br />.5132 <br />1.949 <br />.88968 <br />50 <br />20 <br />.3311 <br />.3508 <br />2.850 <br />.94361 <br />40 <br />20 <br />.4592 <br />.5169 <br />1.935 <br />.88835 <br />40 <br />30 <br />.3338 <br />.3541 <br />2.824 <br />.94264 <br />30 <br />30 <br />.9617 <br />.5206 <br />1.921 <br />.88701 <br />30 <br />40 <br />.3365 <br />.3574 <br />2.798 <br />.94167 <br />20 <br />40 <br />.4643 <br />.5243 <br />1.907 <br />.74120 <br />.73924 <br />20 <br />50 <br />.3393 <br />.3607 <br />2.773 <br />.94068 <br />10 <br />50 <br />.4669 <br />.5280 <br />1.894 <br />.88566 <br />.88431 <br />10 <br />20 <br />.3420 <br />.3640 <br />2.747 <br />.93969 <br />70 <br />28 <br />.4695 <br />.5317 <br />1.881 <br />.88295 <br />88 <br />10 <br />.3448 <br />.3673 <br />2.723 <br />.93869 <br />50 <br />10 <br />.4720 <br />.5354 <br />1.868 <br />.88158 <br />50 <br />20 <br />.3475 <br />.3706 <br />2.699 <br />.93769 <br />40 <br />20 <br />.4746 <br />.5392 <br />1.855 <br />.88020 <br />40 <br />30 <br />.3502 <br />.3739 <br />2.675 <br />.93667 <br />30 <br />30 <br />.4772 <br />.5430 <br />1.842 <br />.87882 <br />30 <br />40 <br />.3529 <br />.3772 <br />2.651 <br />.93565 <br />20 <br />40 <br />.4797 <br />.5467 <br />1.829 <br />.87743 <br />20 <br />50 <br />.3557 <br />.3805 <br />2.628 <br />.93462 <br />10 <br />50 <br />.9823 <br />.5505 <br />1.816 <br />.87603 <br />10 <br />81 <br />.3584 <br />.3839 <br />2.605 <br />.93358 <br />88 <br />28 <br />.9848 <br />.5593 <br />1.804 <br />.87462 <br />81 <br />10 <br />.3611 <br />.3872 <br />2.583 <br />.93253 <br />50 <br />10 <br />.4874 <br />.5581 <br />1.792 <br />.87321 <br />50 <br />20 <br />.3638 <br />,3906 <br />2.560 <br />.93148 <br />40 <br />20 <br />.4899 <br />.5619 <br />1.780 <br />.87178 <br />40 <br />30 <br />.3665 <br />.3939 <br />2.539 <br />.93042 <br />30 <br />30 <br />.4924 <br />.5658 <br />1.767 <br />.87036 <br />30 <br />40 <br />.3692 <br />.3973 <br />2.517 <br />.92935 <br />20 <br />40 <br />.4950 <br />.5696 <br />1.756 <br />.86892 <br />20 <br />50 <br />.3719 <br />.4006 <br />2.496 <br />.92827 <br />10 <br />50 <br />.4975 <br />.5735 <br />1.744 <br />.86748 <br />10 <br />22 <br />.3746 <br />.4040 <br />2.475 <br />.92718 <br />88 <br />90 <br />.5000 <br />.5774 <br />1.732 <br />.86603 <br />60 <br />10 <br />.3773 <br />.9074 <br />2.455 <br />.92609 <br />50 <br />10 <br />.5025 <br />.5812 <br />1.720 <br />.86457 <br />50 <br />20 <br />.3800 <br />.4108 <br />2.434 <br />.92499 <br />40 <br />20 <br />.5050 <br />.5851 <br />1.709 <br />.86310 <br />40 <br />30 <br />.3827 <br />.4142 <br />2.414 <br />.92388 <br />'30 <br />30 <br />.5075 <br />.5890 <br />1.698 <br />.86163 <br />30 <br />40 <br />.3854 <br />.4176 <br />2.394 <br />.92276 <br />20 <br />40 <br />.5100 <br />'.5930 <br />1.686 <br />.86015 <br />20 <br />50 <br />.3881 <br />.4210 <br />2.375 <br />.92164 <br />10 <br />50 <br />.5125 <br />.5969 <br />1.675 <br />.85866 <br />10 <br />28 <br />.3907 <br />.4245 <br />2.356'.92050 <br />87 <br />91 <br />.5150 <br />.6009 <br />I.fi64 <br />.85717 <br />58 <br />10 <br />.3934 <br />.4279 <br />2.337 <br />.91936 <br />50 <br />10 <br />.5175 <br />.6048 <br />1.653 <br />.85567 <br />50 <br />20 <br />.3961 <br />.9314 <br />2.318 <br />.91822 <br />40 <br />20 <br />.5200 <br />.6088 <br />1.643 <br />.85416 <br />40 <br />30 <br />.3987 <br />.4348 <br />2.300 <br />.91706 <br />30 <br />30 <br />.5225 <br />.6128 <br />1.632 <br />.85264 <br />30 <br />40 <br />.4014 <br />.4383 <br />2.282 <br />.91590 <br />20 <br />40 <br />.5250 <br />.6168 <br />1.621 <br />.85112 <br />20 <br />50 <br />.4041 <br />.4417 <br />2.264 <br />.91472 <br />10 <br />50 <br />.5275 <br />.6208 <br />1.611 <br />.84959 <br />10 <br />88 <br />58 <br />Coe <br />Cot <br />Tan. <br />Sin <br />Angle <br />Cos <br />Cot <br />Tan. <br />Sin <br />Angle <br />r <br />f <br />Table IX. -Natural Trigonometrical Functions. <br />Angle I Sin I Tan Cot I Coe <br />Sin � Tan � Cot � Coe <br />Coe Cot Tan Sin I Angled I Coe Cot Tan I Sin Angle <br />� <br />82 <br />.5299 <br />.6249 <br />1.600 <br />.84805 <br />58 <br />30 <br />.6225 <br />.7954 <br />1.257 <br />30 <br />]0 <br />20 <br />.5324 <br />.5348 <br />,6289 <br />1.590 <br />1.580 <br />.84650 <br />50 <br />40 <br />40 <br />50 <br />,6248 <br />.8002 <br />1.250 <br />.78261 <br />.78%9 <br />20 <br />30 <br />.5373 <br />.6330 <br />.6371 <br />1.570 <br />.84495 <br />.89339 <br />30 <br />20 <br />30 <br />.6271 <br />.8050 <br />1.242 <br />.77897 <br />10 <br />40 <br />.5398 <br />.6412 <br />1.560 <br />.84182 <br />20 <br />98 <br />.6293 <br />.9827 <br />.9884 <br />1.235 <br />:71325 <br />51 <br />50 <br />.5422 <br />.6153 <br />1.550 <br />.84025 <br />30 <br />10 <br />.6316 <br />.8098 <br />,8146 <br />1.228 <br />.77715 <br />50 <br />89 <br />.5446 <br />.6494 <br />1.540 <br />.83867 <br />57 <br />20 <br />30 <br />.6338 <br />.8195 <br />1.220 <br />.77531 <br />.77347 <br />40 <br />10 <br />.5471 <br />.6536 <br />1.530 <br />.83708 <br />50 <br />40 <br />.6361 <br />.6383 <br />.8243 <br />1.213 <br />1.206 <br />.77162 <br />30 <br />20 <br />20 <br />.5495 <br />.6577 <br />1.520 <br />.63549 <br />40 <br />50 <br />.6406 <br />.8292 <br />1.199 <br />.76977 <br />30 <br />30 <br />.5519 <br />.6619 <br />1.511 <br />.83389 <br />30 <br />.8342 <br />.76791 <br />40 <br />.5544 <br />.6661 <br />1.501 <br />.83228 <br />20 <br />40 <br />.6428 <br />1.192 <br />50 <br />50 <br />.5568 <br />.6703 <br />1.492 <br />.83066 <br />10 <br />10 <br />.6450 <br />.8391 <br />.8441 <br />1.185 <br />.76604 <br />.76417 <br />50 <br />94 <br />.5592 <br />.6745 <br />1.483 <br />.82904 <br />58 <br />20 <br />30 <br />.6472 <br />.6494 <br />,8491 <br />1.178 <br />1.171 <br />.76229 <br />40 <br />30 <br />10 <br />.5616 <br />.6787 <br />1.473 <br />.82741 <br />50 <br />40 <br />.6517 <br />,8541 <br />.8591 <br />1.164 <br />.76041 <br />20 <br />20 <br />.5640 <br />.6830 <br />1.464 <br />.82577 <br />40 <br />50 <br />.6539 <br />.8642 <br />1.157 <br />.75851 <br />10 <br />30 <br />.5664 <br />.6873 <br />1.455 <br />.82413 <br />30 <br />.75661 <br />40 <br />.5688 <br />.6916 <br />1446 <br />.82248 <br />20 <br />41 <br />.6561 <br />.8693 <br />1.150 <br />49 <br />50 <br />.5712 <br />.6959 <br />1.937 <br />.82082 <br />10 <br />10 <br />.6583 <br />.8744 <br />1.144 <br />.75471 <br />.75280 <br />50 <br />95 <br />.5736 <br />.7002 <br />1.428 <br />.81915 <br />55 <br />20 <br />30 <br />.6604 <br />.6626 <br />.8796 <br />.8847 <br />1.137 <br />1.130 <br />.75088 <br />40 <br />30 <br />10 <br />.5760 <br />.7046 <br />1.919 <br />.81748 <br />50 <br />40 <br />.6648 <br />.8899 <br />1.124 <br />,74896 <br />20 <br />20 <br />.5783 <br />.7089 <br />1.411 <br />.81580 <br />40 <br />50 <br />.6670 <br />.&952 <br />1.117 <br />.74703 <br />10 <br />30 <br />.58% <br />.7133 <br />1.402 <br />.81412 <br />30 <br />.74509 <br />40 <br />.5831 <br />.7177 <br />1.393 <br />.81242 <br />20 <br />42 <br />.6691 <br />:9004 <br />1.111 <br />48 <br />50 <br />.5854 <br />.7221 <br />1.385 <br />.81072 <br />10 <br />10 <br />.6713 <br />.9057 <br />1.104 <br />.74314 <br />50 <br />98 <br />.5878 <br />.7265 <br />1.376 <br />.80902 <br />54 <br />20 <br />30 <br />.6734 <br />.6756 <br />.9110 <br />.9163 <br />1.098 <br />1.091 <br />.74120 <br />.73924 <br />40 <br />30 <br />30 <br />.5901 <br />.7310 <br />1.368 <br />.8%30 <br />50 <br />40 <br />.6777 <br />.9217 <br />1.085 <br />.73728 <br />20 <br />20 <br />.5925 <br />.7355 <br />1.360 <br />.80558 <br />40 <br />50 <br />.6799 <br />.9271 <br />1.079 <br />.73531 <br />10 <br />30 <br />.5948 <br />.7400 <br />1.351 <br />.80386 <br />30 <br />.73333 <br />40 <br />.5972 <br />.7445 <br />1.343 <br />.802]2 <br />20 <br />49 <br />.6820 <br />.9325 <br />1.072 <br />47 <br />50 <br />.5995 <br />.7490 <br />1.335 <br />.80038 <br />10 <br />10 <br />.6841 <br />.9380 <br />1.066 <br />.73135 <br />.72937 <br />50 <br />97 <br />.6018 <br />.7536 <br />1.327 <br />.79864 <br />53 <br />20 <br />30 <br />.6862 <br />.6884 <br />.9435 <br />.9490 <br />1.060 <br />1.054 <br />.72737 <br />40 <br />30 <br />10 <br />.6041 <br />.7581 <br />1.319 <br />.79688 <br />50 <br />40 <br />.6905 <br />.9545 <br />1.048 <br />.72537 <br />20 <br />20 <br />.6065 <br />.7627 <br />1.311 <br />.79512 <br />40 <br />50 <br />.6926 <br />1.042 <br />.72337 <br />10 <br />30 <br />6088 <br />7673 <br />1 303 <br />7933 <br />.9601 <br />.72136 <br />Coe Cot Tan Sin I Angled I Coe Cot Tan I Sin Angle <br />40 <br />.6111 <br />.7720 <br />1.295 <br />.79158 <br />20 <br />44 <br />.6947 <br />.9657 <br />1.036 <br />46 <br />50 <br />.6134 <br />.7766 <br />1.288 <br />.78980 <br />10 <br />10 <br />.6967 <br />.9713 <br />1.030 <br />.71934 <br />.71732 <br />50 <br />98 <br />.6157 <br />.7813 <br />L 280 <br />.78801 <br />52 <br />20 <br />30 <br />.6988 <br />.9770 <br />1.024 <br />1.018 <br />.71529 <br />40 <br />10 <br />.6180 <br />.7860 <br />1.272 <br />.78622 <br />50 <br />40 <br />.7009 <br />.7030 <br />.9827 <br />.9884 <br />1.012 <br />:71325 <br />30 <br />20 <br />20 <br />.6202 <br />.7907 <br />1.265 <br />.78442 <br />40 <br />50 <br />.7050 <br />.9942 <br />1.006 <br />.71121 <br />.70916 <br />10 <br />.7071 <br />.1 <br />1. <br />.70711 <br />46 <br />Coe Cot Tan Sin I Angled I Coe Cot Tan I Sin Angle <br />