いちばんやさしいゲームの作り方

文系の人でも、数理学がわからない人でもゲームプログラミングをマスターできるブログ

sin と cos の値とラジアンの対応表を作りました。

新たな法則を発見するもよし、数式のイメージを具現化するもよし。

角度 ラジアン sinθ cosθ
0 0 0 1
1 0.0174532925199433 0.01745241 0.9998477
2 0.0349065850398866 0.0348995 0.99939083
3 0.0523598775598299 0.05233596 0.99862953
4 0.0698131700797732 0.06975647 0.99756405
5 0.0872664625997165 0.08715574 0.9961947
6 0.10471975511966 0.10452846 0.9945219
7 0.122173047639603 0.12186934 0.99254615
8 0.139626340159546 0.1391731 0.99026807
9 0.15707963267949 0.15643447 0.98768834
10 0.174532925199433 0.17364818 0.98480775
11 0.191986217719376 0.190809 0.98162718
12 0.20943951023932 0.20791169 0.9781476
13 0.226892802759263 0.22495105 0.97437006
14 0.244346095279206 0.2419219 0.97029573
15 0.261799387799149 0.25881905 0.96592583
16 0.279252680319093 0.27563736 0.9612617
17 0.296705972839036 0.2923717 0.95630476
18 0.314159265358979 0.30901699 0.95105652
19 0.331612557878923 0.32556815 0.94551858
20 0.349065850398866 0.34202014 0.93969262
21 0.366519142918809 0.35836795 0.93358043
22 0.383972435438752 0.37460659 0.92718385
23 0.401425727958696 0.39073113 0.92050485
24 0.418879020478639 0.40673664 0.91354546
25 0.436332312998582 0.42261826 0.90630779
26 0.453785605518526 0.43837115 0.89879405
27 0.471238898038469 0.4539905 0.89100652
28 0.488692190558412 0.46947156 0.88294759
29 0.506145483078356 0.48480962 0.87461971
30 0.523598775598299 0.5 0.8660254
31 0.541052068118242 0.51503807 0.8571673
32 0.558505360638185 0.52991926 0.8480481
33 0.575958653158129 0.54463904 0.83867057
34 0.593411945678072 0.5591929 0.82903757
35 0.610865238198015 0.57357644 0.81915204
36 0.628318530717959 0.58778525 0.80901699
37 0.645771823237902 0.60181502 0.79863551
38 0.663225115757845 0.61566148 0.78801075
39 0.680678408277788 0.62932039 0.77714596
40 0.698131700797732 0.64278761 0.76604444
41 0.715584993317675 0.65605903 0.75470958
42 0.733038285837618 0.66913061 0.74314483
43 0.750491578357562 0.68199836 0.7313537
44 0.767944870877505 0.69465837 0.7193398
45 0.785398163397448 0.70710678 0.70710678
46 0.802851455917392 0.7193398 0.69465837
47 0.820304748437335 0.7313537 0.68199836
48 0.837758040957278 0.74314483 0.66913061
49 0.855211333477221 0.75470958 0.65605903
50 0.872664625997165 0.76604444 0.64278761
51 0.890117918517108 0.77714596 0.62932039
52 0.907571211037051 0.78801075 0.61566148
53 0.925024503556995 0.79863551 0.60181502
54 0.942477796076938 0.80901699 0.58778525
55 0.959931088596881 0.81915204 0.57357644
56 0.977384381116825 0.82903757 0.5591929
57 0.994837673636768 0.83867057 0.54463904
58 1.01229096615671 0.8480481 0.52991926
59 1.02974425867665 0.8571673 0.51503807
60 1.0471975511966 0.8660254 0.5
61 1.06465084371654 0.87461971 0.48480962
62 1.08210413623648 0.88294759 0.46947156
63 1.09955742875643 0.89100652 0.4539905
64 1.11701072127637 0.89879405 0.43837115
65 1.13446401379631 0.90630779 0.42261826
66 1.15191730631626 0.91354546 0.40673664
67 1.1693705988362 0.92050485 0.39073113
68 1.18682389135614 0.92718385 0.37460659
69 1.20427718387609 0.93358043 0.35836795
70 1.22173047639603 0.93969262 0.34202014
71 1.23918376891597 0.94551858 0.32556815
72 1.25663706143592 0.95105652 0.30901699
73 1.27409035395586 0.95630476 0.2923717
74 1.2915436464758 0.9612617 0.27563736
75 1.30899693899575 0.96592583 0.25881905
76 1.32645023151569 0.97029573 0.2419219
77 1.34390352403563 0.97437006 0.22495105
78 1.36135681655558 0.9781476 0.20791169
79 1.37881010907552 0.98162718 0.190809
80 1.39626340159546 0.98480775 0.17364818
81 1.41371669411541 0.98768834 0.15643447
82 1.43116998663535 0.99026807 0.1391731
83 1.44862327915529 0.99254615 0.12186934
84 1.46607657167524 0.9945219 0.10452846
85 1.48352986419518 0.9961947 0.08715574
86 1.50098315671512 0.99756405 0.06975647
87 1.51843644923507 0.99862953 0.05233596
88 1.53588974175501 0.99939083 0.0348995
89 1.55334303427495 0.9998477 0.01745241
90 1.5707963267949 1 0
91 1.58824961931484 0.9998477 -0.01745241
92 1.60570291183478 0.99939083 -0.0348995
93 1.62315620435473 0.99862953 -0.05233596
94 1.64060949687467 0.99756405 -0.06975647
95 1.65806278939461 0.9961947 -0.08715574
96 1.67551608191456 0.9945219 -0.10452846
97 1.6929693744345 0.99254615 -0.12186934
98 1.71042266695444 0.99026807 -0.1391731
99 1.72787595947439 0.98768834 -0.15643447
100 1.74532925199433 0.98480775 -0.17364818
101 1.76278254451427 0.98162718 -0.190809
102 1.78023583703422 0.9781476 -0.20791169
103 1.79768912955416 0.97437006 -0.22495105
104 1.8151424220741 0.97029573 -0.2419219
105 1.83259571459405 0.96592583 -0.25881905
106 1.85004900711399 0.9612617 -0.27563736
107 1.86750229963393 0.95630476 -0.2923717
108 1.88495559215388 0.95105652 -0.30901699
109 1.90240888467382 0.94551858 -0.32556815
110 1.91986217719376 0.93969262 -0.34202014
111 1.93731546971371 0.93358043 -0.35836795
112 1.95476876223365 0.92718385 -0.37460659
113 1.97222205475359 0.92050485 -0.39073113
114 1.98967534727354 0.91354546 -0.40673664
115 2.00712863979348 0.90630779 -0.42261826
116 2.02458193231342 0.89879405 -0.43837115
117 2.04203522483337 0.89100652 -0.4539905
118 2.05948851735331 0.88294759 -0.46947156
119 2.07694180987325 0.87461971 -0.48480962
120 2.0943951023932 0.8660254 -0.5
121 2.11184839491314 0.8571673 -0.51503807
122 2.12930168743308 0.8480481 -0.52991926
123 2.14675497995303 0.83867057 -0.54463904
124 2.16420827247297 0.82903757 -0.5591929
125 2.18166156499291 0.81915204 -0.57357644
126 2.19911485751286 0.80901699 -0.58778525
127 2.2165681500328 0.79863551 -0.60181502
128 2.23402144255274 0.78801075 -0.61566148
129 2.25147473507268 0.77714596 -0.62932039
130 2.26892802759263 0.76604444 -0.64278761
131 2.28638132011257 0.75470958 -0.65605903
132 2.30383461263252 0.74314483 -0.66913061
133 2.32128790515246 0.7313537 -0.68199836
134 2.3387411976724 0.7193398 -0.69465837
135 2.35619449019234 0.70710678 -0.70710678
136 2.37364778271229 0.69465837 -0.7193398
137 2.39110107523223 0.68199836 -0.7313537
138 2.40855436775217 0.66913061 -0.74314483
139 2.42600766027212 0.65605903 -0.75470958
140 2.44346095279206 0.64278761 -0.76604444
141 2.460914245312 0.62932039 -0.77714596
142 2.47836753783195 0.61566148 -0.78801075
143 2.49582083035189 0.60181502 -0.79863551
144 2.51327412287183 0.58778525 -0.80901699
145 2.53072741539178 0.57357644 -0.81915204
146 2.54818070791172 0.5591929 -0.82903757
147 2.56563400043166 0.54463904 -0.83867057
148 2.58308729295161 0.52991926 -0.8480481
149 2.60054058547155 0.51503807 -0.8571673
150 2.61799387799149 0.5 -0.8660254
151 2.63544717051144 0.48480962 -0.87461971
152 2.65290046303138 0.46947156 -0.88294759
153 2.67035375555132 0.4539905 -0.89100652
154 2.68780704807127 0.43837115 -0.89879405
155 2.70526034059121 0.42261826 -0.90630779
156 2.72271363311115 0.40673664 -0.91354546
157 2.7401669256311 0.39073113 -0.92050485
158 2.75762021815104 0.37460659 -0.92718385
159 2.77507351067098 0.35836795 -0.93358043
160 2.79252680319093 0.34202014 -0.93969262
161 2.80998009571087 0.32556815 -0.94551858
162 2.82743338823081 0.30901699 -0.95105652
163 2.84488668075076 0.2923717 -0.95630476
164 2.8623399732707 0.27563736 -0.9612617
165 2.87979326579064 0.25881905 -0.96592583
166 2.89724655831059 0.2419219 -0.97029573
167 2.91469985083053 0.22495105 -0.97437006
168 2.93215314335047 0.20791169 -0.9781476
169 2.94960643587042 0.190809 -0.98162718
170 2.96705972839036 0.17364818 -0.98480775
171 2.9845130209103 0.15643447 -0.98768834
172 3.00196631343025 0.1391731 -0.99026807
173 3.01941960595019 0.12186934 -0.99254615
174 3.03687289847013 0.10452846 -0.9945219
175 3.05432619099008 0.08715574 -0.9961947
176 3.07177948351002 0.06975647 -0.99756405
177 3.08923277602996 0.05233596 -0.99862953
178 3.10668606854991 0.0348995 -0.99939083
179 3.12413936106985 0.01745241 -0.9998477
180 3.14159265358979 0 -1
181 3.15904594610974 -0.01745241 -0.9998477
182 3.17649923862968 -0.0348995 -0.99939083
183 3.19395253114962 -0.05233596 -0.99862953
184 3.21140582366957 -0.06975647 -0.99756405
185 3.22885911618951 -0.08715574 -0.9961947
186 3.24631240870945 -0.10452846 -0.9945219
187 3.2637657012294 -0.12186934 -0.99254615
188 3.28121899374934 -0.1391731 -0.99026807
189 3.29867228626928 -0.15643447 -0.98768834
190 3.31612557878923 -0.17364818 -0.98480775
191 3.33357887130917 -0.190809 -0.98162718
192 3.35103216382911 -0.20791169 -0.9781476
193 3.36848545634906 -0.22495105 -0.97437006
194 3.385938748869 -0.2419219 -0.97029573
195 3.40339204138894 -0.25881905 -0.96592583
196 3.42084533390889 -0.27563736 -0.9612617
197 3.43829862642883 -0.2923717 -0.95630476
198 3.45575191894877 -0.30901699 -0.95105652
199 3.47320521146872 -0.32556815 -0.94551858
200 3.49065850398866 -0.34202014 -0.93969262
201 3.5081117965086 -0.35836795 -0.93358043
202 3.52556508902855 -0.37460659 -0.92718385
203 3.54301838154849 -0.39073113 -0.92050485
204 3.56047167406843 -0.40673664 -0.91354546
205 3.57792496658838 -0.42261826 -0.90630779
206 3.59537825910832 -0.43837115 -0.89879405
207 3.61283155162826 -0.4539905 -0.89100652
208 3.63028484414821 -0.46947156 -0.88294759
209 3.64773813666815 -0.48480962 -0.87461971
210 3.66519142918809 -0.5 -0.8660254
211 3.68264472170804 -0.51503807 -0.8571673
212 3.70009801422798 -0.52991926 -0.8480481
213 3.71755130674792 -0.54463904 -0.83867057
214 3.73500459926787 -0.5591929 -0.82903757
215 3.75245789178781 -0.57357644 -0.81915204
216 3.76991118430775 -0.58778525 -0.80901699
217 3.7873644768277 -0.60181502 -0.79863551
218 3.80481776934764 -0.61566148 -0.78801075
219 3.82227106186758 -0.62932039 -0.77714596
220 3.83972435438753 -0.64278761 -0.76604444
221 3.85717764690747 -0.65605903 -0.75470958
222 3.87463093942741 -0.66913061 -0.74314483
223 3.89208423194735 -0.68199836 -0.7313537
224 3.9095375244673 -0.69465837 -0.7193398
225 3.92699081698724 -0.70710678 -0.70710678
226 3.94444410950718 -0.7193398 -0.69465837
227 3.96189740202713 -0.7313537 -0.68199836
228 3.97935069454707 -0.74314483 -0.66913061
229 3.99680398706701 -0.75470958 -0.65605903
230 4.01425727958696 -0.76604444 -0.64278761
231 4.0317105721069 -0.77714596 -0.62932039
232 4.04916386462684 -0.78801075 -0.61566148
233 4.06661715714679 -0.79863551 -0.60181502
234 4.08407044966673 -0.80901699 -0.58778525
235 4.10152374218667 -0.81915204 -0.57357644
236 4.11897703470662 -0.82903757 -0.5591929
237 4.13643032722656 -0.83867057 -0.54463904
238 4.1538836197465 -0.8480481 -0.52991926
239 4.17133691226645 -0.8571673 -0.51503807
240 4.18879020478639 -0.8660254 -0.5
241 4.20624349730633 -0.87461971 -0.48480962
242 4.22369678982628 -0.88294759 -0.46947156
243 4.24115008234622 -0.89100652 -0.4539905
244 4.25860337486616 -0.89879405 -0.43837115
245 4.27605666738611 -0.90630779 -0.42261826
246 4.29350995990605 -0.91354546 -0.40673664
247 4.31096325242599 -0.92050485 -0.39073113
248 4.32841654494594 -0.92718385 -0.37460659
249 4.34586983746588 -0.93358043 -0.35836795
250 4.36332312998582 -0.93969262 -0.34202014
251 4.38077642250577 -0.94551858 -0.32556815
252 4.39822971502571 -0.95105652 -0.30901699
253 4.41568300754565 -0.95630476 -0.2923717
254 4.4331363000656 -0.9612617 -0.27563736
255 4.45058959258554 -0.96592583 -0.25881905
256 4.46804288510548 -0.97029573 -0.2419219
257 4.48549617762543 -0.97437006 -0.22495105
258 4.50294947014537 -0.9781476 -0.20791169
259 4.52040276266531 -0.98162718 -0.190809
260 4.53785605518526 -0.98480775 -0.17364818
261 4.5553093477052 -0.98768834 -0.15643447
262 4.57276264022514 -0.99026807 -0.1391731
263 4.59021593274509 -0.99254615 -0.12186934
264 4.60766922526503 -0.9945219 -0.10452846
265 4.62512251778497 -0.9961947 -0.08715574
266 4.64257581030492 -0.99756405 -0.06975647
267 4.66002910282486 -0.99862953 -0.05233596
268 4.6774823953448 -0.99939083 -0.0348995
269 4.69493568786475 -0.9998477 -0.01745241
270 4.71238898038469 -1 0
271 4.72984227290463 -0.9998477 0.01745241
272 4.74729556542458 -0.99939083 0.0348995
273 4.76474885794452 -0.99862953 0.05233596
274 4.78220215046446 -0.99756405 0.06975647
275 4.79965544298441 -0.9961947 0.08715574
276 4.81710873550435 -0.9945219 0.10452846
277 4.83456202802429 -0.99254615 0.12186934
278 4.85201532054424 -0.99026807 0.1391731
279 4.86946861306418 -0.98768834 0.15643447
280 4.88692190558412 -0.98480775 0.17364818
281 4.90437519810407 -0.98162718 0.190809
282 4.92182849062401 -0.9781476 0.20791169
283 4.93928178314395 -0.97437006 0.22495105
284 4.9567350756639 -0.97029573 0.2419219
285 4.97418836818384 -0.96592583 0.25881905
286 4.99164166070378 -0.9612617 0.27563736
287 5.00909495322373 -0.95630476 0.2923717
288 5.02654824574367 -0.95105652 0.30901699
289 5.04400153826361 -0.94551858 0.32556815
290 5.06145483078356 -0.93969262 0.34202014
291 5.0789081233035 -0.93358043 0.35836795
292 5.09636141582344 -0.92718385 0.37460659
293 5.11381470834339 -0.92050485 0.39073113
294 5.13126800086333 -0.91354546 0.40673664
295 5.14872129338327 -0.90630779 0.42261826
296 5.16617458590322 -0.89879405 0.43837115
297 5.18362787842316 -0.89100652 0.4539905
298 5.2010811709431 -0.88294759 0.46947156
299 5.21853446346305 -0.87461971 0.48480962
300 5.23598775598299 -0.8660254 0.5
301 5.25344104850293 -0.8571673 0.51503807
302 5.27089434102288 -0.8480481 0.52991926
303 5.28834763354282 -0.83867057 0.54463904
304 5.30580092606276 -0.82903757 0.5591929
305 5.32325421858271 -0.81915204 0.57357644
306 5.34070751110265 -0.80901699 0.58778525
307 5.35816080362259 -0.79863551 0.60181502
308 5.37561409614254 -0.78801075 0.61566148
309 5.39306738866248 -0.77714596 0.62932039
310 5.41052068118242 -0.76604444 0.64278761
311 5.42797397370236 -0.75470958 0.65605903
312 5.44542726622231 -0.74314483 0.66913061
313 5.46288055874225 -0.7313537 0.68199836
314 5.48033385126219 -0.7193398 0.69465837
315 5.49778714378214 -0.70710678 0.70710678
316 5.51524043630208 -0.69465837 0.7193398
317 5.53269372882203 -0.68199836 0.7313537
318 5.55014702134197 -0.66913061 0.74314483
319 5.56760031386191 -0.65605903 0.75470958
320 5.58505360638185 -0.64278761 0.76604444
321 5.6025068989018 -0.62932039 0.77714596
322 5.61996019142174 -0.61566148 0.78801075
323 5.63741348394168 -0.60181502 0.79863551
324 5.65486677646163 -0.58778525 0.80901699
325 5.67232006898157 -0.57357644 0.81915204
326 5.68977336150151 -0.5591929 0.82903757
327 5.70722665402146 -0.54463904 0.83867057
328 5.7246799465414 -0.52991926 0.8480481
329 5.74213323906134 -0.51503807 0.8571673
330 5.75958653158129 -0.5 0.8660254
331 5.77703982410123 -0.48480962 0.87461971
332 5.79449311662117 -0.46947156 0.88294759
333 5.81194640914112 -0.4539905 0.89100652
334 5.82939970166106 -0.43837115 0.89879405
335 5.846852994181 -0.42261826 0.90630779
336 5.86430628670095 -0.40673664 0.91354546
337 5.88175957922089 -0.39073113 0.92050485
338 5.89921287174083 -0.37460659 0.92718385
339 5.91666616426078 -0.35836795 0.93358043
340 5.93411945678072 -0.34202014 0.93969262
341 5.95157274930066 -0.32556815 0.94551858
342 5.96902604182061 -0.30901699 0.95105652
343 5.98647933434055 -0.2923717 0.95630476
344 6.00393262686049 -0.27563736 0.9612617
345 6.02138591938044 -0.25881905 0.96592583
346 6.03883921190038 -0.2419219 0.97029573
347 6.05629250442032 -0.22495105 0.97437006
348 6.07374579694027 -0.20791169 0.9781476
349 6.09119908946021 -0.190809 0.98162718
350 6.10865238198015 -0.17364818 0.98480775
351 6.1261056745001 -0.15643447 0.98768834
352 6.14355896702004 -0.1391731 0.99026807
353 6.16101225953998 -0.12186934 0.99254615
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717 12.5140107367993 -0.05233596 0.99862953
718 12.5314640293193 -0.0348995 0.99939083
719 12.5489173218392 -0.01745241 0.9998477
720 12.5663706143592 0 1

それらしい値を表現するために、精度を切り詰めております。ご容赦くださいませ。しかも Excel で作っておりますので、コピペは危険です!コピペは危険です!コピペは危険です!

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