{"id":3477,"date":"2025-12-24T17:18:41","date_gmt":"2025-12-24T08:18:41","guid":{"rendered":"https:\/\/math-travel.com\/?p=3477"},"modified":"2026-02-11T16:06:07","modified_gmt":"2026-02-11T07:06:07","slug":"sincostan","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-1\/sincostan\/","title":{"rendered":"\u3010\u6570\u5b66\u2160\u3011\u4e09\u89d2\u6bd4\u306e\u91cd\u8981\u5358\u5143\u30fb\u516c\u5f0f\u307e\u3068\u3081\uff01\u5b9a\u671f\u30c6\u30b9\u30c8\u5bfe\u7b56\u306b\u5f79\u7acb\u3064\u91cd\u8981\u30dd\u30a4\u30f3\u30c8"},"content":{"rendered":"\n
\u6570\u5b66\u2160\u56f3\u5f62\u3068\u8a08\u91cf\u3067\u6b20\u304b\u305b\u306a\u3044\u306e\u304c\u300e\u4e09\u89d2\u6bd4\u300f<\/span>\u3067\u3059\u3088\u306d\u3002<\/span><\/p>\n\n\n\n \u300c\u4e09\u89d2\u6bd4\u304c\u82e6\u624b\u300d <\/p>\n\n\n\n \u300c\u4e09\u89d2\u6bd4\u306e\u7dcf\u5fa9\u7fd2\u304c\u3057\u305f\u3044\u300d<\/p>\n<\/div><\/div>\n\n\n\n \u4eca\u56de\u306f\u4e09\u89d2\u6bd4\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n \u4e09\u89d2\u6bd4\u304c\u82e6\u624b\u306a\u3093\u3067\u3059\u2026<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n \u4eca\u56de\u306f\u4e09\u89d2\u6bd4\u306e\u57fa\u790e\u304c\u8a70\u307e\u3063\u305f\u300c\u5b8c\u5168\u653b\u7565\u300d\u8a18\u4e8b\u3092\u66f8\u304d\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n \u9577\u3044\u8a18\u4e8b\u3067\u3059\u304c\u3086\u3063\u304f\u308a\u8aad\u3081\u3070\u4e09\u89d2\u6bd4\u306e\u7dcf\u5fa9\u7fd2\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u307e\u305a\u306f\u300e\u4e09\u89d2\u6bd4\u300f\u306b\u304a\u3044\u3066\u78ba\u5b9f\u306b\u62bc\u3055\u3048\u305f\u3044 \u4e09\u89d2\u6bd4\u306e\u516c\u5f0f\u3092\u5927\u6025\u304e\u3067\u77e5\u308a\u305f\u3044\u65b9\u306f\u3053\u3061\u3089\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n\n\n\n \u4e09\u89d2\u6bd4(\\(\\sin,\\cos,\\tan\\)\uff09\u306e\u57fa\u672c\u516c\u5f0f\u3067\u3001\u4e09\u89d2\u6bd4\u3092\u5b66\u3093\u3067\u3044\u304f\u4e0a\u3067\u306f\u6b20\u304b\u305b\u306a\u3044\u516c\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n \uff1e\u3082\u3046\u5c11\u3057\u8a73\u3057\u304f<\/a><\/p>\n\n\n\n \u4e09\u89d2\u6bd4\u306f\\(\\sin,\\cos,\\tan\\)\u306e\u3044\u305a\u308c\u304b\u306e\u5024\u304c\u5206\u304b\u3063\u3066\u3044\u308c\u3070\u4ee5\u4e0b\u306e\u76f8\u4e92\u95a2\u4fc2\u304b\u3089\u4ed6\u306e2\u3064\u306e\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \\(\\sin^{2} \\theta+\\cos^{2} \\theta=1\\)<\/p>\n\n\n\n \\(\\displaystyle \\tan \\theta=\\frac{\\sin \\theta}{\\cos \\theta}\\)<\/p>\n\n\n\n \\(\\displaystyle 1+\\tan ^{2} \\theta=\\frac{1}{\\cos ^{2} \\theta}\\)<\/p>\n<\/div><\/div>\n\n\n\n \uff1e\u3082\u3046\u5c11\u3057\u8a73\u3057\u304f<\/a><\/p>\n\n\n\n \u6b63\u5f26\u5b9a\u7406\u306f\u5916\u63a5\u5186\u306e\u534a\u5f84\u3092\u6c42\u3081\u308b\u516c\u5f0f\u3067\u3042\u308a\u306a\u304c\u3089\u3001\u5404\u8fba\u306e\u9577\u3055\u3084\u89d2\u306e\u5927\u304d\u3055\u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u3082\u6d3b\u7528\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u25b3ABC\u306e\u5916\u63a5\u5186\u306e\u534a\u5f84\u3092R\u3068\u3059\u308b\u3068\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \\[\\displaystyle \\frac{a}{\\sin A}=\\frac{b}{\\sin B}=\\frac{c}{\\sin C}=2R\\]<\/p>\n<\/div><\/div>\n\n\n\n \uff1e\u3082\u3046\u5c11\u3057\u8a73\u3057\u304f<\/a><\/p>\n\n\n\n \u4f59\u5f26\u5b9a\u7406\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u5404\u8fba\u306e\u9577\u3055\u3084\u89d2\u306e\u5927\u304d\u3055\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u25b3ABC\u306b\u304a\u3044\u3066\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \\(a^{2}=b^{2}+c^{2}-2bc \\cos \\angle A\\)<\/p>\n\n\n\n \\(b^{2}=a^{2}+c^{2}-2ac \\cos \\angle B\\)<\/p>\n\n\n\n \\(c^{2}=a^{2}+b^{2}-2ab \\cos \\angle C\\)<\/p>\n<\/div><\/div>\n\n\n\n \uff1e\u3082\u3046\u5c11\u3057\u8a73\u3057\u304f<\/a><\/p>\n\n\n\n 2\u3064\u306e\u8fba\u306e\u9577\u3055\u3068\u305d\u306e\u9593\u306e\u89d2\u306e\u5927\u304d\u3055\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u516c\u5f0f\u3092\u7528\u3044\u3066\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \uff1e\u3082\u3046\u5c11\u3057\u8a73\u3057\u304f<\/a><\/p>\n\n\n\n \u4e0a\u3067\u7d39\u4ecb\u3057\u305f\u516c\u5f0f\u306f\u3069\u308c\u3082\u4e09\u89d2\u6bd4\u306b\u6b20\u304b\u305b\u306a\u3044\u91cd\u8981\u306a\u516c\u5f0f\u3067\u3059\u3002<\/span><\/p>\n\n\n\n \u4e09\u89d2\u6bd4\u306f\\(\\sin\\)\uff08\u30b5\u30a4\u30f3\uff09\u3084\\(\\cos\\)\uff08\u30b3\u30b5\u30a4\u30f3\uff09\u3068\u3044\u3046\u8a18\u53f7\u3092\u4f7f\u3063\u3066\u8868\u73fe\u3057\u307e\u3059\u3002<\/p>\n\n\n \u4ee5\u4e0b\u306e\u4e09\u89d2\u6bd4\u306e\u516c\u5f0f\u306f\u899a\u3048\u3066\u304a\u304b\u306a\u3044\u3068\u3001\u624b\u3082\u8db3\u3082\u51fa\u306a\u3044\u306e\u3067\u5fc5\u305a\u899a\u3048\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n\n\n\n \u4e09\u89d2\u6bd4\u306e\u516c\u5f0f\u3092\u4f7f\u3044\u3053\u306a\u305b\u308b\u3088\u3046\u306b\u5b9f\u969b\u306b\u6570\u5b57\u3092\u4ee3\u5165\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n \u3053\u306e\u3088\u3046\u306b\u3001\u659c\u8fba\u306e\u9577\u3055\u3001\\(x\\)\u5ea7\u6a19\u3001\\(y\\)\u5ea7\u6a19\u304c\u5206\u304b\u3063\u3066\u3044\u308c\u3070\u4e09\u89d2\u6bd4\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n \u307e\u305f\u3001\\(90^\\circ\\)\u3092\u8d85\u3048\u308b\u5834\u5408\u3082\u3001\u4e09\u89d2\u5f62\u3092\u30a4\u30e1\u30fc\u30b8\u3059\u308b\u3053\u3068\u3067\u4e09\u89d2\u6bd4\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n \u4e09\u89d2\u6bd4\u306e\u76f8\u4e92\u95a2\u4fc2\u306f\u91cd\u8981\u306a\u516c\u5f0f\u3067\u3059\u3002<\/span><\/p>\n\n\n\n \\(\\sin^{2} \\theta+\\cos^{2} \\theta=1\\)<\/p>\n\n\n\n \\(\\displaystyle \\tan \\theta=\\frac{\\sin \\theta}{\\cos \\theta}\\)<\/p>\n\n\n\n \\(\\displaystyle 1+\\tan ^{2} \\theta=\\frac{1}{\\cos ^{2} \\theta}\\)<\/p>\n<\/div><\/div>\n\n\n\n \u4e09\u89d2\u6bd4\u306e\u76f8\u4e92\u95a2\u4fc2\u3092\u7528\u3044\u308c\u3070\u3001sin,cos,tan\u306e\u3069\u308c\u304b1\u3064\u304c\u5206\u304b\u308c\u3070\u3001\u4ed6\u306e\u3059\u3079\u3066\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n \u4e09\u89d2\u6bd4\u306e\u76f8\u4e92\u95a2\u4fc2\u306f\u5fc5\u305a\u899a\u3048\u3088\u3046\uff01 \\(\\sin(\\theta+\\pi)\\)\u306a\u3069\u4e09\u89d2\u6bd4\u306e\u62e1\u5f35\u516c\u5f0f\u3092\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \\(-\\theta\\)\u306e\u516c\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n \\(\\theta\\)\u306b\u5bfe\u3057\u3066\\(\\displaystyle \\frac{\\pi}{2}=90\u00b0\\)\u3092\u52a0\u3048\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n \\(\\theta\\)\u306b\u5bfe\u3057\u3066\\(\\pi=180\u00b0\\)\u3092\u52a0\u3048\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n \u6b63\u5f26\u5b9a\u7406\u306f\u4e09\u89d2\u5f62\u306b\u4f7f\u3046\u5b9a\u7406\u3067\u3059\u3002<\/span><\/p>\n\n\n\n \u5404\u9802\u70b9A,B,C\u3068\u3057\u3066\u3001\u5411\u304b\u3044\u5408\u3046\u8fba\u3092a,b,c\u3068\u3059\u308b\u3002<\/p>\n\n\n \u25b3ABC\u306e\u5916\u63a5\u5186\u306e\u534a\u5f84\u3092R\u3068\u3059\u308b\u3068\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \\[\\displaystyle \\frac{a}{\\sin A}=\\frac{b}{\\sin B}=\\frac{c}{\\sin C}=2R\\]<\/p>\n<\/div><\/div>\n\n\n\n \u4f59\u5f26\u5b9a\u7406\u3082\u4e09\u89d2\u5f62\u306b\u8fba\u3084\u89d2\u3092\u6c42\u3081\u308b\u5b9a\u7406\u3067\u3059\u3002<\/span><\/p>\n\n\n\n \u5404\u9802\u70b9A,B,C\u3068\u3057\u3066\u3001\u5411\u304b\u3044\u5408\u3046\u8fba\u3092a,b,c\u3068\u3059\u308b\u3002<\/p>\n\n\n \u25b3ABC\u306b\u304a\u3044\u3066\u3001\u6b21\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n\n\n\n \\(a^{2}=b^{2}+c^{2}-2bc \\cos \\angle A\\)<\/p>\n\n\n\n \\(b^{2}=a^{2}+c^{2}-2ac \\cos \\angle B\\)<\/p>\n\n\n\n \\(c^{2}=a^{2}+b^{2}-2ab \\cos \\angle C\\)<\/p>\n<\/div><\/div>\n\n\n\n \u4e09\u89d2\u6bd4\u3092\u4f7f\u3063\u3066\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u3092\u6c42\u3081\u308b\u3053\u3068\u3082\u3067\u304d\u308b\u3093\u3067\u3059\u3002<\/span><\/p>\n\n\n\n sin\uff08\u30b5\u30a4\u30f3\uff09\u3092\u7528\u3044\u305f\u9762\u7a4d\u516c\u5f0f\u306f\u4e09\u89d2\u5f62\u306e2\u8fba\u3068\u305d\u306e\u9593\u306e\u89d2\u304c\u5206\u304b\u3063\u3066\u308b\u3068\u304d\u306b\u4f7f\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n sin\uff08\u30b5\u30a4\u30f3\uff09\u3092\u7528\u3044\u308b\u4e09\u89d2\u5f62\u306e\u9762\u7a4d\u516c\u5f0f\u3092\u89e3\u8aac\uff01<\/p>\n\n\n\n \u4eca\u56de\u306f\u4e09\u89d2\u6bd4\u306b\u3064\u3044\u3066\u306e\u5b8c\u5168\u653b\u7565\u8a18\u4e8b\u3068\u3057\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u4e09\u89d2\u6bd4\u306b\u95a2\u3059\u308b\u8a18\u4e8b\u3092\u7db2\u7f85\u7684\u306b\u307e\u3068\u3081\u307e\u3057\u305f\u304c\u3001\u8a73\u3057\u3044\u30dd\u30a4\u30f3\u30c8\u306f\u5404\u5358\u5143\u306e\u8a18\u4e8b\u3067\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u305d\u3061\u3089\u3082\u305c\u3072\u53c2\u8003\u306b\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n \u6559\u79d1\u66f8\u306b\u5185\u5bb9\u306b\u6cbf\u3063\u305f\u89e3\u8aac\u8a18\u4e8b\u3092\u6319\u3052\u3066\u3044\u308b\u306e\u3067\u3001\u5b9a\u671f\u8a66\u9a13\u524d\u306b\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n \u305d\u308c\u3067\u306f\u6700\u5f8c\u307e\u3067\u3054\u89a7\u3044\u305f\u3060\u304d\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u307f\u3093\u306a\u306e\u52aa\u529b\u304c\u5831\u308f\u308c\u307e\u3059\u3088\u3046\u306b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":" \u6570\u5b66\u2160\u56f3\u5f62\u3068\u8a08\u91cf\u3067\u6b20\u304b\u305b\u306a\u3044\u306e\u304c\u300e\u4e09\u89d2\u6bd4\u300f\u3067\u3059\u3088\u306d\u3002 \u4eca\u56de\u306f\u4e09\u89d2\u6bd4\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u4eca\u56de\u306f\u4e09\u89d2\u6bd4\u306e\u57fa\u790e\u304c\u8a70\u307e\u3063\u305f\u300c\u5b8c\u5168\u653b\u7565\u300d\u8a18\u4e8b\u3092\u66f8\u304d\u307e\u3057\u305f\u3002 \u9577\u3044\u8a18\u4e8b\u3067\u3059\u304c\u3086\u3063\u304f\u308a\u8aad\u3081\u3070\u4e09\u89d2\u6bd4\u306e\u7dcf\u5fa9\u7fd2\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063 […]<\/p>\n","protected":false},"author":1,"featured_media":5674,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[34,222],"tags":[36,46,10,11],"class_list":["post-3477","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sankakuhi","category-math-1","tag-36","tag-46","tag-a","tag-11"],"yoast_head":"\n
\u9ad8\u6821\u751f<\/span><\/div>\u4e09\u89d2\u6bd4\u306e\u91cd\u8981\u516c\u5f0f\u4e00\u89a7<\/h2>\n\n\n
<\/figure>\n<\/div>\n\n\n
\u91cd\u8981\u306a\u516c\u5f0f5\u3064<\/span>\u3092\u30ea\u30b9\u30c8\u30a2\u30c3\u30d7\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n\n
\u4e09\u89d2\u6bd4\u306e\u57fa\u672c\u516c\u5f0f<\/h3>\n\n\n\n
\n
\u4e09\u89d2\u6bd4\u306e\u76f8\u4e92\u95a2\u4fc2<\/h3>\n\n\n\n
\u6b63\u5f26\u5b9a\u7406<\/h3>\n\n\n\n
\u4f59\u5f26\u5b9a\u7406<\/h3>\n\n\n\n
\\(\\sin\\)\u3092\u7528\u3044\u305f\u4e09\u89d2\u5f62\u306e\u9762\u7a4d<\/h3>\n\n\n\n
\u4e09\u89d2\u6bd4\u306e\u516c\u5f0f<\/h2>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\n
<\/figure>\n<\/div>\n\n
<\/figure>\n<\/div>\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\u4e09\u89d2\u6bd4\u306e\u76f8\u4e92\u95a2\u4fc2<\/h2>\n\n\n\n
<\/span><\/p>\n\n\n\n\u4e09\u89d2\u6bd4\u306e\u62e1\u5f35<\/h2>\n\n\n\n
\\(-\\theta\\)\u306e\u516c\u5f0f<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\n
\\(\\displaystyle \\theta+\\frac{\\pi}{2}\\)\u306e\u516c\u5f0f<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\n
\\(\\theta+\\pi\\)\u306e\u516c\u5f0f<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\n
\u6b63\u5f26\u5b9a\u7406<\/h2>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u4f59\u5f26\u5b9a\u7406<\/h2>\n\n\n\n
<\/figure>\n<\/div>\n\n\nsin\u3092\u4f7f\u3063\u305f\u9762\u7a4d\u516c\u5f0f<\/h2>\n\n\n\n
\u4e09\u89d2\u6bd4\u306e\u516c\u5f0f\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n
\n