{"id":5162,"date":"2024-12-27T17:47:33","date_gmt":"2024-12-27T08:47:33","guid":{"rendered":"https:\/\/torisetudy.com\/?p=5162"},"modified":"2026-03-09T17:46:55","modified_gmt":"2026-03-09T08:46:55","slug":"%e7%a9%8d%e5%92%8c%e3%83%bb%e5%92%8c%e7%a9%8d%e5%ae%9a%e7%90%86","status":"publish","type":"post","link":"https:\/\/torisetudy.com\/?p=5162","title":{"rendered":"\u7a4d\u548c\u30fb\u548c\u7a4d\u5b9a\u7406"},"content":{"rendered":"\n<div id=\"toc_container\" class=\"no_bullets\"><p class=\"toc_title\">\u76ee\u6b21<\/p><ul class=\"toc_list\"><li><a href=\"#i\"><span class=\"toc_number toc_depth_1\">1<\/span> \u7a4d\u548c\u516c\u5f0f<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u548c\u7a4d\u516c\u5f0f<\/a><\/li><\/ul><\/div>\n<h2 class=\"wp-block-heading\"><span id=\"i\">\u7a4d\u548c\u516c\u5f0f<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u516c\u5f0f\u306e\u5c0e\u51fa<\/h3>\n\n\n\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u7a4d\u3092\u548c\u306e\u5f62\u306b\u76f4\u3059\u5f0f\u304c\u7a4d\u548c\u516c\u5f0f\u3067\u3059\u3002\u52a0\u6cd5\u5b9a\u7406\u304b\u3089\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-my-box st-mybox has-title post-hashiro-point\" style=\"background-color:#fff;border-color:#ff7f50\"><p class=\"st-mybox-title\" style=\"color:#ff7f50;font-weight:bold;text-shadow:#fff 3px 0px 0px, #fff 2.83487px .981584px 0px, #fff 2.35766px 1.85511px 0px, #fff 1.62091px 2.52441px 0px, #fff .705713px 2.91581px 0px, #fff -0.287171px 2.98622px 0px, #fff -1.24844px 2.72789px 0px, #fff -2.07227px 2.16926px 0px, #fff -2.66798px 1.37182px 0px, #fff -2.96998px .42336px 0px, #fff -2.94502px -0.571704px 0px, #fff -2.59586px -1.50383px 0px, #fff -1.96093px -2.27041px 0px, #fff -1.11013px -2.78704px 0px, #fff -0.137119px -2.99686px 0px, #fff .850987px -2.87677px 0px, #fff 1.74541px -2.43999px 0px, #fff 2.44769px -1.73459px 0px, #fff 2.88051px -0.838246px 0px;background:linear-gradient(0deg, #fff 0%, #fff 55%, rgba(0, 0, 0, 0) 55%, rgba(0, 0, 0, 0) 100%)\"><i class=\"st-fa st-svg-lightbulb-o st-css-no\" aria-hidden=\"\"><\/i>\u30dd\u30a4\u30f3\u30c8<\/p><div class=\"st-in-mybox\">\n<p>\u4ee5\u4e0b\u306e\u95a2\u4fc2\u5f0f\u304c\u6210\u7acb\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$$\\begin{aligned} \\sin\\alpha\\cos\\beta&amp;=\\bun12{\\sin(\\alpha+\\beta)+\\sin(\\alpha-\\beta)}\\\\ \\cos\\alpha\\sin\\beta&amp;=\\bun12{\\sin(\\alpha+\\beta)-\\sin(\\alpha-\\beta)}\\\\ \\sin\\alpha\\sin\\beta&amp;=\\bun12{\\cos(\\alpha-\\beta)-\\cos(\\alpha+\\beta)}\\\\ \\cos\\alpha\\cos\\beta&amp;=\\bun12{\\cos(\\alpha+\\beta)+\\cos(\\alpha-\\beta)} \\end{aligned}$$<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon4 clearfix\"><div class=\"st-kaiwa-area2\"><div class=\"st-kaiwa-hukidashi2\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u8a3c\u660e\u3082\u8981\u30c1\u30a7\u30c3\u30af\uff01<\/p>\n<\/div><\/div><\/div><div class=\"st-kaiwa-face2\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u751f\u5f92\uff08\u5b66\u7fd2\uff09.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u751f\u5f92\uff08\u5b66\u7fd2\uff09.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name2\">\u751f\u5f92<\/div><\/div><\/div>\n\n\n\n<p>\u52a0\u6cd5\u5b9a\u7406\u3092\u7528\u3044\u3066\u5c0e\u51fa\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\\begin{aligned} \\sin(\\alpha+\\beta)&amp;=\\sin\\alpha\\cos\\beta+\\cos\\alpha\\sin\\beta\\stext{\\quad\u2026\\ \u2460}\\\\ \\sin(\\alpha-\\beta)&amp;=\\sin\\alpha\\cos\\beta-\\cos\\alpha\\sin\\beta\\stext{\\quad\u2026\\ \u2461} \\end{aligned}$$<\/p>\n\n\n\n<p>\u2460 $+$ \u2461 \u3088\u308a\uff0c<\/p>\n\n\n\n<p>$$\\sin(\\alpha+\\beta)+\\sin(\\alpha-\\beta)=2\\sin\\alpha\\cos\\beta$$\u304c\u5f97\u3089\u308c\u307e\u3059\u306e\u3067\uff0c\u3053\u308c\u3092\u6574\u7406\u3057\u3066<\/p>\n\n\n\n<p>$$\\sin\\alpha\\cos\\beta=\\Bun12{\\sin(\\alpha+\\beta)+\\sin(\\alpha-\\beta)}$$\u3067\u3059\uff01<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u305d\u306e\u4ed6\u306e\u7a4d\u548c\u516c\u5f0f\u3082\u52a0\u6cd5\u5b9a\u7406\u304b\u3089\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u4e38\u6697\u8a18\u306f\u3057\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u2026\uff01\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p><span class=\"st-mymarker-s-b\">\u52a0\u6cd5\u5b9a\u7406\u304b\u3089\u77ac\u6642\u306b\u5c0e\u3051\u308b\u3088\u3046\u306b\u3059\u308b\u3053\u3068<\/span>\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span id=\"i-2\">\u548c\u7a4d\u516c\u5f0f<\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u516c\u5f0f\u306e\u5c0e\u51fa<\/h3>\n\n\n\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u7a4d\u3092\u548c\u306e\u5f62\u306b\u76f4\u3059\u5f0f\u304c\u7a4d\u548c\u516c\u5f0f\u3067\u3057\u305f\u3002\u305d\u306e\u9006\u3067\uff0c\u4e09\u89d2\u95a2\u6570\u306e\u548c\u3092\u7a4d\u306e\u5f62\u306b\u76f4\u3059\u306e\u304c\u548c\u7a4d\u516c\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u7a4d\u548c\u516c\u5f0f\u3068\u540c\u69d8\u306b\uff0c\u52a0\u6cd5\u5b9a\u7406\u304b\u3089\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-my-box st-mybox has-title post-hashiro-point\" style=\"background-color:#fff;border-color:#ff7f50\"><p class=\"st-mybox-title\" style=\"color:#ff7f50;font-weight:bold;text-shadow:#fff 3px 0px 0px, #fff 2.83487px .981584px 0px, #fff 2.35766px 1.85511px 0px, #fff 1.62091px 2.52441px 0px, #fff .705713px 2.91581px 0px, #fff -0.287171px 2.98622px 0px, #fff -1.24844px 2.72789px 0px, #fff -2.07227px 2.16926px 0px, #fff -2.66798px 1.37182px 0px, #fff -2.96998px .42336px 0px, #fff -2.94502px -0.571704px 0px, #fff -2.59586px -1.50383px 0px, #fff -1.96093px -2.27041px 0px, #fff -1.11013px -2.78704px 0px, #fff -0.137119px -2.99686px 0px, #fff .850987px -2.87677px 0px, #fff 1.74541px -2.43999px 0px, #fff 2.44769px -1.73459px 0px, #fff 2.88051px -0.838246px 0px;background:linear-gradient(0deg, #fff 0%, #fff 55%, rgba(0, 0, 0, 0) 55%, rgba(0, 0, 0, 0) 100%)\"><i class=\"st-fa st-svg-lightbulb-o st-css-no\" aria-hidden=\"\"><\/i>\u548c\u7a4d\u516c\u5f0f<\/p><div class=\"st-in-mybox\">\n<p>\u4ee5\u4e0b\u306e\u95a2\u4fc2\u5f0f\u304c\u6210\u7acb\u3059\u308b\u3002<\/p>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$$\\begin{aligned} \\sin A+\\sin B&amp;=2\\sin\\bun{A+B}{2}\\cos\\bun{A-B}{2}\\\\ \\sin A-\\sin B&amp;=2\\cos\\bun{A+B}{2}\\sin\\bun{A-B}{2}\\\\ \\cos A+\\cos B&amp;=2\\cos\\bun{A+B}{2}\\cos\\bun{A-B}{2}\\\\ \\cos A-\\cos B&amp;=-2\\sin\\bun{A+B}{2}\\sin\\bun{A-B}{2} \\end{aligned}$$<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u3053\u3061\u3089\u306e\u516c\u5f0f\u3082\uff0c\u5c0e\u51fa\u306e\u4ed5\u65b9\u3092\u7406\u89e3\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u3044\u304f\u3064\u304b\u306eStep\u304c\u5fc5\u8981\u3068\u306a\u308a\u307e\u3059\u306e\u3067\uff0c\u9806\u756a\u306b\u8aac\u660e\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading is-style-st-heading-custom-count post-hashiro-countA\">\u89d2\u5ea6\u306e\u8a08\u7b97<\/h3>\n\n\n\n<p>\u307e\u305a\u306f\u3058\u3081\u306b\uff0c<\/p>\n\n\n\n<p>$$\\alpha+\\beta=A,\\ \\alpha-\\beta=B$$\u3068\u306a\u308b $\\alpha,\\,\\beta$ \u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading is-style-st-heading-custom-count post-hashiro-countA\">\u5f0f\u5909\u5f62<\/h3>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u5f0f\u5909\u5f62\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"scroll\">$$\\begin{aligned} \\sin A+\\sin B&amp;=\\sin(\\alpha+\\beta)+\\sin(\\alpha-\\beta)\\\\ &amp;=(\\sin\\alpha\\cos\\beta+\\cos\\alpha\\sin\\beta)+(\\sin\\alpha\\cos\\beta-\\cos\\alpha\\sin\\beta)\\\\ &amp;=2\\sin\\alpha\\cos\\beta \\end{aligned}$$<\/p>\n\n\n\n<h3 class=\"wp-block-heading is-style-st-heading-custom-count post-hashiro-countA\">\u89d2\u5ea6\u306e\u4ee3\u5165<\/h3>\n\n\n\n<p>$\\alpha=\\bun{A+B}{2}$\uff0c$\\beta=\\bun{A-B}{2}$ \u3092\u4ee3\u5165\u3057\u307e\u3059\u3002\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$\\sin A+\\sin B=2\\sin\\bun{A+B}{2}\\cos\\bun{A-B}{2}$$\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u4ee5\u4e0a\u306e\u624b\u9806\u3067\u4ed6\u306e\u516c\u5f0f\u3082\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u7d50\u679c\u3092\u6697\u8a18\u3059\u308b\u306e\u3067\u306f\u306a\u304f\uff0c\u3053\u306e\u5c0e\u51fa\u904e\u7a0b\u3092\u3057\u3063\u304b\u308a\u3068\u899a\u3048\u3066\uff0c<span class=\"st-mymarker-s\">\u5fc5\u8981\u306a\u3068\u304d<\/span><span class=\"st-mymarker-s\">\u306b<\/span><span class=\"st-mymarker-s\">\u77ac\u6642\u306b\u5c0e\u3051\u308b<\/span>\u3088\u3046\u306b\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u7fbd\u767d\u3082\u899a\u3048\u3066\u3044\u307e\u305b\u3093\u3002\u5b66\u751f\u6642\u4ee3\u3082\u899a\u3048\u3066\u3044\u307e\u305b\u3093\u3067\u3057\u305f\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u6b211 \u7a4d\u548c\u516c\u5f0f2 \u548c\u7a4d\u516c\u5f0f \u7a4d\u548c\u516c\u5f0f \u516c\u5f0f\u306e\u5c0e\u51fa \u4e09\u89d2\u95a2\u6570\u306e\u7a4d\u3092\u548c\u306e\u5f62\u306b\u76f4\u3059\u5f0f\u304c\u7a4d\u548c\u516c\u5f0f\u3067\u3059\u3002\u52a0\u6cd5\u5b9a\u7406\u304b\u3089\u5c0e\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u52a0\u6cd5\u5b9a\u7406\u3092\u7528\u3044\u3066\u5c0e\u51fa\u3057\u307e\u3059\u3002 $$\\begin{aligned} \\s &#8230; <\/p>\n","protected":false},"author":1,"featured_media":5149,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33,32],"tags":[],"class_list":["post-5162","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-trigonometry","category-32"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5162"}],"collection":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5162"}],"version-history":[{"count":9,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5162\/revisions"}],"predecessor-version":[{"id":5267,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5162\/revisions\/5267"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/media\/5149"}],"wp:attachment":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5162"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5162"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}