Table of Tangents ( to 360°)
Deg 0 1 2 3 4 5 6 7 8 9
0 0.000000 0.001745 0.003491 0.005236 0.006981 0.008727 0.010472 0.012218 0.013964 0.015709
1 0.017455 0.019201 0.020947 0.022693 0.024439 0.026186 0.027933 0.029679 0.031426 0.033173
2 0.034921 0.036668 0.038416 0.040164 0.041912 0.043661 0.045410 0.047159 0.048908 0.050658
3 0.052408 0.054158 0.055909 0.057660 0.059411 0.061163 0.062915 0.064667 0.066420 0.068173
4 0.069927 0.071681 0.073435 0.075190 0.076946 0.078702 0.080458 0.082215 0.083972 0.085730
5 0.087489 0.089248 0.091007 0.092767 0.094528 0.096289 0.098051 0.099813 0.101576 0.103340
6 0.105104 0.106869 0.108635 0.110401 0.112168 0.113936 0.115704 0.117473 0.119243 0.121013
7 0.122785 0.124557 0.126329 0.128103 0.129877 0.131652 0.133428 0.135205 0.136983 0.138761
8 0.140541 0.142321 0.144102 0.145884 0.147667 0.149451 0.151236 0.153022 0.154808 0.156596
9 0.158384 0.160174 0.161965 0.163756 0.165549 0.167343 0.169137 0.170933 0.172730 0.174528
10 0.176327 0.178127 0.179928 0.181731 0.183534 0.185339 0.187145 0.188952 0.190760 0.192570
11 0.194380 0.196192 0.198005 0.199820 0.201635 0.203452 0.205271 0.207090 0.208911 0.210733
12 0.212557 0.214381 0.216208 0.218035 0.219864 0.221695 0.223526 0.225360 0.227194 0.229031
13 0.230868 0.232707 0.234548 0.236390 0.238234 0.240079 0.241925 0.243774 0.245624 0.247475
14 0.249328 0.251183 0.253039 0.254897 0.256756 0.258618 0.260480 0.262345 0.264211 0.266079
15 0.267949 0.269821 0.271694 0.273569 0.275446 0.277325 0.279205 0.281087 0.282971 0.284857
16 0.286745 0.288635 0.290527 0.292420 0.294316 0.296213 0.298113 0.300014 0.301918 0.303823
17 0.305731 0.307640 0.309552 0.311465 0.313381 0.315299 0.317219 0.319141 0.321065 0.322991
18 0.324920 0.326850 0.328783 0.330718 0.332656 0.334595 0.336537 0.338481 0.340428 0.342377
19 0.344328 0.346281 0.348237 0.350195 0.352156 0.354119 0.356084 0.358052 0.360022 0.361995
20 0.363970 0.365948 0.367928 0.369911 0.371897 0.373885 0.375875 0.377869 0.379864 0.381863
21 0.383864 0.385868 0.387874 0.389884 0.391896 0.393910 0.395928 0.397948 0.399971 0.401997
22 0.404026 0.406058 0.408092 0.410130 0.412170 0.414214 0.416260 0.418309 0.420361 0.422417
23 0.424475 0.426536 0.428601 0.430668 0.432739 0.434812 0.436889 0.438969 0.441053 0.443139
24 0.445229 0.447322 0.449418 0.451517 0.453620 0.455726 0.457836 0.459949 0.462065 0.464185
25 0.466308 0.468434 0.470564 0.472698 0.474835 0.476976 0.479120 0.481267 0.483419 0.485574
26 0.487733 0.489895 0.492061 0.494231 0.496404 0.498582 0.500763 0.502948 0.505136 0.507329
27 0.509525 0.511726 0.513930 0.516138 0.518351 0.520567 0.522787 0.525012 0.527240 0.529473
28 0.531709 0.533950 0.536195 0.538445 0.540698 0.542956 0.545218 0.547484 0.549755 0.552030
29 0.554309 0.556593 0.558881 0.561174 0.563471 0.565773 0.568079 0.570390 0.572705 0.575026
30 0.577350 0.579680 0.582014 0.584353 0.586697 0.589045 0.591398 0.593757 0.596120 0.598488
31 0.600861 0.603239 0.605622 0.608010 0.610403 0.612801 0.615204 0.617613 0.620026 0.622445
32 0.624869 0.627299 0.629734 0.632174 0.634619 0.637070 0.639527 0.641989 0.644456 0.646929
33 0.649408 0.651892 0.654382 0.656877 0.659379 0.661886 0.664398 0.666917 0.669442 0.671972
34 0.674509 0.677051 0.679599 0.682154 0.684714 0.687281 0.689854 0.692433 0.695018 0.697610
35 0.700208 0.702812 0.705422 0.708039 0.710663 0.713293 0.715930 0.718573 0.721223 0.723879
36 0.726543 0.729213 0.731889 0.734573 0.737264 0.739961 0.742666 0.745377 0.748096 0.750821
37 0.753554 0.756294 0.759041 0.761796 0.764558 0.767327 0.770104 0.772888 0.775680 0.778479
38 0.781286 0.784100 0.786922 0.789752 0.792590 0.795436 0.798290 0.801151 0.804021 0.806898
39 0.809784 0.812678 0.815580 0.818491 0.821409 0.824336 0.827272 0.830216 0.833169 0.836130
40 0.839100 0.842078 0.845066 0.848062 0.851067 0.854081 0.857104 0.860136 0.863177 0.866227
41 0.869287 0.872356 0.875434 0.878521 0.881619 0.884725 0.887842 0.890967 0.894103 0.897249
42 0.900404 0.903569 0.906745 0.909930 0.913125 0.916331 0.919547 0.922773 0.926010 0.929257
43 0.932515 0.935783 0.939063 0.942352 0.945653 0.948965 0.952287 0.955621 0.958966 0.962322
44 0.965689 0.969067 0.972458 0.975859 0.979272 0.982697 0.986134 0.989582 0.993043 0.996515
45 1.000000 1.003497 1.007006 1.010527 1.014061 1.017607 1.021166 1.024738 1.028323 1.031920
46 1.035530 1.039154 1.042790 1.046440 1.050103 1.053780 1.057470 1.061174 1.064892 1.068623
47 1.072369 1.076128 1.079902 1.083690 1.087492 1.091309 1.095140 1.098986 1.102846 1.106722
48 1.110613 1.114518 1.118439 1.122375 1.126327 1.130294 1.134277 1.138276 1.142291 1.146322
49 1.150368 1.154432 1.158511 1.162607 1.166720 1.170850 1.174996 1.179160 1.183340 1.187538
50 1.191754 1.195987 1.200237 1.204506 1.208792 1.213097 1.217420 1.221761 1.226121 1.230500
51 1.234897 1.239314 1.243749 1.248204 1.252678 1.257172 1.261686 1.266220 1.270773 1.275347
52 1.279942 1.284557 1.289192 1.293849 1.298526 1.303225 1.307946 1.312688 1.317451 1.322237
53 1.327045 1.331875 1.336728 1.341603 1.346501 1.351422 1.356367 1.361335 1.366327 1.371342
54 1.376382 1.381446 1.386534 1.391647 1.396785 1.401948 1.407137 1.412351 1.417590 1.422856
55 1.428148 1.433466 1.438811 1.444183 1.449583 1.455009 1.460463 1.465945 1.471455 1.476994
56 1.482561 1.488157 1.493782 1.499437 1.505121 1.510835 1.516580 1.522355 1.528160 1.533997
57 1.539865 1.545765 1.551696 1.557660 1.563656 1.569686 1.575748 1.581844 1.587973 1.594137
58 1.600335 1.606567 1.612835 1.619138 1.625477 1.631852 1.638263 1.644711 1.651196 1.657719
59 1.664279 1.670878 1.677516 1.684192 1.690908 1.697663 1.704459 1.711295 1.718172 1.725091
60 1.732051 1.739053 1.746098 1.753187 1.760318 1.767494 1.774714 1.781979 1.789289 1.796645
61 1.804048 1.811497 1.818993 1.826537 1.834130 1.841771 1.849461 1.857202 1.864992 1.872834
62 1.880726 1.888671 1.896669 1.904719 1.912824 1.920982 1.929196 1.937465 1.945790 1.954171
63 1.962611 1.971108 1.979664 1.988279 1.996954 2.005690 2.014487 2.023346 2.032268 2.041254
64 2.050304 2.059419 2.068599 2.077847 2.087161 2.096544 2.105995 2.115516 2.125108 2.134771
65 2.144507 2.154316 2.164198 2.174156 2.184189 2.194300 2.204488 2.214754 2.225101 2.235528
66 2.246037 2.256628 2.267304 2.278064 2.288910 2.299843 2.310864 2.321974 2.333175 2.344467
67 2.355852 2.367332 2.378906 2.390577 2.402346 2.414214 2.426182 2.438252 2.450425 2.462703
68 2.475087 2.487578 2.500178 2.512889 2.525712 2.538648 2.551699 2.564867 2.578154 2.591561
69 2.605089 2.618741 2.632519 2.646423 2.660457 2.674621 2.688919 2.703351 2.717920 2.732628
70 2.747477 2.762470 2.777607 2.792892 2.808326 2.823913 2.839654 2.855552 2.871609 2.887828
71 2.904211 2.920761 2.937481 2.954373 2.971440 2.988685 3.006111 3.023721 3.041517 3.059504
72 3.077684 3.096060 3.114635 3.133414 3.152399 3.171595 3.191004 3.210630 3.230478 3.250551
73 3.270853 3.291388 3.312160 3.333174 3.354433 3.375943 3.397709 3.419733 3.442023 3.464581
74 3.487414 3.510527 3.533925 3.557613 3.581598 3.605884 3.630477 3.655384 3.680611 3.706165
75 3.732051 3.758276 3.784848 3.811773 3.839059 3.866713 3.894743 3.923156 3.951962 3.981167
76 4.010781 4.040813 4.071271 4.102165 4.133505 4.165300 4.197561 4.230298 4.263522 4.297244
77 4.331476 4.366229 4.401516 4.437350 4.473743 4.510709 4.548261 4.586414 4.625183 4.664583
78 4.704630 4.745340 4.786730 4.828817 4.871620 4.915157 4.959447 5.004511 5.050369 5.097043
79 5.144554 5.192926 5.242184 5.292350 5.343453 5.395517 5.448572 5.502645 5.557766 5.613968
80 5.671282 5.729742 5.789383 5.850241 5.912355 5.975764 6.040510 6.106636 6.174186 6.243209
81 6.313752 6.385866 6.459607 6.535029 6.612192 6.691156 6.771987 6.854751 6.939519 7.026366
82 7.115370 7.206612 7.300178 7.396160 7.494651 7.595754 7.699574 7.806221 7.915815 8.028480
83 8.144346 8.263555 8.386252 8.512594 8.642747 8.776887 8.915201 9.057887 9.205156 9.357236
84 9.514364 9.676800 9.844817 10.018708 10.198789 10.385397 10.578895 10.779673 10.988150 11.204780
85 11.430052 11.664495 11.908682 12.163236 12.428831 12.706205 12.996160 13.299574 13.617409 13.950719
86 14.300666 14.668529 15.055723 15.463814 15.894545 16.349855 16.831915 17.343155 17.886310 18.464471
87 19.081137 19.740291 20.446486 21.204949 22.021710 22.903766 23.859277 24.897826 26.030736 27.271486
88 28.636253 30.144619 31.820516 33.693509 35.800553 38.188459 40.917412 44.066113 47.739501 52.080673
89 57.289962 63.656741 71.615070 81.847041 95.489475 114.588650 143.237122 190.984186 286.477734 572.957213
90 - -572.957213 -286.477734 -190.984186 -143.237122 -114.588650 -95.489475 -81.847041 -71.615070 -63.656741
91 -57.289962 -52.080673 -47.739501 -44.066113 -40.917412 -38.188459 -35.800553 -33.693509 -31.820516 -30.144619
92 -28.636253 -27.271486 -26.030736 -24.897826 -23.859277 -22.903766 -22.021710 -21.204949 -20.446486 -19.740291
93 -19.081137 -18.464471 -17.886310 -17.343155 -16.831915 -16.349855 -15.894545 -15.463814 -15.055723 -14.668529
94 -14.300666 -13.950719 -13.617409 -13.299574 -12.996160 -12.706205 -12.428831 -12.163236 -11.908682 -11.664495
95 -11.430052 -11.204780 -10.988150 -10.779673 -10.578895 -10.385397 -10.198789 -10.018708 -9.844817 -9.676800
96 -9.514364 -9.357236 -9.205156 -9.057887 -8.915201 -8.776887 -8.642747 -8.512594 -8.386252 -8.263555
97 -8.144346 -8.028480 -7.915815 -7.806221 -7.699574 -7.595754 -7.494651 -7.396160 -7.300178 -7.206612
98 -7.115370 -7.026366 -6.939519 -6.854751 -6.771987 -6.691156 -6.612192 -6.535029 -6.459607 -6.385866
99 -6.313752 -6.243209 -6.174186 -6.106636 -6.040510 -5.975764 -5.912355 -5.850241 -5.789383 -5.729742
100 -5.671282 -5.613968 -5.557766 -5.502645 -5.448572 -5.395517 -5.343453 -5.292350 -5.242184 -5.192926
101 -5.144554 -5.097043 -5.050369 -5.004511 -4.959447 -4.915157 -4.871620 -4.828817 -4.786730 -4.745340
102 -4.704630 -4.664583 -4.625183 -4.586414 -4.548261 -4.510709 -4.473743 -4.437350 -4.401516 -4.366229
103 -4.331476 -4.297244 -4.263522 -4.230298 -4.197561 -4.165300 -4.133505 -4.102165 -4.071271 -4.040813
104 -4.010781 -3.981167 -3.951962 -3.923156 -3.894743 -3.866713 -3.839059 -3.811773 -3.784848 -3.758276
105 -3.732051 -3.706165 -3.680611 -3.655384 -3.630477 -3.605884 -3.581598 -3.557613 -3.533925 -3.510527
106 -3.487414 -3.464581 -3.442023 -3.419733 -3.397709 -3.375943 -3.354433 -3.333174 -3.312160 -3.291388
107 -3.270853 -3.250551 -3.230478 -3.210630 -3.191004 -3.171595 -3.152399 -3.133414 -3.114635 -3.096060
108 -3.077684 -3.059504 -3.041517 -3.023721 -3.006111 -2.988685 -2.971440 -2.954373 -2.937481 -2.920761
109 -2.904211 -2.887828 -2.871609 -2.855552 -2.839654 -2.823913 -2.808326 -2.792892 -2.777607 -2.762470
110 -2.747477 -2.732628 -2.717920 -2.703351 -2.688919 -2.674621 -2.660457 -2.646423 -2.632519 -2.618741
111 -2.605089 -2.591561 -2.578154 -2.564867 -2.551699 -2.538648 -2.525712 -2.512889 -2.500178 -2.487578
112 -2.475087 -2.462703 -2.450425 -2.438252 -2.426182 -2.414214 -2.402346 -2.390577 -2.378906 -2.367332
113 -2.355852 -2.344467 -2.333175 -2.321974 -2.310864 -2.299843 -2.288910 -2.278064 -2.267304 -2.256628
114 -2.246037 -2.235528 -2.225101 -2.214754 -2.204488 -2.194300 -2.184189 -2.174156 -2.164198 -2.154316
115 -2.144507 -2.134771 -2.125108 -2.115516 -2.105995 -2.096544 -2.087161 -2.077847 -2.068599 -2.059419
116 -2.050304 -2.041254 -2.032268 -2.023346 -2.014487 -2.005690 -1.996954 -1.988279 -1.979664 -1.971108
117 -1.962611 -1.954171 -1.945790 -1.937465 -1.929196 -1.920982 -1.912824 -1.904719 -1.896669 -1.888671
118 -1.880726 -1.872834 -1.864992 -1.857202 -1.849461 -1.841771 -1.834130 -1.826537 -1.818993 -1.811497
119 -1.804048 -1.796645 -1.789289 -1.781979 -1.774714 -1.767494 -1.760318 -1.753187 -1.746098 -1.739053
120 -1.732051 -1.725091 -1.718172 -1.711295 -1.704459 -1.697663 -1.690908 -1.684192 -1.677516 -1.670878
121 -1.664279 -1.657719 -1.651196 -1.644711 -1.638263 -1.631852 -1.625477 -1.619138 -1.612835 -1.606567
122 -1.600335 -1.594137 -1.587973 -1.581844 -1.575748 -1.569686 -1.563656 -1.557660 -1.551696 -1.545765
123 -1.539865 -1.533997 -1.528160 -1.522355 -1.516580 -1.510835 -1.505121 -1.499437 -1.493782 -1.488157
124 -1.482561 -1.476994 -1.471455 -1.465945 -1.460463 -1.455009 -1.449583 -1.444183 -1.438811 -1.433466
125 -1.428148 -1.422856 -1.417590 -1.412351 -1.407137 -1.401948 -1.396785 -1.391647 -1.386534 -1.381446
126 -1.376382 -1.371342 -1.366327 -1.361335 -1.356367 -1.351422 -1.346501 -1.341603 -1.336728 -1.331875
127 -1.327045 -1.322237 -1.317451 -1.312688 -1.307946 -1.303225 -1.298526 -1.293849 -1.289192 -1.284557
128 -1.279942 -1.275347 -1.270773 -1.266220 -1.261686 -1.257172 -1.252678 -1.248204 -1.243749 -1.239314
129 -1.234897 -1.230500 -1.226121 -1.221761 -1.217420 -1.213097 -1.208792 -1.204506 -1.200237 -1.195987
130 -1.191754 -1.187538 -1.183340 -1.179160 -1.174996 -1.170850 -1.166720 -1.162607 -1.158511 -1.154432
131 -1.150368 -1.146322 -1.142291 -1.138276 -1.134277 -1.130294 -1.126327 -1.122375 -1.118439 -1.114518
132 -1.110613 -1.106722 -1.102846 -1.098986 -1.095140 -1.091309 -1.087492 -1.083690 -1.079902 -1.076128
133 -1.072369 -1.068623 -1.064892 -1.061174 -1.057470 -1.053780 -1.050103 -1.046440 -1.042790 -1.039154
134 -1.035530 -1.031920 -1.028323 -1.024738 -1.021166 -1.017607 -1.014061 -1.010527 -1.007006 -1.003497
135 -1.000000 -0.996515 -0.993043 -0.989582 -0.986134 -0.982697 -0.979272 -0.975859 -0.972458 -0.969067
136 -0.965689 -0.962322 -0.958966 -0.955621 -0.952287 -0.948965 -0.945653 -0.942352 -0.939063 -0.935783
137 -0.932515 -0.929257 -0.926010 -0.922773 -0.919547 -0.916331 -0.913125 -0.909930 -0.906745 -0.903569
138 -0.900404 -0.897249 -0.894103 -0.890967 -0.887842 -0.884725 -0.881619 -0.878521 -0.875434 -0.872356
139 -0.869287 -0.866227 -0.863177 -0.860136 -0.857104 -0.854081 -0.851067 -0.848062 -0.845066 -0.842078
140 -0.839100 -0.836130 -0.833169 -0.830216 -0.827272 -0.824336 -0.821409 -0.818491 -0.815580 -0.812678
141 -0.809784 -0.806898 -0.804021 -0.801151 -0.798290 -0.795436 -0.792590 -0.789752 -0.786922 -0.784100
142 -0.781286 -0.778479 -0.775680 -0.772888 -0.770104 -0.767327 -0.764558 -0.761796 -0.759041 -0.756294
143 -0.753554 -0.750821 -0.748096 -0.745377 -0.742666 -0.739961 -0.737264 -0.734573 -0.731889 -0.729213
144 -0.726543 -0.723879 -0.721223 -0.718573 -0.715930 -0.713293 -0.710663 -0.708039 -0.705422 -0.702812
145 -0.700208 -0.697610 -0.695018 -0.692433 -0.689854 -0.687281 -0.684714 -0.682154 -0.679599 -0.677051
146 -0.674509 -0.671972 -0.669442 -0.666917 -0.664398 -0.661886 -0.659379 -0.656877 -0.654382 -0.651892
147 -0.649408 -0.646929 -0.644456 -0.641989 -0.639527 -0.637070 -0.634619 -0.632174 -0.629734 -0.627299
148 -0.624869 -0.622445 -0.620026 -0.617613 -0.615204 -0.612801 -0.610403 -0.608010 -0.605622 -0.603239
149 -0.600861 -0.598488 -0.596120 -0.593757 -0.591398 -0.589045 -0.586697 -0.584353 -0.582014 -0.579680
150 -0.577350 -0.575026 -0.572705 -0.570390 -0.568079 -0.565773 -0.563471 -0.561174 -0.558881 -0.556593
151 -0.554309 -0.552030 -0.549755 -0.547484 -0.545218 -0.542956 -0.540698 -0.538445 -0.536195 -0.533950
152 -0.531709 -0.529473 -0.527240 -0.525012 -0.522787 -0.520567 -0.518351 -0.516138 -0.513930 -0.511726
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