{"id":2389,"date":"2011-04-18T15:23:55","date_gmt":"2011-04-18T06:23:55","guid":{"rendered":"http:\/\/r-dimension.xsrv.jp\/classes_j\/?p=2389"},"modified":"2025-05-28T14:54:34","modified_gmt":"2025-05-28T05:54:34","slug":"sine_cosine","status":"publish","type":"post","link":"https:\/\/r-dimension.xsrv.jp\/classes_j\/sine_cosine\/","title":{"rendered":"4.2\u3000\u4e09\u89d2\u95a2\u6570"},"content":{"rendered":"\n

\u3055\u3066\u3001\u30d7\u30ed\u30b0\u30e9\u30e0\u306b\u3088\u3063\u3066\u56f3\u5f62\u3092\u63cf\u304f\u5834\u5408\u306b\u907f\u3051\u3066\u901a\u308c\u306a\u3044\u306e\u304c\u4e09\u89d2\u95a2\u6570<\/strong>\uff08\u30b5\u30a4\u30f3\u3001\u30b3\u30b5\u30a4\u30f3\uff09\u3067\u3059\u3002\u5186\u306a\u3069\u306b\u4ee3\u8868\u3055\u308c\u308b\u66f2\u7dda\u3092\u63cf\u304f\u969b\u306b\u3088\u304f\u4f7f\u308f\u308c\u307e\u3059\u3002\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306f\u4f7f\u7528\u983b\u5ea6\u304c\u4f4e\u3044\u306e\u3067\u3001\u3053\u3053\u3067\u306f\u7701\u7565\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

\u591a\u5c11\u516c\u5f0f\u7684\u306a\u3082\u306e\u304c\u51fa\u3066\u304f\u308b\u304c\u3086\u3048\u306b\u82e6\u624b\u610f\u8b58\u304c\u751f\u3058\u308b\u4eba\u3082\u3044\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u304c\u3001\u51b7\u9759\u306b\u3086\u3063\u304f\u308a\u5b9f\u7fd2\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u516c\u5f0f\u306f\u899a\u3048\u306a\u304f\u3066\u3082\u4f7f\u3046\u6642\u306b\u53c2\u8003\u66f8\u3092\u78ba\u8a8d\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3001\u5b89\u5fc3\u3057\u3066\u304f\u3060\u3055\u3044\u3002
\u305d\u308c\u3067\u306f\u3001\u30b5\u30a4\u30f3\uff08sin\uff09\u3001\u30b3\u30b5\u30a4\u30f3\uff08cos\uff09\u3092\u4f7f\u3063\u3066\u66f2\u7dda\u3092\u63cf\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

4.2.1\u3000\u5186\u904b\u52d5\uff08\u6975\u5ea7\u6a19\uff09<\/h1>\n\n\n\n

\u307e\u305a\u306f\u5186\u3092\u63cf\u3044\u3066\u307f\u307e\u3059\u3002\u3082\u3061\u308d\u3093ellipse(x, y, width, height)\u3067\u3082\u5186\u304c\u63cf\u3051\u307e\u3059\u304c\u3001\u3053\u306e\u30b5\u30a4\u30f3\u3001\u30b3\u30b5\u30a4\u30f3\u306f\u5186\u3060\u3051\u3067\u306a\u304f\u69d8\u3005\u306a\u66f2\u7dda\u904b\u52d5\u306b\u4f7f\u3048\u307e\u3059\u3002<\/p>\n\n\n\n\n\n\n\n

\u3010\u56f34.2-a\u3011\u3092\u898b\u3066\u304f\u3060\u3055\u3044\u3002\u5186\u3092\u63cf\u304f\u969b\u306b\u306f\u3001\u56f3\u306e\u03b8\uff08\u30b7\u30fc\u30bf\uff09\u306e\u89d2\u5ea6\u304b\u3089x, y\u306e\u5ea7\u6a19\u3092\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\"sin_cos_01.gif\"\/<\/figure>\n\n\n\n
\u56f34.2-a<\/div>\n\n\n\n

R –> \u5186\u306e\u534a\u5f84<\/strong>
x, y –> \u5186\u4e0a\u306e\u70b9<\/strong>
\u03b8 –> \u89d2\u5ea6<\/strong><\/p>\n\n\n\n

\u3053\u3053\u3067\u3001
x = R * cos(\u03b8)<\/strong>
y = R * sin(\u03b8)<\/strong>
\u3068\u3044\u3046\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002
\u3010\u30ea\u30b9\u30c84.2-a\u3011\u304c\u3001\u5186\u904b\u52d5\u306e\u30b5\u30f3\u30d7\u30eb\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n
\u56f34.2-b<\/div>\n\n\n\n
\u30ea\u30b9\u30c84.2-a<\/div>\n\n\n\n
float x, y;  \/\/\u4e2d\u5fc3\u70b9\u306ex, y\u5ea7\u6a19\nfloat R = 100;  \/\/\u8ecc\u8de1\u3092\u63cf\u304f\u5186\u306e\u534a\u5f84\n\nsize(400, 400);  \nbackground(255);\nnoStroke();\nfill(0);\n\n\/\/\u9759\u6b62\u753b\nfor (int angle = 0; angle < 360; angle +=10) {\n\n  \/\/\u5ea6\u6570\u6cd5\u306e\u89d2\u5ea6\u3092\u5f27\u5ea6\u6cd5\u306e\u30e9\u30b8\u30a2\u30f3\u306b\u5909\u63db\n  x = R * cos(radians(angle));\n  y = -R * sin(radians(angle));    \/\/\u6570\u5b66\u306e\u5ea7\u6a19\u3068\u306fy\u65b9\u5411\u304c\u53cd\u5bfe\u306b\u306a\u308b\n  \/\/\u753b\u9762\u4e2d\u592e\u3092\u4e2d\u5fc3\u306b\u3057\u3066\u5186\u4e0a\u306b\u70b9\u3092\u63cf\u753b\n  ellipse(x + width\/2, y + height\/2, 5, 5);\n}<\/code><\/pre>\n\n\n\n
\u305d\u308c\u3067\u306f\u3001\u5186\u904b\u52d5\u306e\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306b\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\u56f34.2-c<\/div>\n\n\n\n
\u30ea\u30b9\u30c84.2-b<\/div>\n\n\n\n
float x, y;  \/\/\u4e2d\u5fc3\u70b9\u306ex, y\u5ea7\u6a19\nfloat R = 100;  \/\/\u8ecc\u8de1\u3092\u63cf\u304f\u5186\u306e\u534a\u5f84\nint angle = 0;  \/\/\u89d2\u5ea6\n\nvoid setup() {\n  \/\/\u753b\u9762\u306e\u30b5\u30a4\u30ba\u3092\u6c7a\u5b9a\n  size(400, 400); \n  noStroke();\n  fill(0);\n}\n\nvoid draw() {\n  background(255);\n\n  \/\/\u5ea6\u6570\u6cd5\u306e\u89d2\u5ea6\u3092\u5f27\u5ea6\u6cd5\u306e\u30e9\u30b8\u30a2\u30f3\u306b\u5909\u63db\n  x = R * cos(radians(angle));\n  y = -R * sin(radians(angle));    \/\/processing\u306f\u6570\u5b66\u306e\u5ea7\u6a19\u3068\u306fy\u65b9\u5411\u304c\u53cd\u5bfe\u306b\u306a\u308b\u306e\u3067\u3001-\u306b\u3059\u308b\n  ellipse(x + width\/2, y + height\/2, 10, 10);  \/\/\u753b\u9762\u4e2d\u592e\u3092\u4e2d\u5fc3\u306b\u3057\u3066\u5186\u4e0a\u306b\u70b9\u3092\u63cf\u753b\n\n  angle ++;\n  if (angle >= 360) angle = 0;  \/\/\u3082\u3057angle\u304c360\u4ee5\u4e0a\u306b\u306a\u3063\u305f\u30890\u306b\u3059\u308b\u3002\n}<\/code><\/pre>\n\n\n\n
\u6570\u5b66\u306b\u304a\u3051\u308b\u5ea7\u6a19\u3068\u306f\u9055\u3044\u3001processing\u306e\u5834\u5408\u306fy\u8ef8\u306e\u65b9\u5411\u304c\u4e0a\u304b\u3089\u4e0b\u306b\u306a\u3063\u3066\u3044\u308b\u70b9\u306b\u6c17\u3092\u3064\u3051\u307e\u3057\u3087\u3046\u3002
\u3053\u306e\u5834\u5408\u3001\u5186\u904b\u52d5\u304c0\u5ea6\u304b\u3089\u59cb\u307e\u3063\u305f\u6642\u306b\u4e0a\u65b9\u5411\u306b\u79fb\u52d5\u3055\u305b\u308b\u305f\u3081\u3001y\u5ea7\u6a19\u306e\u5024\u3092\u30de\u30a4\u30ca\u30b9\u306b\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n
4.2.2\u3000\u30e9\u30b8\u30a2\u30f3\u3092\u76f4\u63a5\u4f7f\u3046<\/h1>\n\n\n\n
\u3010\u30ea\u30b9\u30c84.2-a\u3011\u306e\u30b5\u30f3\u30d7\u30eb\u306f\u3001\u5ea6\u6570\u6cd5\u304b\u3089\u5f27\u5ea6\u6cd5\u306b\u5909\u63db\u3059\u308bradians(\uff09\u3092\u4f7f\u3044\u307e\u3057\u305f\u304c\u3001\u5b9f\u306f\u76f4\u63a5\u5f27\u5ea6\u6cd5\u3067\u66f8\u304f\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u30b3\u30fc\u30c9\u3068\u3057\u3066\u306f\u305d\u306e\u65b9\u304c\u7c21\u6f54\u3067\u3059\u3002\u307e\u305a\u3001\u30e9\u30b8\u30a2\u30f3\u3092\u7406\u89e3\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002
\u3053\u3053\u3067\u3001\u5186\u5468\u7387\uff08\u03c0\uff09\u304c\u51fa\u3066\u304d\u307e\u3059\u3002\u3053\u306e\u03c0\u306f\u3001\u76f4\u5f84\u306b\u5bfe\u3059\u308b\u5186\u5468\u306e\u6bd4\u3067\u3059\u306d\u30023.14159265…\u3067\u3059\u3002
\u305d\u3057\u3066\u3001360\u00b0 = 2\u03c0\u30e9\u30b8\u30a2\u30f3\uff08rad\uff09<\/strong>\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\u5ea6\u6570\u6cd5\u3068\u5f27\u5ea6\u6cd5\u306e\u95a2\u4fc2\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3010\u56f34.2-d\u3011\u3002<\/p>\n\n\n\n
\"%e3%83%95%e3%82%a1%e3%82%a4%e3%83%ab_000-2\"<\/a><\/figure>\n\n\n\n
\u56f34.2-d<\/div>\n\n\n\n
\u30ea\u30b9\u30c84.2-c<\/div>\n\n\n\n\n\n\n\n\t\n\t\n\t
\u5ea6\u6570\u6cd5<\/strong><\/td>0\u00b0<\/td>90\u00b0<\/td>180\u00b0<\/td>270\u00b0<\/td>360\u00b0<\/td>\n<\/tr>\n
\u5f27\u5ea6\u6cd5<\/strong><\/td>0\u03c0 rad<\/td>0.5\u03c0 rad<\/td>1\u03c0 rad<\/td>1.5\u03c0 rad<\/td>2\u03c0 rad<\/td>\n<\/tr>\n
\u6570\u5024<\/strong><\/td>0<\/td>1.5707...<\/td>3.1415...<\/td>4.7123...<\/td>6.2831...<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
\u307e\u305a\u306f\u3001360\u00b0 = 2\u03c0<\/strong>\u30e9\u30b8\u30a2\u30f3\uff08rad\uff09\u3060\u3051\u3067\u3082\u899a\u3048\u3066\u304f\u3060\u3055\u3044\u3002
\u524d\u8ff0\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u3001\u30e9\u30b8\u30a2\u30f3\u3092\u76f4\u63a5\u4f7f\u3063\u3066\u66f8\u304d\u76f4\u3059\u3068\u6b21\u306e\u30b5\u30f3\u30d7\u30eb\u306b\u306a\u308a\u307e\u3059\u30024\u884c\u76ee\u306eTWO_PI\u306f2\u03c0<\/strong>\u306e\u4e8b\u3067\u3001\u6570\u5024\u3060\u30686.2831…\u3067\u3059\u3002<\/p>\n\n\n\n
\"2016_09_26_2_31\"<\/a><\/figure>\n\n\n\n
\u56f34.2-e<\/div>\n\n\n\n
\u30ea\u30b9\u30c84.2-d<\/div>\n\n\n\n
float x, y;  \/\/\u4e2d\u5fc3\u70b9\u306ex, y\u5ea7\u6a19\nfloat R = 100;  \/\/\u8ecc\u8de1\u3092\u63cf\u304f\u5186\u306e\u534a\u5f84\nfloat theta = 0.0;  \/\/\u89d2\u5ea6\n \n\/\/10\u5ea6\u305a\u3064\u56de\u8ee2\u3059\u308b\u69d8\u306b\u30012\u03c0\u309236\u3067\u5272\u3063\u3066\u3044\u308b\u3002\nfloat rad = TWO_PI\/36.0;\n \nvoid setup() {\n  size(400, 400); \n  noStroke();\n  fill(0);  \n}\n \nvoid draw() {\n  background(255);\n \n  \/\/\u9759\u6b62\u753b\u306e\u5834\u5408\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n  for (float i = 0.0; i < TWO_PI; i += rad) {\n \n    x = R*cos(i);\n    y = -R*sin(i);    \/\/\u6570\u5b66\u306e\u5ea7\u6a19\u3068\u306fy\u65b9\u5411\u304c\u53cd\u5bfe\n    ellipse(x + width\/2, y + height\/2, 3, 3);\n  }\n \n  \/\/\u30a2\u30cb\u30e1\u30fc\u30b7\u30e7\u30f3\u306e\u5834\u5408\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n  x = R*cos(theta);\n  y = -R*sin(theta);\n  ellipse(x + width\/2, y + height\/2, 10, 10);\n \n  theta += rad;\n \n  \/\/\u3082\u3057theta\u304c2\u03c0\u4ee5\u4e0a\u306b\u306a\u3063\u305f\u30890.0\u306b\u3059\u308b\u3002\n  if (theta >= TWO_PI) theta = 0.0;\n}<\/code><\/pre>\n\n\n\n
\u3069\u3046\u3067\u3057\u3087\u3046\u304b\u3002\u5c11\u3057\u30b9\u30c3\u30ad\u30ea\u3057\u307e\u3057\u305f\u3002
\u3053\u3053\u3067\u3072\u3068\u3064\u30dd\u30a4\u30f3\u30c8\u304c\u3042\u308a\u307e\u3059\u30026\u884c\u76ee\u306b\u6ce8\u76ee\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n
\/\/6\u884c\u76ee\u300210\u5ea6\u305a\u3064\u56de\u8ee2\u3059\u308b\u69d8\u306b\u30012\u03c0\u309236\u3067\u5272\u3063\u3066\u3044\u308b\u3002\nfloat rad = TWO_PI \/ 36.0;<\/code><\/pre>\n\n\n\n
\u30fbrad = TWO_PI \/ 36.0<\/strong>\u306f\u30011\u30d5\u30ec\u30fc\u30e0\u3054\u3068\u306b\u9032\u3080\u89d2\u5ea6\u3092\u8a08\u7b97\u3057\u3066\u3044\u308b\u3082\u306e\u3067\u3059\u3002\u5ea6\u6570\u6cd5\u3060\u3068360\u00b0 \/ 36 = 10\u00b0<\/strong>\u3067\u3059\u3002<\/p>\n\n\n\n
4.2.3\u3000\u6ce2\u3068\u3057\u3066\u306e\u4e09\u89d2\u95a2\u6570<\/h1>\n\n\n\n
\u5b9f\u306f\u3001\u66f2\u7dda\u904b\u52d5\u306e\u8a18\u8ff0\u306b\u306f\u3082\u3046\u3072\u3068\u3064\u4ee3\u8868\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u3042\u308a\u307e\u3059\u3002\u524d\u8ff0\u306ex = R * cos(\u03b8), y = R * sin(\u03b8)\u3068\u8003\u3048\u65b9\u306f\u57fa\u672c\u7684\u306b\u540c\u3058\u306a\u306e\u3067\u3059\u304c\u3001\u6ce2\u3068\u3057\u3066\u8a18\u8ff0\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u30b5\u30a4\u30f3\u6ce2\uff08\u6b63\u5f26\u6ce2\uff09\u3001\u30b3\u30b5\u30a4\u30f3\u6ce2\uff08\u4f59\u5f26\u6ce2\uff09<\/strong>\u3068\u547c\u3070\u308c\u307e\u3059\u3002
\u305d\u308c\u3067\u306f\u3001\u307e\u305a\u30b5\u30a4\u30f3\u6ce2\u3092\u63cf\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u30b5\u30a4\u30f3\u6ce2\u3068\u306f\u3010\u56f34.2-e\u3011\u306e\u3088\u3046\u306a\u6ce2\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u6027\u8cea\u306e\u6ce2\u3067\u4e00\u756a\u4ee3\u8868\u7684\u306a\u3082\u306e\u306f\u300c\u97f3\u300d\u3067\u3057\u3087\u3046\u3002\u73fe\u5b9f\u306e\u97f3\u306f\u3001\u8272\u3005\u306a\u30b5\u30a4\u30f3\u6ce2\u304c\u5408\u6210\u3055\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u5206\u89e3\u3059\u308b\u3068\u3053\u306e\u3088\u3046\u306a\u5358\u7d14\u306a\u6ce2\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n
\"11_14_15__4_08_PM\"<\/a><\/figure>\n\n\n\n
\u56f34.2-f<\/div>\n\n\n\n
\u307e\u305f\u3001\u30b5\u30a4\u30f3\u6ce2\u3092\u30b3\u30fc\u30c9\u3067\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3068\u69d8\u3005\u306a\u5fdc\u7528\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u7279\u306b\u3001\u76f4\u7dda\u904b\u52d5\u306e\u307f\u306b\u6bd4\u3079\u308b\u3068\u98db\u8e8d\u7684\u306b\u81ea\u7531\u5ea6\u304c\u9ad8\u307e\u308a\u307e\u3059\u3002\u30b5\u30a4\u30f3\u6ce2\u3092\u30b3\u30fc\u30c9\u3067\u66f8\u304f\u969b\u306b\u306f\u5c11\u3057\u8a18\u8ff0\u65b9\u6cd5\u304c\u5909\u308f\u308a\u307e\u3059\u304c\u3001\u524d\u8ff0\u306e\u5186\u306e\u63cf\u753b\u3068\u57fa\u672c\u7684\u306b\u8003\u3048\u65b9\u306f\u4e00\u7dd2\u3067\u3059\u3002
x\u5ea7\u6a19\u306f\u4e00\u5b9a\u306e\u901f\u5ea6\u3067\u5909\u5316\u3057\u307e\u3059\u304c\u3001y\u5ea7\u6a19\u306f\u6b21\u306e\u5f0f\u306b\u3088\u3063\u3066\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n
y = A*sin(w*t - p)<\/code><\/pre>\n\n\n\n