Page 170 - Essentials of applied mathematics for scientists and engineers

book Mobk070 March 22, 2007 11:7

160 ESSENTIALS OF APPLIED MATHEMATICS FOR SCIENTISTS AND ENGINEERS

TABLE A.1: (continue)

α tan α + C = 0.
C α 1 α 2 α 3 α 4 α 5 α 6
0.9 0.8274 3.4003 6.4224 9.5190 12.6375 15.7650

1.0 0.8603 3.4256 6.4373 9.5293 12.6453 15.7713
1.5 0.9882 3.5422 6.5097 9.5801 12.6841 15.8026
2.0 1.0769 3.6436 6.5783 9.6296 12.7223 15.8336
3.0 1.1925 3.8088 6.7040 9.7240 12.7966 15.8945
4.0 1.2646 3.9352 6.8140 9.8119 12.8678 15.9536

5.0 1.3138 4.0336 6.9096 9.8928 12.9352 16.0107
6.0 1.3496 4.1116 6.9924 9.9667 12.9988 16.0654
7.0 1.3766 4.1746 7.0640 10.0339 13.0584 16.1177

8.0 1.3978 4.2264 7.1263 10.0949 13.1141 16.1675
9.0 1.4149 4.2694 7.1806 10.1502 13.1660 16.2147
10.0 1.4289 4.3058 7.2281 10.2003 13.2142 16.2594
15.0 1.4729 4.4255 7.3959 10.3898 13.4078 16.4474
20.0 1.4961 4.4915 7.4954 10.5117 13.5420 16.5864

30.0 1.5202 4.5615 7.6057 10.6543 13.7085 16.7691
40.0 1.5325 4.5979 7.6647 10.7334 13.8048 16.8794
50.0 1.5400 4.6202 7.7012 10.7832 13.8666 16.9519

60.0 1.5451 4.6353 7.7259 10.8172 13.9094 17.0026
80.0 1.5514 4.6543 7.7573 10.8606 13.9644 17.0686
100.0 1.5552 4.6658 7.7764 10.8871 13.9981 17.1093
∞ 1.5708 4.7124 7.8540 10.9956 14.1372 17.2788
† The roots of this equation are all real if C > 0.