Table 2.2. A table of cosines
Degrees |
|
Radians |
|
Cosines |
|
|
Degrees |
|
Radians |
|
Cosines |
1 |
|
0.017453 |
|
0.999847 |
|
|
181 |
|
3.159045 |
|
-0.999847 |
2 |
|
0.034906 |
|
0.999390 |
|
|
182 |
|
3.176499 |
|
-0.999390 |
3 |
|
0.052359 |
|
0.998629 |
|
|
183 |
|
3.193952 |
|
-0.998629 |
4 |
|
0.069813 |
|
0.997564 |
|
|
184 |
|
3.211405 |
|
-0.997564 |
5 |
|
0.087266 |
|
0.996194 |
|
|
185 |
|
3.228859 |
|
-0.996194 |
6 |
|
0.104719 |
|
0.994521 |
|
|
186 |
|
3.246312 |
|
-0.994521 |
7 |
|
0.122173 |
|
0.992546 |
|
|
187 |
|
3.263765 |
|
-0.992546 |
8 |
|
0.139626 |
|
0.990268 |
|
|
188 |
|
3.281218 |
|
-0.990268 |
9 |
|
0.157079 |
|
0.987688 |
|
|
189 |
|
3.298672 |
|
-0.987688 |
10 |
|
0.174532 |
|
0.984807 |
|
|
190 |
|
3.316125 |
|
-0.984807 |
11 |
|
0.191986 |
|
0.981627 |
|
|
191 |
|
3.333578 |
|
-0.981627 |
12 |
|
0.209439 |
|
0.978147 |
|
|
192 |
|
3.351032 |
|
-0.978147 |
13 |
|
0.226892 |
|
0.974370 |
|
|
193 |
|
3.368485 |
|
-0.974370 |
14 |
|
0.244346 |
|
0.970295 |
|
|
194 |
|
3.385938 |
|
-0.970295 |
15 |
|
0.261799 |
|
0.965925 |
|
|
195 |
|
3.403392 |
|
-0.965925 |
16 |
|
0.279252 |
|
0.961261 |
|
|
196 |
|
3.420845 |
|
-0.961261 |
17 |
|
0.296705 |
|
0.956304 |
|
|
197 |
|
3.438298 |
|
-0.956304 |
18 |
|
0.314159 |
|
0.951056 |
|
|
198 |
|
3.455751 |
|
-0.951056 |
19 |
|
0.331612 |
|
0.945518 |
|
|
199 |
|
3.473205 |
|
-0.945518 |
20 |
|
0.349065 |
|
0.939692 |
|
|
200 |
|
3.490658 |
|
-0.939692 |
21 |
|
0.366519 |
|
0.933580 |
|
|
201 |
|
3.508111 |
|
-0.933580 |
22 |
|
0.383972 |
|
0.927183 |
|
|
202 |
|
3.525565 |
|
-0.927183 |
23 |
|
0.401425 |
|
0.920504 |
|
|
203 |
|
3.543018 |
|
-0.920504 |
24 |
|
0.418879 |
|
0.913545 |
|
|
204 |
|
3.560471 |
|
-0.913545 |
25 |
|
0.436332 |
|
0.906307 |
|
|
205 |
|
3.577924 |
|
-0.906307 |
26 |
|
0.453785 |
|
0.898794 |
|
|
206 |
|
3.595378 |
|
-0.898794 |
27 |
|
0.471238 |
|
0.891006 |
|
|
207 |
|
3.612831 |
|
-0.891006 |
28 |
|
0.488692 |
|
0.882947 |
|
|
208 |
|
3.630284 |
|
-0.882947 |
29 |
|
0.506145 |
|
0.874619 |
|
|
209 |
|
3.647738 |
|
-0.874619 |
30 |
|
0.523598 |
|
0.866025 |
|
|
210 |
|
3.665191 |
|
-0.866025 |
31 |
|
0.541052 |
|
0.857167 |
|
|
211 |
|
3.682644 |
|
-0.857167 |
32 |
|
0.558505 |
|
0.848048 |
|
|
212 |
|
3.700098 |
|
-0.848048 |
33 |
|
0.575958 |
|
0.838670 |
|
|
213 |
|
3.717551 |
|
-0.838670 |
34 |
|
0.593411 |
|
0.829037 |
|
|
214 |
|
3.735004 |
|
-0.829037 |
35 |
|
0.610865 |
|
0.819152 |
|
|
215 |
|
3.752457 |
|
-0.819152 |
36 |
|
0.628318 |
|
0.809016 |
|
|
216 |
|
3.769911 |
|
-0.809016 |
37 |
|
0.645771 |
|
0.798635 |
|
|
217 |
|
3.787364 |
|
-0.798635 |
38 |
|
0.663225 |
|
0.788010 |
|
|
218 |
|
3.804817 |
|
-0.788010 |
39 |
|
0.680678 |
|
0.777145 |
|
|
219 |
|
3.822271 |
|
-0.777145 |
40 |
|
0.698131 |
|
0.766044 |
|
|
220 |
|
3.839724 |
|
-0.766044 |
41 |
|
0.715584 |
|
0.754709 |
|
|
221 |
|
3.857177 |
|
-0.754709 |
42 |
|
0.733038 |
|
0.743144 |
|
|
222 |
|
3.874630 |
|
-0.743144 |
43 |
|
0.750491 |
|
0.731353 |
|
|
223 |
|
3.892084 |
|
-0.731353 |
44 |
|
0.767944 |
|
0.719339 |
|
|
224 |
|
3.909537 |
|
-0.719339 |
45 |
|
0.785398 |
|
0.707106 |
|
|
225 |
|
3.926990 |
|
-0.707106 |
46 |
|
0.802851 |
|
0.694658 |
|
|
226 |
|
3.944444 |
|
-0.694658 |
47 |
|
0.820304 |
|
0.681998 |
|
|
227 |
|
3.961897 |
|
-0.681998 |
48 |
|
0.837758 |
|
0.669130 |
|
|
228 |
|
3.979350 |
|
-0.669130 |
49 |
|
0.855211 |
|
0.656059 |
|
|
229 |
|
3.996803 |
|
-0.656059 |
50 |
|
0.872664 |
|
0.642787 |
|
|
230 |
|
4.014257 |
|
-0.642787 |
51 |
|
0.890117 |
|
0.629320 |
|
|
231 |
|
4.031710 |
|
-0.629320 |
52 |
|
0.907571 |
|
0.615661 |
|
|
232 |
|
4.049163 |
|
-0.615661 |
53 |
|
0.925024 |
|
0.601815 |
|
|
233 |
|
4.066617 |
|
-0.601815 |
54 |
|
0.942477 |
|
0.587785 |
|
|
234 |
|
4.084070 |
|
-0.587785 |
55 |
|
0.959931 |
|
0.573576 |
|
|
235 |
|
4.101523 |
|
-0.573576 |
56 |
|
0.977384 |
|
0.559192 |
|
|
236 |
|
4.118977 |
|
-0.559192 |
57 |
|
0.994837 |
|
0.544639 |
|
|
237 |
|
4.136430 |
|
-0.544639 |
58 |
|
1.012290 |
|
0.529919 |
|
|
238 |
|
4.153883 |
|
-0.529919 |
59 |
|
1.029744 |
|
0.515038 |
|
|
239 |
|
4.171336 |
|
-0.515038 |
60 |
|
1.047197 |
|
0.5 |
|
|
240 |
|
4.188790 |
|
-0.5 |
61 |
|
1.064650 |
|
0.484809 |
|
|
241 |
|
4.206243 |
|
-0.484809 |
62 |
|
1.082104 |
|
0.469471 |
|
|
242 |
|
4.223696 |
|
-0.469471 |
63 |
|
1.099557 |
|
0.453990 |
|
|
243 |
|
4.241150 |
|
-0.453990 |
64 |
|
1.117010 |
|
0.438371 |
|
|
244 |
|
4.258603 |
|
-0.438371 |
65 |
|
1.134464 |
|
0.422618 |
|
|
245 |
|
4.276056 |
|
-0.422618 |
66 |
|
1.151917 |
|
0.406736 |
|
|
246 |
|
4.293509 |
|
-0.406736 |
67 |
|
1.169370 |
|
0.390731 |
|
|
247 |
|
4.310963 |
|
-0.390731 |
68 |
|
1.186823 |
|
0.374606 |
|
|
248 |
|
4.328416 |
|
-0.374606 |
69 |
|
1.204277 |
|
0.358367 |
|
|
249 |
|
4.345869 |
|
-0.358367 |
70 |
|
1.221730 |
|
0.342020 |
|
|
250 |
|
4.363323 |
|
-0.342020 |
71 |
|
1.239183 |
|
0.325568 |
|
|
251 |
|
4.380776 |
|
-0.325568 |
72 |
|
1.256637 |
|
0.309016 |
|
|
252 |
|
4.398229 |
|
-0.309016 |
73 |
|
1.274090 |
|
0.292371 |
|
|
253 |
|
4.415683 |
|
-0.292371 |
74 |
|
1.291543 |
|
0.275637 |
|
|
254 |
|
4.433136 |
|
-0.275637 |
75 |
|
1.308996 |
|
0.258819 |
|
|
255 |
|
4.450589 |
|
-0.258819 |
76 |
|
1.326450 |
|
0.241921 |
|
|
256 |
|
4.468042 |
|
-0.241921 |
77 |
|
1.343903 |
|
0.224951 |
|
|
257 |
|
4.485496 |
|
-0.224951 |
78 |
|
1.361356 |
|
0.207911 |
|
|
258 |
|
4.502949 |
|
-0.207911 |
79 |
|
1.378810 |
|
0.190808 |
|
|
259 |
|
4.520402 |
|
-0.190808 |
80 |
|
1.396263 |
|
0.173648 |
|
|
260 |
|
4.537856 |
|
-0.173648 |
81 |
|
1.413716 |
|
0.156434 |
|
|
261 |
|
4.555309 |
|
-0.156434 |
82 |
|
1.431169 |
|
0.139173 |
|
|
262 |
|
4.572762 |
|
-0.139173 |
83 |
|
1.448623 |
|
0.121869 |
|
|
263 |
|
4.590215 |
|
-0.121869 |
84 |
|
1.466076 |
|
0.104528 |
|
|
264 |
|
4.607669 |
|
-0.104528 |
85 |
|
1.483529 |
|
0.087155 |
|
|
265 |
|
4.625122 |
|
-0.087155 |
86 |
|
1.500983 |
|
0.069756 |
|
|
266 |
|
4.642575 |
|
-0.069756 |
87 |
|
1.518436 |
|
0.052335 |
|
|
267 |
|
4.660029 |
|
-0.052335 |
88 |
|
1.535889 |
|
0.034899 |
|
|
268 |
|
4.677482 |
|
-0.034899 |
89 |
|
1.553343 |
|
0.017452 |
|
|
269 |
|
4.694935 |
|
-0.017452 |
90 |
|
1.570796 |
|
0 |
|
|
270 |
|
4.712388 |
|
0 |
91 |
|
1.588249 |
|
-0.017452 |
|
|
271 |
|
4.729842 |
|
0.017452 |
92 |
|
1.605702 |
|
-0.034899 |
|
|
272 |
|
4.747295 |
|
0.034899 |
93 |
|
1.623156 |
|
-0.052335 |
|
|
273 |
|
4.764748 |
|
0.052335 |
94 |
|
1.640609 |
|
-0.069756 |
|
|
274 |
|
4.782202 |
|
0.069756 |
95 |
|
1.658062 |
|
-0.087155 |
|
|
275 |
|
4.799655 |
|
0.087155 |
96 |
|
1.675516 |
|
-0.104528 |
|
|
276 |
|
4.817108 |
|
0.104528 |
97 |
|
1.692969 |
|
-0.121869 |
|
|
277 |
|
4.834562 |
|
0.121869 |
98 |
|
1.710422 |
|
-0.139173 |
|
|
278 |
|
4.852015 |
|
0.139173 |
99 |
|
1.727875 |
|
-0.156434 |
|
|
279 |
|
4.869468 |
|
0.156434 |
100 |
|
1.745329 |
|
-0.173648 |
|
|
280 |
|
4.886921 |
|
0.173648 |
101 |
|
1.762782 |
|
-0.190808 |
|
|
281 |
|
4.904375 |
|
0.190808 |
102 |
|
1.780235 |
|
-0.207911 |
|
|
282 |
|
4.921828 |
|
0.207911 |
103 |
|
1.797689 |
|
-0.224951 |
|
|
283 |
|
4.939281 |
|
0.224951 |
104 |
|
1.815142 |
|
-0.241921 |
|
|
284 |
|
4.956735 |
|
0.241921 |
105 |
|
1.832595 |
|
-0.258819 |
|
|
285 |
|
4.974188 |
|
0.258819 |
106 |
|
1.850049 |
|
-0.275637 |
|
|
286 |
|
4.991641 |
|
0.275637 |
107 |
|
1.867502 |
|
-0.292371 |
|
|
287 |
|
5.009094 |
|
0.292371 |
108 |
|
1.884955 |
|
-0.309016 |
|
|
288 |
|
5.026548 |
|
0.309016 |
109 |
|
1.902408 |
|
-0.325568 |
|
|
289 |
|
5.044001 |
|
0.325568 |
110 |
|
1.919862 |
|
-0.342020 |
|
|
290 |
|
5.061454 |
|
0.342020 |
111 |
|
1.937315 |
|
-0.358367 |
|
|
291 |
|
5.078908 |
|
0.358367 |
112 |
|
1.954768 |
|
-0.374606 |
|
|
292 |
|
5.096361 |
|
0.374606 |
113 |
|
1.972222 |
|
-0.390731 |
|
|
293 |
|
5.113814 |
|
0.390731 |
114 |
|
1.989675 |
|
-0.406736 |
|
|
294 |
|
5.131268 |
|
0.406736 |
115 |
|
2.007128 |
|
-0.422618 |
|
|
295 |
|
5.148721 |
|
0.422618 |
116 |
|
2.024581 |
|
-0.438371 |
|
|
296 |
|
5.166174 |
|
0.438371 |
117 |
|
2.042035 |
|
-0.453990 |
|
|
297 |
|
5.183627 |
|
0.453990 |
118 |
|
2.059488 |
|
-0.469471 |
|
|
298 |
|
5.201081 |
|
0.469471 |
119 |
|
2.076941 |
|
-0.484809 |
|
|
299 |
|
5.218534 |
|
0.484809 |
120 |
|
2.094395 |
|
-0.5 |
|
|
300 |
|
5.235987 |
|
0.5 |
121 |
|
2.111848 |
|
-0.515038 |
|
|
301 |
|
5.253441 |
|
0.515038 |
122 |
|
2.129301 |
|
-0.529919 |
|
|
302 |
|
5.270894 |
|
0.529919 |
123 |
|
2.146754 |
|
-0.544639 |
|
|
303 |
|
5.288347 |
|
0.544639 |
124 |
|
2.164208 |
|
-0.559192 |
|
|
304 |
|
5.305800 |
|
0.559192 |
125 |
|
2.181661 |
|
-0.573576 |
|
|
305 |
|
5.323254 |
|
0.573576 |
126 |
|
2.199114 |
|
-0.587785 |
|
|
306 |
|
5.340707 |
|
0.587785 |
127 |
|
2.216568 |
|
-0.601815 |
|
|
307 |
|
5.358160 |
|
0.601815 |
128 |
|
2.234021 |
|
-0.615661 |
|
|
308 |
|
5.375614 |
|
0.615661 |
129 |
|
2.251474 |
|
-0.629320 |
|
|
309 |
|
5.393067 |
|
0.629320 |
130 |
|
2.268928 |
|
-0.642787 |
|
|
310 |
|
5.410520 |
|
0.642787 |
131 |
|
2.286381 |
|
-0.656059 |
|
|
311 |
|
5.427973 |
|
0.656059 |
132 |
|
2.303834 |
|
-0.669130 |
|
|
312 |
|
5.445427 |
|
0.669130 |
133 |
|
2.321287 |
|
-0.681998 |
|
|
313 |
|
5.462880 |
|
0.681998 |
134 |
|
2.338741 |
|
-0.694658 |
|
|
314 |
|
5.480333 |
|
0.694658 |
135 |
|
2.356194 |
|
-0.707106 |
|
|
315 |
|
5.497787 |
|
0.707106 |
136 |
|
2.373647 |
|
-0.719339 |
|
|
316 |
|
5.515240 |
|
0.719339 |
137 |
|
2.391101 |
|
-0.731353 |
|
|
317 |
|
5.532693 |
|
0.731353 |
138 |
|
2.408554 |
|
-0.743144 |
|
|
318 |
|
5.550147 |
|
0.743144 |
139 |
|
2.426007 |
|
-0.754709 |
|
|
319 |
|
5.567600 |
|
0.754709 |
140 |
|
2.443460 |
|
-0.766044 |
|
|
320 |
|
5.585053 |
|
0.766044 |
141 |
|
2.460914 |
|
-0.777145 |
|
|
321 |
|
5.602506 |
|
0.777145 |
142 |
|
2.478367 |
|
-0.788010 |
|
|
322 |
|
5.619960 |
|
0.788010 |
143 |
|
2.495820 |
|
-0.798635 |
|
|
323 |
|
5.637413 |
|
0.798635 |
144 |
|
2.513274 |
|
-0.809016 |
|
|
324 |
|
5.654866 |
|
0.809016 |
145 |
|
2.530727 |
|
-0.819152 |
|
|
325 |
|
5.672320 |
|
0.819152 |
146 |
|
2.548180 |
|
-0.829037 |
|
|
326 |
|
5.689773 |
|
0.829037 |
147 |
|
2.565634 |
|
-0.838670 |
|
|
327 |
|
5.707226 |
|
0.838670 |
148 |
|
2.583087 |
|
-0.848048 |
|
|
328 |
|
5.724679 |
|
0.848048 |
149 |
|
2.600540 |
|
-0.857167 |
|
|
329 |
|
5.742133 |
|
0.857167 |
150 |
|
2.617993 |
|
-0.866025 |
|
|
330 |
|
5.759586 |
|
0.866025 |
151 |
|
2.635447 |
|
-0.874619 |
|
|
331 |
|
5.777039 |
|
0.874619 |
152 |
|
2.652900 |
|
-0.882947 |
|
|
332 |
|
5.794493 |
|
0.882947 |
153 |
|
2.670353 |
|
-0.891006 |
|
|
333 |
|
5.811946 |
|
0.891006 |
154 |
|
2.687807 |
|
-0.898794 |
|
|
334 |
|
5.829399 |
|
0.898794 |
155 |
|
2.705260 |
|
-0.906307 |
|
|
335 |
|
5.846852 |
|
0.906307 |
156 |
|
2.722713 |
|
-0.913545 |
|
|
336 |
|
5.864306 |
|
0.913545 |
157 |
|
2.740166 |
|
-0.920504 |
|
|
337 |
|
5.881759 |
|
0.920504 |
158 |
|
2.757620 |
|
-0.927183 |
|
|
338 |
|
5.899212 |
|
0.927183 |
159 |
|
2.775073 |
|
-0.933580 |
|
|
339 |
|
5.916666 |
|
0.933580 |
160 |
|
2.792526 |
|
-0.939692 |
|
|
340 |
|
5.934119 |
|
0.939692 |
161 |
|
2.809980 |
|
-0.945518 |
|
|
341 |
|
5.951572 |
|
0.945518 |
162 |
|
2.827433 |
|
-0.951056 |
|
|
342 |
|
5.969026 |
|
0.951056 |
163 |
|
2.844886 |
|
-0.956304 |
|
|
343 |
|
5.986479 |
|
0.956304 |
164 |
|
2.862339 |
|
-0.961261 |
|
|
344 |
|
6.003932 |
|
0.961261 |
165 |
|
2.879793 |
|
-0.965925 |
|
|
345 |
|
6.021385 |
|
0.965925 |
166 |
|
2.897246 |
|
-0.970295 |
|
|
346 |
|
6.038839 |
|
0.970295 |
167 |
|
2.914699 |
|
-0.974370 |
|
|
347 |
|
6.056292 |
|
0.974370 |
168 |
|
2.932153 |
|
-0.978147 |
|
|
348 |
|
6.073745 |
|
0.978147 |
169 |
|
2.949606 |
|
-0.981627 |
|
|
349 |
|
6.091199 |
|
0.981627 |
170 |
|
2.967059 |
|
-0.984807 |
|
|
350 |
|
6.108652 |
|
0.984807 |
171 |
|
2.984513 |
|
-0.987688 |
|
|
351 |
|
6.126105 |
|
0.987688 |
172 |
|
3.001966 |
|
-0.990268 |
|
|
352 |
|
6.143558 |
|
0.990268 |
173 |
|
3.019419 |
|
-0.992546 |
|
|
353 |
|
6.161012 |
|
0.992546 |
174 |
|
3.036872 |
|
-0.994521 |
|
|
354 |
|
6.178465 |
|
0.994521 |
175 |
|
3.054326 |
|
-0.996194 |
|
|
355 |
|
6.195918 |
|
0.996194 |
176 |
|
3.071779 |
|
-0.997564 |
|
|
356 |
|
6.213372 |
|
0.997564 |
177 |
|
3.089232 |
|
-0.998629 |
|
|
357 |
|
6.230825 |
|
0.998629 |
178 |
|
3.106686 |
|
-0.999390 |
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|
358 |
|
6.248278 |
|
0.999390 |
179 |
|
3.124139 |
|
-0.999847 |
|
|
359 |
|
6.265732 |
|
0.999847 |
180 |
|
3.141592 |
|
-1 |
|
|
360 |
|
6.283185 |
|
1 |