Table of Cosecants ( to 360°)
Deg 0 1 2 3 4 5 6 7 8 9
0 - 572.958086 286.479479 190.986804 143.240612 114.593013 95.494711 81.853150 71.622052 63.664595
1 57.298688 52.090272 47.749974 44.077458 40.929630 38.201550 35.814517 33.708345 31.836225 30.161201
2 28.653708 27.289814 26.049937 24.917900 23.880224 22.925586 22.044403 21.228515 20.470926 19.765604
3 19.107323 18.491530 17.914243 17.371960 16.861594 16.380408 15.925971 15.496114 15.088896 14.702576
4 14.335587 13.986514 13.654077 13.337116 13.034576 12.745495 12.468995 12.204274 11.950595 11.707282
5 11.473713 11.249316 11.033560 10.825957 10.626054 10.433431 10.247697 10.068491 9.895474 9.728333
6 9.566772 9.410518 9.259314 9.112920 8.971110 8.833671 8.700407 8.571130 8.445663 8.323841
7 8.205509 8.090518 7.978730 7.870012 7.764241 7.661298 7.561071 7.463456 7.368351 7.275662
8 7.185297 7.097170 7.011200 6.927309 6.845422 6.765469 6.687382 6.611097 6.536553 6.463690
9 6.392453 6.322788 6.254645 6.187972 6.122725 6.058858 5.996327 5.935092 5.875113 5.816351
10 5.758770 5.702336 5.647014 5.592772 5.539579 5.487404 5.436220 5.385998 5.336711 5.288335
11 5.240843 5.194212 5.148420 5.103443 5.059261 5.015852 4.973196 4.931275 4.890070 4.849562
12 4.809734 4.770570 4.732052 4.694166 4.656896 4.620226 4.584144 4.548634 4.513684 4.479281
13 4.445411 4.412064 4.379226 4.346886 4.315034 4.283658 4.252747 4.222293 4.192284 4.162711
14 4.133565 4.104837 4.076518 4.048599 4.021072 3.993929 3.967162 3.940763 3.914725 3.889041
15 3.863703 3.838705 3.814040 3.789701 3.765682 3.741978 3.718580 3.695485 3.672687 3.650178
16 3.627955 3.606012 3.584344 3.562945 3.541811 3.520937 3.500318 3.479949 3.459827 3.439947
17 3.420304 3.400894 3.381714 3.362759 3.344025 3.325510 3.307208 3.289116 3.271231 3.253550
18 3.236068 3.218783 3.201691 3.184790 3.168076 3.151545 3.135196 3.119025 3.103030 3.087207
19 3.071553 3.056068 3.040746 3.025587 3.010587 2.995744 2.981056 2.966521 2.952135 2.937897
20 2.923804 2.909855 2.896048 2.882379 2.868847 2.855451 2.842188 2.829056 2.816053 2.803178
21 2.790428 2.777802 2.765299 2.752916 2.740651 2.728504 2.716472 2.704554 2.692748 2.681053
22 2.669467 2.657989 2.646617 2.635351 2.624187 2.613126 2.602165 2.591304 2.580541 2.569875
23 2.559305 2.548828 2.538445 2.528154 2.517954 2.507843 2.497820 2.487885 2.478037 2.468273
24 2.458593 2.448997 2.439482 2.430049 2.420695 2.411421 2.402225 2.393106 2.384063 2.375095
25 2.366202 2.357382 2.348635 2.339959 2.331355 2.322820 2.314355 2.305959 2.297630 2.289368
26 2.281172 2.273042 2.264976 2.256974 2.249035 2.241158 2.233344 2.225590 2.217897 2.210264
27 2.202689 2.195173 2.187715 2.180314 2.172969 2.165681 2.158447 2.151268 2.144144 2.137073
28 2.130054 2.123089 2.116175 2.109312 2.102500 2.095739 2.089027 2.082364 2.075750 2.069184
29 2.062665 2.056194 2.049770 2.043392 2.037059 2.030772 2.024530 2.018332 2.012178 2.006067
30 2.000000 1.993975 1.987993 1.982052 1.976153 1.970294 1.964477 1.958699 1.952961 1.947263
31 1.941604 1.935983 1.930401 1.924857 1.919350 1.913881 1.908448 1.903052 1.897692 1.892368
32 1.887080 1.881827 1.876608 1.871424 1.866275 1.861159 1.856077 1.851028 1.846012 1.841029
33 1.836078 1.831160 1.826273 1.821418 1.816594 1.811801 1.807039 1.802307 1.797605 1.792934
34 1.788292 1.783679 1.779095 1.774541 1.770015 1.765517 1.761048 1.756606 1.752192 1.747806
35 1.743447 1.739115 1.734809 1.730530 1.726277 1.722051 1.717850 1.713675 1.709525 1.705401
36 1.701302 1.697227 1.693177 1.689152 1.685150 1.681173 1.677220 1.673290 1.669383 1.665500
37 1.661640 1.657803 1.653989 1.650197 1.646427 1.642680 1.638954 1.635251 1.631569 1.627908
38 1.624269 1.620651 1.617054 1.613478 1.609923 1.606388 1.602873 1.599379 1.595905 1.592450
39 1.589016 1.585601 1.582205 1.578829 1.575472 1.572134 1.568815 1.565514 1.562232 1.558969
40 1.555724 1.552497 1.549288 1.546097 1.542924 1.539769 1.536631 1.533511 1.530408 1.527322
41 1.524253 1.521201 1.518166 1.515148 1.512146 1.509160 1.506191 1.503239 1.500302 1.497381
42 1.494477 1.491588 1.488714 1.485856 1.483014 1.480187 1.477376 1.474579 1.471797 1.469031
43 1.466279 1.463542 1.460820 1.458112 1.455419 1.452740 1.450075 1.447424 1.444788 1.442165
44 1.439557 1.436962 1.434380 1.431813 1.429259 1.426718 1.424191 1.421677 1.419176 1.416688
45 1.414214 1.411752 1.409303 1.406867 1.404443 1.402032 1.399634 1.397248 1.394874 1.392513
46 1.390164 1.387827 1.385502 1.383189 1.380888 1.378598 1.376321 1.374055 1.371801 1.369559
47 1.367327 1.365108 1.362899 1.360702 1.358516 1.356342 1.354178 1.352025 1.349884 1.347753
48 1.345633 1.343523 1.341425 1.339337 1.337259 1.335192 1.333136 1.331090 1.329054 1.327028
49 1.325013 1.323008 1.321013 1.319027 1.317052 1.315087 1.313132 1.311186 1.309250 1.307324
50 1.305407 1.303500 1.301603 1.299715 1.297836 1.295967 1.294107 1.292256 1.290415 1.288583
51 1.286760 1.284945 1.283140 1.281344 1.279557 1.277779 1.276009 1.274248 1.272496 1.270753
52 1.269018 1.267292 1.265574 1.263865 1.262165 1.260472 1.258789 1.257113 1.255446 1.253787
53 1.252136 1.250493 1.248858 1.247232 1.245613 1.244003 1.242400 1.240805 1.239218 1.237639
54 1.236068 1.234504 1.232949 1.231400 1.229860 1.228327 1.226801 1.225284 1.223773 1.222270
55 1.220775 1.219286 1.217805 1.216332 1.214866 1.213406 1.211954 1.210510 1.209072 1.207641
56 1.206218 1.204801 1.203392 1.201989 1.200594 1.199205 1.197823 1.196448 1.195080 1.193718
57 1.192363 1.191015 1.189674 1.188339 1.187011 1.185689 1.184374 1.183065 1.181763 1.180468
58 1.179178 1.177896 1.176619 1.175349 1.174085 1.172828 1.171576 1.170331 1.169093 1.167860
59 1.166633 1.165413 1.164199 1.162990 1.161788 1.160592 1.159402 1.158218 1.157039 1.155867
60 1.154701 1.153540 1.152385 1.151236 1.150093 1.148956 1.147824 1.146698 1.145578 1.144463
61 1.143354 1.142251 1.141153 1.140061 1.138974 1.137893 1.136818 1.135748 1.134683 1.133624
62 1.132570 1.131522 1.130479 1.129441 1.128409 1.127382 1.126360 1.125344 1.124333 1.123327
63 1.122326 1.121331 1.120340 1.119355 1.118375 1.117400 1.116431 1.115466 1.114506 1.113552
64 1.112602 1.111657 1.110718 1.109783 1.108853 1.107929 1.107009 1.106094 1.105184 1.104278
65 1.103378 1.102482 1.101592 1.100706 1.099824 1.098948 1.098076 1.097209 1.096347 1.095489
66 1.094636 1.093788 1.092944 1.092105 1.091271 1.090441 1.089616 1.088795 1.087979 1.087167
67 1.086360 1.085558 1.084760 1.083966 1.083177 1.082392 1.081612 1.080836 1.080065 1.079297
68 1.078535 1.077776 1.077022 1.076273 1.075527 1.074786 1.074049 1.073317 1.072589 1.071865
69 1.071145 1.070429 1.069718 1.069011 1.068308 1.067609 1.066915 1.066224 1.065538 1.064856
70 1.064178 1.063504 1.062834 1.062168 1.061506 1.060849 1.060195 1.059545 1.058900 1.058258
71 1.057621 1.056987 1.056357 1.055732 1.055110 1.054492 1.053878 1.053269 1.052663 1.052060
72 1.051462 1.050868 1.050277 1.049691 1.049108 1.048529 1.047954 1.047383 1.046815 1.046252
73 1.045692 1.045136 1.044583 1.044035 1.043490 1.042949 1.042412 1.041878 1.041348 1.040822
74 1.040299 1.039781 1.039266 1.038754 1.038246 1.037742 1.037242 1.036745 1.036252 1.035762
75 1.035276 1.034794 1.034315 1.033840 1.033368 1.032900 1.032436 1.031975 1.031518 1.031064
76 1.030614 1.030167 1.029724 1.029284 1.028848 1.028415 1.027986 1.027560 1.027138 1.026719
77 1.026304 1.025892 1.025484 1.025079 1.024678 1.024280 1.023885 1.023494 1.023106 1.022722
78 1.022341 1.021963 1.021589 1.021218 1.020851 1.020487 1.020126 1.019769 1.019415 1.019064
79 1.018717 1.018373 1.018032 1.017695 1.017361 1.017030 1.016703 1.016379 1.016058 1.015741
80 1.015427 1.015116 1.014808 1.014504 1.014203 1.013905 1.013611 1.013319 1.013031 1.012747
81 1.012465 1.012187 1.011912 1.011640 1.011371 1.011106 1.010844 1.010585 1.010329 1.010077
82 1.009828 1.009581 1.009339 1.009099 1.008862 1.008629 1.008399 1.008172 1.007948 1.007727
83 1.007510 1.007295 1.007084 1.006876 1.006671 1.006470 1.006271 1.006076 1.005883 1.005694
84 1.005508 1.005325 1.005146 1.004969 1.004795 1.004625 1.004458 1.004294 1.004133 1.003975
85 1.003820 1.003668 1.003519 1.003374 1.003232 1.003092 1.002956 1.002823 1.002693 1.002566
86 1.002442 1.002321 1.002203 1.002089 1.001977 1.001869 1.001763 1.001661 1.001562 1.001465
87 1.001372 1.001282 1.001195 1.001111 1.001030 1.000953 1.000878 1.000806 1.000738 1.000672
88 1.000610 1.000550 1.000494 1.000440 1.000390 1.000343 1.000299 1.000257 1.000219 1.000184
89 1.000152 1.000123 1.000097 1.000075 1.000055 1.000038 1.000024 1.000014 1.000006 1.000002
90 1.000000 1.000002 1.000006 1.000014 1.000024 1.000038 1.000055 1.000075 1.000097 1.000123
91 1.000152 1.000184 1.000219 1.000257 1.000299 1.000343 1.000390 1.000440 1.000494 1.000550
92 1.000610 1.000672 1.000738 1.000806 1.000878 1.000953 1.001030 1.001111 1.001195 1.001282
93 1.001372 1.001465 1.001562 1.001661 1.001763 1.001869 1.001977 1.002089 1.002203 1.002321
94 1.002442 1.002566 1.002693 1.002823 1.002956 1.003092 1.003232 1.003374 1.003519 1.003668
95 1.003820 1.003975 1.004133 1.004294 1.004458 1.004625 1.004795 1.004969 1.005146 1.005325
96 1.005508 1.005694 1.005883 1.006076 1.006271 1.006470 1.006671 1.006876 1.007084 1.007295
97 1.007510 1.007727 1.007948 1.008172 1.008399 1.008629 1.008862 1.009099 1.009339 1.009581
98 1.009828 1.010077 1.010329 1.010585 1.010844 1.011106 1.011371 1.011640 1.011912 1.012187
99 1.012465 1.012747 1.013031 1.013319 1.013611 1.013905 1.014203 1.014504 1.014808 1.015116
100 1.015427 1.015741 1.016058 1.016379 1.016703 1.017030 1.017361 1.017695 1.018032 1.018373
101 1.018717 1.019064 1.019415 1.019769 1.020126 1.020487 1.020851 1.021218 1.021589 1.021963
102 1.022341 1.022722 1.023106 1.023494 1.023885 1.024280 1.024678 1.025079 1.025484 1.025892
103 1.026304 1.026719 1.027138 1.027560 1.027986 1.028415 1.028848 1.029284 1.029724 1.030167
104 1.030614 1.031064 1.031518 1.031975 1.032436 1.032900 1.033368 1.033840 1.034315 1.034794
105 1.035276 1.035762 1.036252 1.036745 1.037242 1.037742 1.038246 1.038754 1.039266 1.039781
106 1.040299 1.040822 1.041348 1.041878 1.042412 1.042949 1.043490 1.044035 1.044583 1.045136
107 1.045692 1.046252 1.046815 1.047383 1.047954 1.048529 1.049108 1.049691 1.050277 1.050868
108 1.051462 1.052060 1.052663 1.053269 1.053878 1.054492 1.055110 1.055732 1.056357 1.056987
109 1.057621 1.058258 1.058900 1.059545 1.060195 1.060849 1.061506 1.062168 1.062834 1.063504
110 1.064178 1.064856 1.065538 1.066224 1.066915 1.067609 1.068308 1.069011 1.069718 1.070429
111 1.071145 1.071865 1.072589 1.073317 1.074049 1.074786 1.075527 1.076273 1.077022 1.077776
112 1.078535 1.079297 1.080065 1.080836 1.081612 1.082392 1.083177 1.083966 1.084760 1.085558
113 1.086360 1.087167 1.087979 1.088795 1.089616 1.090441 1.091271 1.092105 1.092944 1.093788
114 1.094636 1.095489 1.096347 1.097209 1.098076 1.098948 1.099824 1.100706 1.101592 1.102482
115 1.103378 1.104278 1.105184 1.106094 1.107009 1.107929 1.108853 1.109783 1.110718 1.111657
116 1.112602 1.113552 1.114506 1.115466 1.116431 1.117400 1.118375 1.119355 1.120340 1.121331
117 1.122326 1.123327 1.124333 1.125344 1.126360 1.127382 1.128409 1.129441 1.130479 1.131522
118 1.132570 1.133624 1.134683 1.135748 1.136818 1.137893 1.138974 1.140061 1.141153 1.142251
119 1.143354 1.144463 1.145578 1.146698 1.147824 1.148956 1.150093 1.151236 1.152385 1.153540
120 1.154701 1.155867 1.157039 1.158218 1.159402 1.160592 1.161788 1.162990 1.164199 1.165413
121 1.166633 1.167860 1.169093 1.170331 1.171576 1.172828 1.174085 1.175349 1.176619 1.177896
122 1.179178 1.180468 1.181763 1.183065 1.184374 1.185689 1.187011 1.188339 1.189674 1.191015
123 1.192363 1.193718 1.195080 1.196448 1.197823 1.199205 1.200594 1.201989 1.203392 1.204801
124 1.206218 1.207641 1.209072 1.210510 1.211954 1.213406 1.214866 1.216332 1.217805 1.219286
125 1.220775 1.222270 1.223773 1.225284 1.226801 1.228327 1.229860 1.231400 1.232949 1.234504
126 1.236068 1.237639 1.239218 1.240805 1.242400 1.244003 1.245613 1.247232 1.248858 1.250493
127 1.252136 1.253787 1.255446 1.257113 1.258789 1.260472 1.262165 1.263865 1.265574 1.267292
128 1.269018 1.270753 1.272496 1.274248 1.276009 1.277779 1.279557 1.281344 1.283140 1.284945
129 1.286760 1.288583 1.290415 1.292256 1.294107 1.295967 1.297836 1.299715 1.301603 1.303500
130 1.305407 1.307324 1.309250 1.311186 1.313132 1.315087 1.317052 1.319027 1.321013 1.323008
131 1.325013 1.327028 1.329054 1.331090 1.333136 1.335192 1.337259 1.339337 1.341425 1.343523
132 1.345633 1.347753 1.349884 1.352025 1.354178 1.356342 1.358516 1.360702 1.362899 1.365108
133 1.367327 1.369559 1.371801 1.374055 1.376321 1.378598 1.380888 1.383189 1.385502 1.387827
134 1.390164 1.392513 1.394874 1.397248 1.399634 1.402032 1.404443 1.406867 1.409303 1.411752
135 1.414214 1.416688 1.419176 1.421677 1.424191 1.426718 1.429259 1.431813 1.434380 1.436962
136 1.439557 1.442165 1.444788 1.447424 1.450075 1.452740 1.455419 1.458112 1.460820 1.463542
137 1.466279 1.469031 1.471797 1.474579 1.477376 1.480187 1.483014 1.485856 1.488714 1.491588
138 1.494477 1.497381 1.500302 1.503239 1.506191 1.509160 1.512146 1.515148 1.518166 1.521201
139 1.524253 1.527322 1.530408 1.533511 1.536631 1.539769 1.542924 1.546097 1.549288 1.552497
140 1.555724 1.558969 1.562232 1.565514 1.568815 1.572134 1.575472 1.578829 1.582205 1.585601
141 1.589016 1.592450 1.595905 1.599379 1.602873 1.606388 1.609923 1.613478 1.617054 1.620651
142 1.624269 1.627908 1.631569 1.635251 1.638954 1.642680 1.646427 1.650197 1.653989 1.657803
143 1.661640 1.665500 1.669383 1.673290 1.677220 1.681173 1.685150 1.689152 1.693177 1.697227
144 1.701302 1.705401 1.709525 1.713675 1.717850 1.722051 1.726277 1.730530 1.734809 1.739115
145 1.743447 1.747806 1.752192 1.756606 1.761048 1.765517 1.770015 1.774541 1.779095 1.783679
146 1.788292 1.792934 1.797605 1.802307 1.807039 1.811801 1.816594 1.821418 1.826273 1.831160
147 1.836078 1.841029 1.846012 1.851028 1.856077 1.861159 1.866275 1.871424 1.876608 1.881827
148 1.887080 1.892368 1.897692 1.903052 1.908448 1.913881 1.919350 1.924857 1.930401 1.935983
149 1.941604 1.947263 1.952961 1.958699 1.964477 1.970294 1.976153 1.982052 1.987993 1.993975
150 2.000000 2.006067 2.012178 2.018332 2.024530 2.030772 2.037059 2.043392 2.049770 2.056194
151 2.062665 2.069184 2.075750 2.082364 2.089027 2.095739 2.102500 2.109312 2.116175 2.123089
152 2.130054 2.137073 2.144144 2.151268 2.158447 2.165681 2.172969 2.180314 2.187715 2.195173
153 2.202689 2.210264 2.217897 2.225590 2.233344 2.241158 2.249035 2.256974 2.264976 2.273042
154 2.281172 2.289368 2.297630 2.305959 2.314355 2.322820 2.331355 2.339959 2.348635 2.357382
155 2.366202 2.375095 2.384063 2.393106 2.402225 2.411421 2.420695 2.430049 2.439482 2.448997
156 2.458593 2.468273 2.478037 2.487885 2.497820 2.507843 2.517954 2.528154 2.538445 2.548828
157 2.559305 2.569875 2.580541 2.591304 2.602165 2.613126 2.624187 2.635351 2.646617 2.657989
158 2.669467 2.681053 2.692748 2.704554 2.716472 2.728504 2.740651 2.752916 2.765299 2.777802
159 2.790428 2.803178 2.816053 2.829056 2.842188 2.855451 2.868847 2.882379 2.896048 2.909855
160 2.923804 2.937897 2.952135 2.966521 2.981056 2.995744 3.010587 3.025587 3.040746 3.056068
161 3.071553 3.087207 3.103030 3.119025 3.135196 3.151545 3.168076 3.184790 3.201691 3.218783
162 3.236068 3.253550 3.271231 3.289116 3.307208 3.325510 3.344025 3.362759 3.381714 3.400894
163 3.420304 3.439947 3.459827 3.479949 3.500318 3.520937 3.541811 3.562945 3.584344 3.606012
164 3.627955 3.650178 3.672687 3.695485 3.718580 3.741978 3.765682 3.789701 3.814040 3.838705
165 3.863703 3.889041 3.914725 3.940763 3.967162 3.993929 4.021072 4.048599 4.076518 4.104837
166 4.133565 4.162711 4.192284 4.222293 4.252747 4.283658 4.315034 4.346886 4.379226 4.412064
167 4.445411 4.479281 4.513684 4.548634 4.584144 4.620226 4.656896 4.694166 4.732052 4.770570
168 4.809734 4.849562 4.890070 4.931275 4.973196 5.015852 5.059261 5.103443 5.148420 5.194212
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