{"id":363,"date":"2023-07-04T13:41:37","date_gmt":"2023-07-04T13:41:37","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%8f%8c%e6%9b%b2%e7%b7%9a%e4%bd%99%e5%bc%a6%e9%96%a2%e6%95%b0\/"},"modified":"2023-07-04T13:41:37","modified_gmt":"2023-07-04T13:41:37","slug":"%e5%8f%8c%e6%9b%b2%e7%b7%9a%e4%bd%99%e5%bc%a6%e9%96%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%8f%8c%e6%9b%b2%e7%b7%9a%e4%bd%99%e5%bc%a6%e9%96%a2%e6%95%b0\/","title":{"rendered":"\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u53cc\u66f2\u7dda\u30b3\u30b5\u30a4\u30f3\u95a2\u6570\u306b\u95a2\u3059\u308b\u3059\u3079\u3066\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u305d\u306e\u516c\u5f0f\u3001\u30b0\u30e9\u30d5\u8868\u73fe\u3001\u7279\u6027\u3001\u4ed6\u306e\u95a2\u6570\u3068\u306e\u6570\u5b66\u7684\u95a2\u4fc2\u306a\u3069\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-coseno-hiperbolico\"><\/span>\u53cc\u66f2\u7dda\u4f59\u5f26\u306e\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u53cc\u66f2\u7dda\u30b3\u30b5\u30a4\u30f3<\/strong>\u95a2\u6570\u306f\u4e3b\u8981\u306a\u53cc\u66f2\u7dda\u95a2\u6570\u306e 1 \u3064\u3067\u3042\u308a\u3001\u8a18\u53f7<strong>cosh(x)<\/strong>\u3067\u8868\u3055\u308c\u307e\u3059\u3002\u53cc\u66f2\u7dda\u4f59\u5f26\u306f\u3001e <sup>x<\/sup>\u3068 e <sup>-x<\/sup>\u3092\u8db3\u3057\u305f\u3082\u306e\u3092 2 \u3067\u5272\u3063\u305f\u5024\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u53cc\u66f2\u7dda\u4f59\u5f26\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f667377a7e792f2c9f5f5a7a0ecda4e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{cosh}(x)=\\cfrac{e^{x}+e^{-x}}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"149\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u53cc\u66f2\u7dda\u4f59\u5f26\u306f\u6570\u5b66\u7684\u306b\u6307\u6570\u95a2\u6570\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002\u6b21\u306e\u30ea\u30f3\u30af\u3067\u306f\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u6307\u6570\u95a2\u6570\/\">\u6307\u6570\u95a2\u6570\u306e\u6027\u8cea<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-del-coseno-hiperbolico\"><\/span>\u53cc\u66f2\u7dda\u4f59\u5f26\u306e\u30b0\u30e9\u30d5\u8868\u793a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u53cc\u66f2\u7dda\u30b3\u30b5\u30a4\u30f3\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u8868\u793a\u306f\u3001\u4e8c\u6b21\u95a2\u6570 (\u307e\u305f\u306f\u653e\u7269\u7dda) \u306e\u5f62\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/cosinus-hyperbolique.webp\" alt=\"\u53cc\u66f2\u7dda\u4f59\u5f26\" class=\"wp-image-376\" width=\"281\" height=\"308\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u4e8c\u6b21\u653e\u7269\u7dda\u95a2\u6570\/\">\u300c2 \u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u8868\u793a\u300d<\/a><\/span><strong>\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044<\/strong>\u3002<\/p>\n<p>\u3053\u306e\u30b0\u30e9\u30d5\u3067\u306f\u3001\u53cc\u66f2\u7dda\u4f59\u5f26\u304c y \u8ef8\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u3067\u3042\u308b\u305f\u3081\u3001\u5076\u95a2\u6570\u3067\u3042\u308b\u3053\u3068\u304c\u306f\u3063\u304d\u308a\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u53cc\u66f2\u7dda\u4f59\u5f26\u306e\u30b0\u30e9\u30d5\u306f\u3001\u5468\u671f\u95a2\u6570\u3067\u3042\u308b\u4f59\u5f26\uff08\u4e09\u89d2\u95a2\u6570\uff09\u306e\u30b0\u30e9\u30d5\u3068\u306f\u5927\u304d\u304f\u7570\u306a\u308a\u307e\u3059\u3002\u6b21\u306e\u30ea\u30f3\u30af\u3067\u3001\u30b3\u30b5\u30a4\u30f3\u306e\u30b0\u30e9\u30d5\u8868\u73fe\u3068\u53cc\u66f2\u7dda\u30b3\u30b5\u30a4\u30f3\u3068\u306e\u3059\u3079\u3066\u306e\u9055\u3044\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u30b3\u30b5\u30a4\u30f3\u95a2\u6570\/\">\u30b3\u30b5\u30a4\u30f3\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u8868\u793a<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-del-coseno-hiperbolico\"><\/span>\u30cf\u30a4\u30d1\u30dc\u30ea\u30c3\u30af\u30b3\u30b5\u30a4\u30f3\u306e\u7279\u5fb4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u53cc\u66f2\u7dda\u4f59\u5f26\u306f\u6b21\u306e\u7279\u6027\u3092\u8003\u616e\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570\u306e\u5b9a\u7fa9\u57df\u306f\u3059\u3079\u3066\u5b9f\u6570\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cd1539b66edeb38040ed80168e1fd9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4ee3\u308f\u308a\u306b\u3001\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570\u306e\u7bc4\u56f2 (\u307e\u305f\u306f\u7bc4\u56f2) \u306f 1 \u3067\u3042\u308a\u3001\u3059\u3079\u3066\u306e\u6570\u5024\u306f 1 \u3088\u308a\u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60c76341385ea1ebb5f20476cd8226f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= [1,+\\infty)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u53cc\u66f2\u7dda\u4f59\u5f26\u306f\u9023\u7d9a\u7684\u3067\u5076\u6570\u306e\u95a2\u6570\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91f3c4459fc8d8840fd902946c851d1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cosh}(-x)=\\text{cosh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u95a2\u6570\u306f\u70b9 x=0 \u3067 Y \u8ef8\u3068\u4ea4\u5dee\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dd01415f329053c1a450867378fc1582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e00\u65b9\u3001\u95a2\u6570\u306b\u306f X \u8ef8\u3068\u306e\u4ea4\u70b9\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570\u306e\u7121\u9650\u5927\u306b\u5bfe\u3059\u308b 2 \u3064\u306e\u5236\u9650 (\u6b63\u3068\u8ca0) \u306b\u3088\u308a\u3001\u30d7\u30e9\u30b9\u306e\u7121\u9650\u5927\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a5aadc0c48684e553e9971aefe442d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to+\\infty}\\text{cosh}(x)=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"161\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb2a605c43e81635473abf73554d264f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to-\\infty}\\text{cosh}(x)=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u53cc\u66f2\u7dda\u4f59\u5f26\u306f x = 0 \u307e\u3067\u6e1b\u5c11\u3057\u3001\u305d\u306e\u6642\u70b9\u304b\u3089\u7121\u9650\u306b\u5897\u52a0\u3059\u308b\u305f\u3081\u3001\u95a2\u6570\u306f x = 0 \u3067\u6700\u5c0f\u5024\u306b\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dd01415f329053c1a450867378fc1582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3053\u306e\u95a2\u6570\u306f\u9818\u57df\u5168\u4f53\u3067\u51f8\u3067\u3042\u308b\u305f\u3081\u3001\u5909\u66f2\u70b9\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306f\u53cc\u66f2\u7dda\u6b63\u5f26\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a7a982aae764353843a57652f9a6797_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cosh}(x) \\ \\longrightarrow \\ f'(x)=\\text{senh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"286\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570\u306e\u7a4d\u5206\u306f\u53cc\u66f2\u7dda\u6b63\u5f26\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a509c96c515bb7115359764e7e4451df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int \\text{cosh}(x) \\ dx= \\text{senh}(x) + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"221\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li>\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570\u306e\u30c6\u30a4\u30e9\u30fc\u591a\u9805\u5f0f (\u307e\u305f\u306f\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u7d1a\u6570) \u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cdbe87b63234b62e226371256f8a6c8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{cosh}(x)=1+\\cfrac{x^2}{2!}+\\cfrac{x^4}{4!}+\\cfrac{x^6}{6!}+\\dots=\\sum_{n=0}^\\infty\\cfrac{x^{2n}}{(2n)!}\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"350\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<ul>\n<li>\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570\u306e\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee373a19450972f0c4cccc3a273770e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathcal{L}\\bigl[\\text{cosh}(at)\\bigr]=\\cfrac{s}{s^2-a^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"171\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relaciones-matematicas-del-coseno-hiperbolico\"><\/span>\u53cc\u66f2\u7dda\u4f59\u5f26\u306e\u6570\u5b66\u7684\u95a2\u4fc2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306b\u3001\u4ed6\u306e\u53cc\u66f2\u7dda\u95a2\u6570\u306f\u3059\u3079\u3066\u6570\u5b66\u7684\u306b\u95a2\u9023\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u4ed6\u306e\u53cc\u66f2\u7dda\u95a2\u6570\u304b\u3089\u53cc\u66f2\u7dda\u4f59\u5f26\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u57fa\u672c\u65b9\u7a0b\u5f0f\u306f\u3001\u53cc\u66f2\u7dda\u4f59\u5f26\u3092\u53cc\u66f2\u7dda\u6b63\u5f26\u306b\u95a2\u9023\u4ed8\u3051\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4317a445a90e4d139b47db7cf4a49a1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cosh}^2(x)-\\text{senh}^2(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/mathority.org\/ja\/\u53cc\u66f2\u7dda\u6b63\u5f26\u95a2\u6570\/\"><span style=\"text-decoration: underline;\">\u53cc\u66f2\u7dda\u6b63\u5f26<\/span><\/a><\/p>\n<p>3 \u3064\u306e\u4e3b\u8981\u306a\u53cc\u66f2\u7dda\u95a2\u6570 (\u53cc\u66f2\u7dda\u30b5\u30a4\u30f3\u3001\u30b3\u30b5\u30a4\u30f3\u3001\u304a\u3088\u3073\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8) \u306f\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u3067\u95a2\u9023\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12f286528bc0635705aadbe510b6ceb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tanh}(x)=\\cfrac{\\text{senh}(x)}{\\text{cosh}(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"144\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u30012 \u3064\u306e\u7570\u306a\u308b\u6570\u5024\u306e\u52a0\u7b97 (\u307e\u305f\u306f\u6e1b\u7b97) \u306e\u53cc\u66f2\u7dda\u4f59\u5f26\u306f\u3001\u6b21\u306e\u5f0f\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-75dff3fbdfd533e08cf581767a0d9b7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cosh}(x+y)=\\text{cosh}(x)\\text{cosh}(y)+\\text{senh}(y)\\text{senh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"363\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3762e67762eecb02ed3d30c39febca9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cosh}(x-y)=\\text{cosh}(x)\\text{cosh}(y)-\\text{senh}(y)\\text{senh}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"363\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6570\u5024\u3092 2 \u500d\u3057\u305f\u53cc\u66f2\u7dda\u4f59\u5f26\u306f\u3001\u3053\u306e\u6570\u5024\u306e\u53cc\u66f2\u7dda\u4f59\u5f26\u3068\u53cc\u66f2\u7dda\u6b63\u5f26\u306e\u4e8c\u4e57\u306e\u548c\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be5e2f8a1f407e6dce0c53932575d545_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cosh}(2x)=\\text{cosh}^2(x)+\\text{senh}^2(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"242\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2 \u3064\u306e\u53cc\u66f2\u7dda\u4f59\u5f26\u306e\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u306f\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3057\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02b9d1c798f2639e6503add69dcdb401_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{cosh}(x)+\\text{cosh}(y)=2\\text{cosh}\\left(\\frac{x+y}{2}\\right)\\text{cosh}\\left(\\frac{x-y}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"384\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ec9d613adc720e383f1c3c0c9c8ca5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{cosh}(x)-\\text{cosh}(y)=2\\text{senh}\\left(\\frac{x+y}{2}\\right)\\text{senh}\\left(\\frac{x-y}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"386\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u53cc\u66f2\u7dda\u4f59\u5f26\u306e\u4e8c\u4e57\u306f\u6b21\u306e\u5f0f\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33c90357c8680ebd2ca5725aad7703f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{cosh}^2(x)=\\cfrac{1}{2}\\Bigl(\\text{cosh}(2x)+1\\Bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"215\" style=\"vertical-align: -12px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u3053\u3067\u306f\u3001\u53cc\u66f2\u7dda\u30b3\u30b5\u30a4\u30f3\u95a2\u6570\u306b\u95a2\u3059\u308b\u3059\u3079\u3066\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u305d\u306e\u516c\u5f0f\u3001\u30b0\u30e9\u30d5\u8868\u73fe\u3001\u7279\u6027\u3001\u4ed6\u306e\u95a2\u6570\u3068\u306e\u6570\u5b66\u7684\u95a2\u4fc2\u306a\u3069\u3067\u3059\u3002 \u53cc\u66f2\u7dda\u4f59\u5f26\u306e\u516c\u5f0f \u53cc\u66f2\u7dda\u30b3\u30b5\u30a4\u30f3\u95a2\u6570\u306f\u4e3b\u8981\u306a\u53cc\u66f2\u7dda\u95a2\u6570\u306e 1 \u3064\u3067\u3042\u308a\u3001\u8a18\u53f7cosh(x)\u3067\u8868\u3055\u308c\u307e\u3059 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%8f%8c%e6%9b%b2%e7%b7%9a%e4%bd%99%e5%bc%a6%e9%96%a2%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u53cc\u66f2\u7dda\u4f59\u5f26\u95a2\u6570<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-363","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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