{"id":128,"date":"2023-07-16T17:57:55","date_gmt":"2023-07-16T17:57:55","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e6%81%92%e7%ad%89%e5%bc%8f\/"},"modified":"2023-07-16T17:57:55","modified_gmt":"2023-07-16T17:57:55","slug":"%e4%b8%89%e8%a7%92%e6%81%92%e7%ad%89%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e4%b8%89%e8%a7%92%e6%81%92%e7%ad%89%e5%bc%8f\/","title":{"rendered":"\u4e09\u89d2\u6052\u7b49\u5f0f\u3068\u306f\u4f55\u3067\u3059\u304b?"},"content":{"rendered":"<p><strong>\u4e09\u89d2\u6052\u7b49\u5f0f\u306f<\/strong>\u3001\u7570\u306a\u308b\u4e09\u89d2\u95a2\u6570\u9593\u306e\u7b49\u5f0f\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u4e09\u89d2\u6bd4\u306e\u7b49\u4fa1\u6027\u306e\u304a\u304b\u3052\u3067\u3001\u4ed6\u306e\u4e09\u89d2\u6bd4\u306b\u57fa\u3065\u3044\u3066\u7279\u5b9a\u306e<a href=\"https:\/\/mathority.org\/ja\/\u4e09\u89d2\u6bd4\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u4e09\u89d2\u6bd4<\/a>\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4e09\u89d2\u6052\u7b49\u5f0f\u306e\u516c\u5f0f\u3092\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u3053\u308c\u3089\u306e\u6bd4\u306e\u516c\u5f0f\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3042\u306a\u305f\u306e\u30b1\u30fc\u30b9\u3067\u305d\u308c\u3089\u304c\u308f\u304b\u3089\u306a\u3044\u5834\u5408\u306f\u3001\u6700\u5f8c\u306e\u30ea\u30f3\u30af\u306b\u30a2\u30af\u30bb\u30b9\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Tabla_de_identidades_trigonometricas\">\u4e09\u89d2\u6052\u7b49\u5f0f\u306e\u8868<\/span><\/h2>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"301\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formulaire-didentites-trigonometriques.webp\" data-src=\"\" alt=\"\u4e09\u89d2\u6052\u7b49\u5f0f\u30d5\u30a9\u30fc\u30e0\" class=\"wp-image-7444 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Formulario-de-identidades-trigonometricas-800x301.png 800w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Formulario-de-identidades-trigonometricas-500x188.png 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Formulario-de-identidades-trigonometricas-768x289.png 768w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Formulario-de-identidades-trigonometricas.png 1173w\" sizes=\"auto, \" srcset=\"\"><figcaption>\u4e09\u89d2\u6052\u7b49\u5f0f\u30d5\u30a9\u30fc\u30e0<\/figcaption><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span id=\"Identidades_trigonometricas_fundamentales\">\u57fa\u672c\u7684\u306a\u4e09\u89d2\u6052\u7b49\u5f0f<\/span><\/h2>\n<p>\u4e00\u9023\u306e\u57fa\u672c\u7684\u306a\u4e09\u89d2\u6052\u7b49\u5f0f\u304c\u3042\u308a\u3001\u305d\u308c\u3089\u306f\u4ed6\u306e\u6052\u7b49\u5f0f<strong>\u306e\u7406\u8ad6\u7684\u57fa\u790e<\/strong>\u3092\u63d0\u4f9b\u3059\u308b\u305f\u3081\u3001\u6700\u3082\u91cd\u8981\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3089\u306f\u6700\u3082\u4e00\u822c\u7684\u3067\u3042\u308a\u3001\u975e\u5e38\u306b\u76f4\u611f\u7684\u3067\u3042\u308b\u305f\u3081\u3001\u304a\u305d\u3089\u304f\u6700\u3082\u899a\u3048\u3084\u3059\u3044\u3082\u306e\u3067\u3059\u3002\u3059\u3079\u3066\u306e\u6570\u5f0f\u306f\u6b21\u306e\u753b\u50cf\u306b\u57fa\u3065\u3044\u3066\u3044\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"319\" height=\"248\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/triangle-rectangle.webp\" data-src=\"\" alt=\"\u4e09\u89d2\u5f62\u3001\u9577\u65b9\u5f62\" class=\"wp-image-7379 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u57fa\u672c\u7684\u306a\u4e09\u89d2\u95a2\u6570\u306e\u6052\u7b49\u5f0f<\/h3>\n<p>\u3059\u3079\u3066\u306e\u6700\u521d\u306e\u6052\u7b49\u5f0f\u306f<strong>\u3001\u57fa\u672c\u4e09\u89d2\u95a2\u6570\u6052\u7b49\u5f0f<\/strong>\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u308b\u3082\u306e\u3067\u3001\u30b5\u30a4\u30f3\u3068\u30b3\u30b5\u30a4\u30f3\u306e\u95a2\u4fc2\u3068\u3057\u3066\u3082\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u305d\u306e\u6570\u5b66\u7684\u8a3c\u660e\u3067\u3059: sin\u00b2 (\u03b1) + cos\u00b2 (\u03b1) = 1\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"233\" height=\"355\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/preuve-didentite-trigonometrique-fondamentale.webp\" data-src=\"\" alt=\"\u57fa\u672c\u7684\u306a\u4e09\u89d2\u95a2\u6570\u306e\u540c\u4e00\u6027\u8a3c\u660e\" class=\"wp-image-7420 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6700\u5f8c\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u306f\u3001\u57fa\u672c\u7684\u306b\u30d4\u30bf\u30b4\u30e9\u30b9\u306e\u5b9a\u7406\u3092\u9069\u7528\u3057\u307e\u3059\u3002c\u00b2 = a\u00b2 + b\u00b2 \u3067\u3042\u308b\u305f\u3081\u3001c\u00b2 \/ c\u00b2 \u306f 1 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u7d50\u8ad6\u3068\u3057\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u8a00\u3048\u307e\u3059\u3002 sin\u00b2 (\u03b1) + cos\u00b2 (\u03b1) = 1\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u30bb\u30ab\u30f3\u30c8\u3068\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\uff08\u30bb\u30ab\u30f3\u30c8\u306e\u4e8c\u4e57\uff09\u306e\u95a2\u4fc2<\/h3>\n<p>\u6b21\u306b\u3001\u30bb\u30ab\u30f3\u30c8\u3092\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306b\u95a2\u9023\u4ed8\u3051\u308b\u4e09\u89d2\u95a2\u6570\u306e\u6052\u7b49\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u305d\u306e\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059: <strong>sec\u00b2 (\u03b1) = 1 + Tan\u00b2 (\u03b1)<\/strong> \u3002\u6b21\u306e\u56f3\u3067\u306f\u3001\u3053\u306e\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u3092\u69cb\u6210\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u30ea\u30de\u30a4\u30f3\u30c0\u30fc\u5f0f\u3068\u3001\u6700\u7d42\u7684\u306a\u5f0f\u306b\u5230\u9054\u3059\u308b\u307e\u3067\u306e\u624b\u9806\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"357\" height=\"637\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/relation-de-preuve-entre-secante-et-tangente.webp\" data-src=\"\" alt=\"\u30bb\u30ab\u30f3\u30c8\u3068\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306e\u95a2\u4fc2\u306e\u8a3c\u660e\" class=\"wp-image-7421 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Demostracion-relacion-entre-secante-y-tangente.png 357w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Demostracion-relacion-entre-secante-y-tangente-280x500.png 280w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u3053\u306e\u5834\u5408\u3001\u4e09\u89d2\u6bd4\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u4ed6\u306e\u6bd4\u3092\u6c42\u3081\u307e\u3059\u3002\u7d50\u8ad6\u3068\u3057\u3066\u3001sec\u00b2(\u03b1) = 1 + Tan\u00b2(\u03b1) \u3068\u8a00\u3048\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u30b3\u30bb\u30ab\u30f3\u30c8\u3068\u30b3\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\uff08\u30b3\u30bb\u30ab\u30f3\u30c8\u306e\u4e8c\u4e57\uff09\u306e\u95a2\u4fc2<\/h3>\n<p>\u30b3\u30bb\u30ab\u30f3\u30c8\u3068\u30b3\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306e\u5b9a\u7fa9\u304b\u3089\u3001\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306e\u516c\u5f0f\u306b\u30ea\u30f3\u30af\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u304a\u304b\u3052\u3067\u3001\u5225\u306e\u4e09\u89d2\u95a2\u6570\u6052\u7b49\u5f0f\u3001 <strong>cosec\u00b2 (\u03b1) = 1 + cotg\u00b2 (\u03b1) \u3092<\/strong>\u63a8\u5b9a\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"548\" height=\"752\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/relation-de-preuve-entre-cosecante-et-cotangente.webp\" data-src=\"\" alt=\"\u30b3\u30bb\u30ab\u30f3\u30c8\u3068\u30b3\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306e\u8a3c\u660e\u95a2\u4fc2\" class=\"wp-image-7425 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Demostracion-relacion-entre-cosecante-y-cotangente.png 548w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/03\/Demostracion-relacion-entre-cosecante-y-cotangente-364x500.png 364w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p>\u3053\u306e\u30c7\u30e2\u3067\u306f\u3001cosec\u00b2 (\u03b1) = 1 + cotg\u00b2 (\u03b1) \u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u3053\u306e\u95a2\u4fc2\u306f\u524d\u306e\u95a2\u4fc2\u3068\u3042\u308b\u7a0b\u5ea6\u306e\u985e\u4f3c\u6027\u304c\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u63a5\u7dda\u3068\u4f59\u63a5\u304c\u985e\u4f3c\u3057\u3066\u3044\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Razones_trigonometricas_del_angulo_suma_y_del_angulo_resta\">\u548c\u89d2\u3068\u6e1b\u7b97\u89d2\u306e\u4e09\u89d2\u6bd4<\/span><\/h2>\n<p><strong>\u89d2\u5ea6\u306e\u548c\u307e\u305f\u306f\u6e1b\u7b97\u306e\u6bd4\u306f\u3001<\/strong> 2 \u3064\u306e\u89d2\u5ea6\u306e\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u306e\u4e09\u89d2\u6bd4\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u6052\u7b49\u5f0f\u306e\u4e00\u7a2e\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u300190 + 60 \u306e\u30b5\u30a4\u30f3\u3092\u8a08\u7b97\u3057\u305f\u3044\u5834\u5408\u3001\u3053\u306e\u8a08\u7b97\u3092\u7c21\u5358\u306b\u3059\u308b\u4e00\u9023\u306e\u516c\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306f\u3001\u3053\u306e\u30b9\u30bf\u30a4\u30eb\u306e\u4e09\u89d2\u6052\u7b49\u5f0f\u306e\u3059\u3079\u3066\u306e\u516c\u5f0f\u306e\u30ea\u30b9\u30c8\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\u89d2\u5ea6\u306e\u5408\u8a08\u306e\u30b5\u30a4\u30f3: sin (\u03b1 + <em>\u03b2<\/em> ) = sin (\u03b1) cos ( <em>\u03b2<\/em> ) + cos ( <em>\u03b1<\/em> ) sin ( <em>\u03b2<\/em> )<\/p>\n<p class=\"has-text-align-center\">\u89d2\u5ea6\u6e1b\u7b97\u306e\u6b63\u5f26: sin (\u03b1 \u2013 <em>\u03b2<\/em> ) = sin (\u03b1) cos ( <em>\u03b2<\/em> ) \u2013 cos ( <em>\u03b1<\/em> ) sin ( <em>\u03b2<\/em> )<\/p>\n<p class=\"has-text-align-center\">\u89d2\u5ea6\u306e\u5408\u8a08\u306e\u30b3\u30b5\u30a4\u30f3: cos (\u03b1 + <em>\u03b2<\/em> ) = cos (\u03b1) cos ( <em>\u03b2<\/em> ) \u2013 sin ( <em>\u03b1<\/em> ) sin ( <em>\u03b2<\/em> )<\/p>\n<p class=\"has-text-align-center\">\u89d2\u4f59\u5f26\u306e\u6e1b\u7b97: cos (\u03b1 \u2013 <em>\u03b2<\/em> ) = cos (\u03b1) cos ( <em>\u03b2<\/em> ) + sin ( <em>\u03b1<\/em> ) sin ( <em>\u03b2<\/em> )<\/p>\n<p class=\"has-text-align-center\">\u89d2\u5ea6\u306e\u5408\u8a08\u306e\u6b63\u63a5: Tan (\u03b1 + <em>\u03b2<\/em> ) = (tan (\u03b1) + Tan ( <em>\u03b2<\/em> )) \u00f7 (1 \u2013 Tan (\u03b1) Tan ( <em>\u03b2<\/em> ))<\/p>\n<p class=\"has-text-align-center\">\u89d2\u6b63\u63a5\u306e\u6e1b\u7b97: Tan(\u03b1 \u2013 <em>\u03b2<\/em> ) = (tan(\u03b1) + Tan( <em>\u03b2<\/em> )) \u00f7(1 + Tan(\u03b1)tan( <em>\u03b2<\/em> ))<\/p>\n<p> 150\u00b0\u306e\u6b63\u5f26\u3092\u8a08\u7b97\u3059\u308b\u65b9\u304c\u3001\u5148\u307b\u3069\u8aac\u660e\u3057\u305f\u5f0f\u3092\u4f7f\u7528\u3057\u3066 (90\u00b0 + 60\u00b0) \u306e\u6b63\u5f26\u3092\u8a08\u7b97\u3059\u308b\u3088\u308a\u3082\u7c21\u5358\u3067\u3042\u308b\u3053\u3068\u306f\u660e\u3089\u304b\u3067\u3059\u3002\u3067\u306f\u3001\u306a\u305c\u3053\u308c\u3089\u306e\u516c\u5f0f\u304c\u91cd\u8981\u306a\u306e\u3067\u3057\u3087\u3046\u304b?\u7b54\u3048\u306f\u3001\u3053\u308c\u3089\u306e\u6052\u7b49\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u3088\u308a\u5358\u7d14\u306a\u89d2\u5ea6\u304b\u3089<strong>\u8907\u96d1\u306a\u89d2\u5ea6<\/strong>\u306e\u4e09\u89d2\u6bd4\u3092\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6ce8\u76ee\u3059\u3079\u304d\uff08\u6700\u3082\u95a2\u9023\u6027\u306e\u9ad8\u3044\uff09\u89d2\u5ea6\u306e\u6bd4\u7387\u3092\u8a18\u61b6\u3057\u3066\u304a\u3051\u3070\u3001150 \u5ea6\u306a\u3069\u306e\u3088\u308a\u8907\u96d1\u306a\u89d2\u5ea6\u306e\u6bd4\u7387\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u96fb\u5353\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Razones_trigonometricas_del_angulo_doble\">\u500d\u89d2\u4e09\u89d2\u6bd4<\/span><\/h2>\n<p><strong>\u500d\u89d2 (2\u03b1) \u306e\u4e09\u89d2\u6bd4\u3092<\/strong>\u8a08\u7b97\u3057\u305f\u3044\u5834\u5408\u3001\u4e00\u9023\u306e\u6052\u7b49\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001\u524d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u8aac\u660e\u3057\u305f\u3082\u306e\u3068\u975e\u5e38\u306b\u3088\u304f\u4f3c\u305f\u6570\u5f0f\u3092\u901a\u3058\u3066\u3053\u308c\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <em>\u03b2<\/em>\u3092 \u03b1 \u306b\u5909\u66f4\u3059\u308b\u3068\u3001\u524d\u306e\u5f0f\u3067\u306f (\u03b1 + \u03b1) \u304c\u6b8b\u308a\u3001\u3053\u308c\u306f (2\u03b1) \u306b\u76f8\u5f53\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u5ff5\u982d\u306b\u7f6e\u304f\u3068\u3001\u6b21\u306e\u6052\u7b49\u5f0f\u3092\u5c0e\u304d\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"307\" height=\"172\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/rapports-trigonometriques-a-double-angle.webp\" data-src=\"\" alt=\"\u500d\u89d2\u4e09\u89d2\u6bd4\" class=\"wp-image-7432 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4ee5\u4e0b\u306e\u30c7\u30e2\u3092\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\u500d\u89d2\u306e\u6b63\u5f26: sin (2\u03b1) = sin (\u03b1) cos (\u03b1) + cos (\u03b1) sin (\u03b1) = 2 sin (\u03b1) cos (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u500d\u89d2\u306e\u4f59\u5f26: cos (\u03b1 + <em>\u03b1<\/em> ) = cos (\u03b1) cos ( <em>\u03b1<\/em> ) \u2013 sin ( <em>\u03b1<\/em> ) sin ( <em>\u03b1<\/em> ) = cos\u00b2 (\u03b1) \u2013 sin\u00b2 (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u4e8c\u91cd\u63a5\u7dda\u89d2\u5ea6:tan (2\u03b1) = 2 Tan (\u03b1) \u00f7 (1 \u2013 Tan\u00b2 (\u03b1))<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Razones_trigonometricas_del_angulo_mitad\">\u534a\u89d2\u306e\u4e09\u89d2\u6bd4<\/span><\/h2>\n<p>\u307e\u305f\u3001<strong>\u534a\u89d2 (\u03b1\/2) \u306e\u4e09\u89d2\u6bd4\u3092<\/strong>\u8a08\u7b97\u3067\u304d\u308b\u6052\u7b49\u5f0f\u3082\u3042\u308a\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"295\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/rapports-trigonometriques-du-demi-angle.webp\" data-src=\"\" alt=\"\u534a\u89d2\u306e\u4e09\u89d2\u6bd4\" class=\"wp-image-7431 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3059\u3067\u306b\u77e5\u3089\u308c\u3066\u3044\u308b\u5f0f\u3068\u3057\u3066\u306f\u6b21\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> 1 = sin\u00b2( <em>\u03b2<\/em> ) + cos\u00b2( <em>\u03b2<\/em> )<\/p>\n<p class=\"has-text-align-center\"> cos( <em>2\u03b2<\/em> ) = cos\u00b2( <em>\u03b2<\/em> ) \u2013 sin\u00b2( <em>\u03b2<\/em> )<\/p>\n<p> <em>\u03b2<\/em> = \u03b1\/2 \u3068\u3059\u308c\u3070\u3001\u30b5\u30a4\u30f3\u306e\u5834\u5408\u306f 2 \u3064\u306e\u5f0f\u3092\u5f15\u304d\u3001\u30b3\u30b5\u30a4\u30f3\u306e\u5834\u5408\u306f\u8db3\u3057\u3001\u5f97\u3089\u308c\u305f 2 \u3064\u306e\u5f0f (\u30b5\u30a4\u30f3\u3068\u30b3\u30b5\u30a4\u30f3\u306e\u5f0f) \u3092\u5272\u308b\u3053\u3068\u3067\u3001\u3053\u308c\u3089\u306e\u6052\u7b49\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306e\u5834\u5408\u3002\u305f\u3060\u3057\u3001\u4ee5\u4e0b\u3067\u5f97\u3089\u308c\u308b\u5f0f\u3067\u8a08\u7b97\u3057\u305f\u3044<strong>\u6bd4\u7387\u3092\u5206\u96e2\u3059\u308b\u3053\u3068\u304c<\/strong>\u6b8b\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\u6b63\u5f26\u534a\u89d2: 1 \u2013 cos (\u03b1) = 2 sin\u00b2 (\u03b1\/2); sin\u00b2 (\u03b1\/2) = (1 \u2013 cos (\u03b1)) \u00f7 2<\/p>\n<p class=\"has-text-align-center\">\u534a\u89d2\u4f59\u5f26: 1 + cos (\u03b1) = 2 cos\u00b2 (\u03b1\/2); cos\u00b2 (\u03b1\/2) = (1 + cos (\u03b1)) \u00f7 2<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Razones_trigonometricas_del_angulo_triple\">\u4e09\u91cd\u89d2\u306e\u4e09\u89d2\u6bd4<\/span><\/h2>\n<p><strong>\u4e09\u91cd\u89d2 (3\u03b1)<\/strong>\u304c\u3042\u308b\u5834\u5408\u3001\u7279\u5b9a\u306e\u6052\u7b49\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u4e09\u89d2\u6bd4\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6052\u7b49\u5f0f\u306f\u3001\u65e2\u306b\u8aac\u660e\u3057\u305f\u6b21\u306e\u516c\u5f0f\u3001\u3064\u307e\u308a\u500d\u89d2\u306e\u6052\u7b49\u5f0f\u3001\u548c\u89d2\u306e\u6052\u7b49\u5f0f\u3001\u304a\u3088\u3073\u4e09\u89d2\u6cd5\u306e\u57fa\u672c\u7684\u306a\u6052\u7b49\u5f0f\u304b\u3089\u5f97\u3089\u308c\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"311\" height=\"174\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/rapports-trigonometriques-de-langle-triple.webp\" data-src=\"\" alt=\"\u4e09\u91cd\u89d2\u306e\u4e09\u89d2\u6bd4\" class=\"wp-image-7433 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u3053\u308c\u3089\u306e\u540c\u4e00\u6027\u3092\u8a3c\u660e\u3059\u308b\u306b\u306f\u3001\u89d2\u5ea6\u306e\u5408\u8a08\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\u89d2\u5ea6\u306e\u5408\u8a08\u306e\u6b63\u5f26: sin (3\u03b1) = sin (\u03b1 + 2\u03b1) = sin (\u03b1) cos (2\u03b1) + sin (2\u03b1) cos (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u89d2\u5ea6\u306e\u5408\u8a08\u306e\u30b3\u30b5\u30a4\u30f3: cos (3\u03b1) = cos (\u03b1 + 2\u03b1) = cos (\u03b1) cos (2\u03b1) \u2013 sin (\u03b1) sin (2\u03b1)<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u4eca\u8a71\u3057\u305f\u5f0f\u306b\u500d\u89d2\u306e\u516c\u5f0f\u3092\u9069\u7528\u3057\u3001\u4e09\u89d2\u6cd5\u306e\u57fa\u672c\u7684\u306a\u6052\u7b49\u5f0f\u3092\u9069\u7528\u3059\u308c\u3070\u3001\u6052\u7b49\u5f0f\u3092\u8a3c\u660e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u57fa\u672c\u7684\u306a\u4e09\u89d2\u95a2\u6570\u306e\u6052\u7b49\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u5f0f\u5185\u306e\u3059\u3079\u3066\u306e\u6bd4\u7387\u3092 1 \u3064\u306b\u5909\u63db\u3067\u304d\u308b\u3053\u3068\u306b\u8a00\u53ca\u3059\u308b\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002\u4e09\u91cd\u89d2\u306e\u30b5\u30a4\u30f3\u306e\u516c\u5f0f\u304c\u30b5\u30a4\u30f3\u306e\u307f\u3067\u69cb\u6210\u3055\u308c\u3001\u30b3\u30b5\u30a4\u30f3\u306e\u516c\u5f0f\u304c\u30b3\u30b5\u30a4\u30f3\u306e\u307f\u3092\u542b\u3080\u306e\u306f\u3053\u306e\u305f\u3081\u3067\u3059\u3002\u4ee5\u4e0b\u306b\u5b8c\u5168\u306a\u624b\u9806\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> 3 \u500d\u89d2\u306e\u6b63\u5f26: sin (3\u03b1) = sin (\u03b1 + 2\u03b1) = sin (\u03b1) cos (2\u03b1) + sin (2\u03b1) cos (\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = sin (\u03b1) (cos\u00b2 (\u03b1) \u2013 sin\u00b2 (\u03b1)) + 2 sin (\u03b1) cos (\u03b1) cos (\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = sin (\u03b1) cos\u00b2 (\u03b1) \u2013 sin\u00b3 (\u03b1) + 2 sin (\u03b1) cos\u00b2 (\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = sin (\u03b1) \u00b7 (1 \u2013 sin\u00b2 (\u03b1)) \u2013 sin\u00b3 (\u03b1) + 2 sin (\u03b1) \u00b7 (1 \u2013 sin\u00b2 (\u03b1)) =<\/p>\n<p class=\"has-text-align-center\"> = sin (\u03b1) &#8211; sin3 (\u03b1) &#8211; sin3 (\u03b1) + 2 sin (\u03b1) &#8211; 2 sin3 (\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = 3 sin (\u03b1) \u2013 4 sin3 (\u03b1)<\/p>\n<p class=\"has-text-align-center\"> 3 \u500d\u89d2\u306e\u4f59\u5f26: cos (3\u03b1) = cos (\u03b1 + 2\u03b1) = cos (\u03b1) cos (2\u03b1) \u2013 sin (\u03b1) sin (2\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = cos (\u03b1) (cos\u00b2 (\u03b1) \u2013 sin\u00b2 (\u03b1)) \u2013 sin (\u03b1) 2 sin (\u03b1) cos (\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = cos3 (\u03b1) \u2013 cos (\u03b1) sin\u00b2 (\u03b1) \u2013 2 cos (\u03b1) sin\u00b2 (\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = cos3 (\u03b1) \u2013 3 cos (\u03b1) sin2 (\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = cos3 (\u03b1) \u2013 3 cos (\u03b1) \u00b7 (1 \u2013 cos2 (\u03b1)) =<\/p>\n<p class=\"has-text-align-center\"> = cos3 (\u03b1) \u2013 3 cos (\u03b1) + 3 cos3 (\u03b1) =<\/p>\n<p class=\"has-text-align-center\"> = 4 cos3 (\u03b1) \u2013 3 cos (\u03b1)<\/p>\n<p>\u6700\u5f8c\u306b\u3001 <strong>3 \u500d\u89d2\u306e\u6b63\u63a5\u306f<\/strong>2 \u3064\u306e\u65b9\u6cd5\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u30021 \u3064\u76ee\u306f\u30b5\u30a4\u30f3\u516c\u5f0f\u3092\u30b3\u30b5\u30a4\u30f3\u516c\u5f0f\u3067\u5272\u308b\u65b9\u6cd5\u3067\u30012 \u3064\u76ee\u306f 2 \u500d\u89d2\u306e\u30bf\u30f3\u30b8\u30a7\u30f3\u30c8\u306e\u5f0f\u3092\u6b21\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u6b21\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3059\u3002\u5408\u8a08\u89d2\u5ea6: Tan (\u03b1 + 2\u03b1) = (tan (\u03b1) + Tan (2\u03b1)) \u00f7 (1 \u2013 Tan (\u03b1) Tan (2\u03b1))\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Identidades_trigonometricas_segun_el_tipo_de_angulo\">\u89d2\u5ea6\u306e\u7a2e\u985e\u306b\u5fdc\u3058\u305f\u4e09\u89d2\u6052\u7b49\u5f0f<\/span><\/h2>\n<p>\u4e09\u89d2\u6bd4\u306e<strong>\u76f4\u63a5\u304b\u3064\u8fc5\u901f\u306a<\/strong>\u8a08\u7b97\u3092\u53ef\u80fd\u306b\u3059\u308b\u3042\u308b\u610f\u5473\u30eb\u30fc\u30eb\u3067\u3042\u308b\u4e00\u9023\u306e\u516c\u5f0f\u306b\u3064\u3044\u3066\u30b3\u30e1\u30f3\u30c8\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u5b9f\u969b\u3001\u3053\u308c\u3089\u306f\u4eca\u8aac\u660e\u3057\u305f\u3059\u3079\u3066\u306e\u5f0f\u3068\u540c\u3058\u7279\u6027\u3092\u6e80\u305f\u3059\u305f\u3081\u3001\u4e09\u89d2\u6052\u7b49\u5f0f\u3068\u307f\u306a\u3059\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001\u3053\u308c\u3089\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u3042\u308b\u89d2\u5ea6\u3068\u5225\u306e\u89d2\u5ea6\u3068\u306e\u95a2\u4fc2\u304b\u3089\u3001\u305d\u306e\u89d2\u5ea6\u306e\u4e09\u89d2\u95a2\u4fc2\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u88dc\u89d2<\/h3>\n<p><strong>\u88dc\u89d2<\/strong>(\u03b1 \u3068<em>\u03b2<\/em> ) \u306f\u5408\u8a08\u304c 90 \u5ea6\u306b\u7b49\u3057\u3044\u305f\u3081\u3001\u305d\u308c\u3089\u3092\u52a0\u7b97\u3059\u308b\u3068\u76f4\u89d2\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 \u03b1 \u304c<em>\u03b2<\/em>\u306e\u88dc\u89d2\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b\u306b\u306f\u3001\u975e\u5e38\u306b\u5358\u7d14\u306a\u65b9\u7a0b\u5f0f \u03b1 = 90 \u2013 <em>\u03b2<\/em>\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u7b49\u4fa1\u6027\u306e\u7d50\u679c\u304c\u4e00\u81f4\u3059\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u304c\u76f8\u88dc\u7684\u3067\u3042\u308b\u3068\u65ad\u8a00\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6052\u7b49\u5f0f\u306e\u304a\u304b\u3052\u3067\u3001\u3042\u308b\u89d2\u5ea6\u306e\u4e09\u89d2\u6bd4\u3092\u4ed6\u306e\u89d2\u5ea6\u306e\u4e09\u89d2\u6bd4\u304b\u3089\u63a8\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\u4f59\u89d2\u306e\u30b5\u30a4\u30f3\uff1asin (90\u00b0 \u2013 \u03b1) = cos (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u4f59\u89d2\u306e\u4f59\u5f26: cos (90\u00b0 \u2013 \u03b1) = sin (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u88dc\u89d2\u306e\u6b63\u63a5\uff1atan(90\u00b0 \u2013 \u03b1) = cotan (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u88dc\u89d2\u306e\u30b3\u30bb\u30ab\u30f3\u30c8: cosec (90\u00b0 \u2013 \u03b1) = sec (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u4f59\u89d2\u306e\u6b63\u5272: sec (90\u00b0 \u2013 \u03b1) = cosec (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u88dc\u89d2\u306e\u4f59\u63a5: cotan (90\u00b0 \u2013 \u03b1) = Tan (\u03b1)<\/p>\n<h3 class=\"wp-block-heading\">\u8ffd\u52a0\u306e\u89d2\u5ea6<\/h3>\n<p><strong>\u88dc\u52a9\u89d2<\/strong>(\u03b1 \u3068<em>\u03b2<\/em> ) \u306f\u3001\u5408\u8a08\u304c 180\u00b0 \u307e\u305f\u306f \u03c0 \u30e9\u30b8\u30a2\u30f3\u306b\u7b49\u3057\u3044\u89d2\u5ea6\u3067\u3042\u308b\u305f\u3081\u3001\u5f0f \u03b1 + <em>\u03b2<\/em> = 180\u00b0 \u3092\u63a8\u5b9a\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u03b1 \u306e\u88dc\u89d2\u3092<em>\u03b2<\/em>\u3068\u3059\u308b\u3068\u3001\u6b21\u5f0f<em>\u03b2<\/em> = 180 \u2013 <em>\u03b1<\/em>\u3092\u6e80\u305f\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u6b21\u306b\u3001\u3053\u308c\u3089\u306e\u89d2\u5ea6\u304b\u3089\u63a8\u5b9a\u3067\u304d\u308b\u30a2\u30a4\u30c7\u30f3\u30c6\u30a3\u30c6\u30a3\u306e\u30ea\u30b9\u30c8\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\u88dc\u89d2\u306e\u6b63\u5f26\uff1asin (180\u00b0 \u2013 \u03b1) = sin (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u8ffd\u52a0\u89d2\u306e\u4f59\u5f26: cos (180\u00b0 \u2013 \u03b1) = -cos (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u88dc\u52a9\u89d2\u306e\u6b63\u63a5\uff1atan (180\u00b0 \u2013 \u03b1) = -tan (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u8ffd\u52a0\u89d2\u306e\u30b3\u30bb\u30ab\u30f3\u30c8: cosec (180\u00b0 \u2013 \u03b1) = cosec (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u88dc\u52a9\u89d2\u306e\u6b63\u5272\uff1asec (180\u00b0 \u2013 \u03b1) = -sec (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u88dc\u89d2\u306e\u4f59\u63a5: cotan (180\u00b0 \u2013 \u03b1) = -cotan (\u03b1)<\/p>\n<h3 class=\"wp-block-heading\">\u5171\u5f79\u89d2<\/h3>\n<p><strong>\u5171\u5f79\u89d2<\/strong>(\u03b1 \u3068<em>\u03b2<\/em> ) \u306f\u3001\u5408\u8a08\u304c 360\u00b0 \u307e\u305f\u306f 2\u03c0 \u30e9\u30b8\u30a2\u30f3\u306b\u7b49\u3057\u3044\u89d2\u5ea6\u3067\u3059\u3002\u3053\u308c\u304c\u3001\u5f0f \u03b1 + <em>\u03b2<\/em> = 360\u00b0 \u3092\u63a8\u5b9a\u3067\u304d\u308b\u7406\u7531\u3067\u3059\u3002\u3053\u306e\u6700\u521d\u306e\u5f0f\u304b\u3089\u3001\u4e00\u65b9\u306e\u89d2\u5ea6\u3092\u3082\u3046\u4e00\u65b9\u306e\u89d2\u5ea6\u3067\u6b21\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059: \u03b1 = 360\u00b0 \u2013 <em>\u03b2<\/em>\u307e\u305f\u306f<em>\u03b2<\/em> = 360\u00b0 \u2013 \u03b1\u3002\u3053\u3053\u3067\u3001\u5171\u5f79\u89d2\u306e\u7b49\u5f0f\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\u5171\u5f79\u89d2\u306e\u30b5\u30a4\u30f3: sin (360\u00b0 \u2013 \u03b1) = \u2013 sin (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u5171\u5f79\u89d2\u306e\u4f59\u5f26: cos (360\u00b0 \u2013 \u03b1) = cos (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u5171\u5f79\u89d2\u306e\u6b63\u63a5:tan (360\u00b0 \u2013 \u03b1) = \u2013 Tan (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u5171\u5f79\u89d2\u306e\u30b3\u30bb\u30ab\u30f3\u30c8: cosec (360\u00b0 \u2013 \u03b1) = \u2013 cosec (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u5171\u5f79\u89d2\u306e\u6b63\u5272: \u79d2 (360\u00b0 \u2013 \u03b1) = \u79d2 (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u5171\u5f79\u89d2\u306e\u4f59\u63a5: cotan (360\u00b0 \u2013 \u03b1) = \u2013 cotan (\u03b1)<\/p>\n<h3 class=\"wp-block-heading\">\u53cd\u5bfe\u306e\u89d2\u5ea6<\/h3>\n<p><strong>\u53cd\u5bfe\u306e\u89d2\u5ea6<\/strong>\u307e\u305f\u306f<strong>\u8ca0\u306e\u89d2\u5ea6<\/strong>(\u03b1 \u3068<em>\u03b2<\/em> ) \u306f\u3001\u6570\u5024\u306f\u540c\u3058\u3067\u3059\u304c\u3001\u7b26\u53f7\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u30bf\u30a4\u30d7\u306e\u89d2\u5ea6\u306e\u4f8b\u306f\u300130 \u5ea6\u3068 -30 \u5ea6\u3067\u3059\u3002\u8ca0\u306e\u7b26\u53f7\u306f\u56de\u8ee2\u304c\u6642\u8a08\u56de\u308a\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3001\u6b63\u306e\u89d2\u5ea6\u306f\u53cd\u6642\u8a08\u56de\u308a\u306b\u56de\u8ee2\u3059\u308b\u3053\u3068\u3092\u899a\u3048\u3066\u304a\u3044\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p class=\"has-text-align-center\">\u9006\u306e\u89d2\u5ea6\u306e\u6b63\u5f26: sin (-\u03b1) = \u2013 sin (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u53cd\u5bfe\u89d2\u306e\u4f59\u5f26: cos (-\u03b1) = cos (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u5bfe\u89d2\u306e\u6b63\u63a5\uff1atan (-\u03b1) = \u2013 Tan (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u53cd\u5bfe\u89d2\u306e\u30b3\u30bb\u30ab\u30f3\u30c8: cosec (-\u03b1) = \u2013 cosec (\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u9006\u89d2\u306e\u6b63\u5272\uff1asec(-\u03b1) = sec(\u03b1)<\/p>\n<p class=\"has-text-align-center\">\u53cd\u5bfe\u89d2\u306e\u4f59\u63a5: cotan (-\u03b1) = \u2013 cotan (\u03b1)<\/p>\n<h3 class=\"wp-block-heading\"> 90\u00b0\u4ee5\u5916\u306e\u89d2\u5ea6\u3001\u307e\u305f\u306f\u89d2\u5ea6\u30d7\u30e9\u30b9\/\u30de\u30a4\u30ca\u30b9\u03c0\/2<\/h3>\n<p> <strong>90 \u5ea6\u7570\u306a\u308b\u89d2\u5ea6<\/strong>\u3001\u307e\u305f\u306f<strong>\u89d2\u5ea6\u30d7\u30e9\u30b9\/\u30de\u30a4\u30ca\u30b9 \u03c0\/2<\/strong> (\u03b1 \u304a\u3088\u3073<em>\u03b2<\/em> ) \u306f\u300190 \u5ea6\u306e\u5dee\u304c\u3042\u308b\u89d2\u5ea6\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u3089\u306f<em>\u03b2<\/em> \u2013 <em>\u03b1<\/em> = 90\u00b0 \u3068\u3057\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u3001 <em>\u03b2<\/em>\u306f<em>\u03b1<\/em>\u3088\u308a 90\u00b0 \u5927\u304d\u304f\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u89d2\u5ea6\u306b\u306f\u30012 \u3064\u306e\u89d2\u5ea6\u306e\u4e09\u89d2\u6bd4\u3092\u95a2\u9023\u4ed8\u3051\u308b\u4e00\u9023\u306e\u516c\u5f0f\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> 90\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u30b5\u30a4\u30f3\uff1asin (90\u00b0 + \u03b1) = cos (\u03b1)<\/p>\n<p class=\"has-text-align-center\"> 90\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u4f59\u5f26: cos (90\u00b0 + \u03b1) = -sin (\u03b1)<\/p>\n<p class=\"has-text-align-center\"> 90\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u6b63\u63a5\uff1atan (90\u00b0 + \u03b1) = \u2013 cotan (\u03b1)<\/p>\n<p class=\"has-text-align-center\"> 90\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u30b3\u30bb\u30ab\u30f3\u30c8: cosec (90\u00b0 + \u03b1) = sec (\u03b1)<\/p>\n<p class=\"has-text-align-center\"> 90\u00b0\u3068\u7570\u306a\u308b\u89d2\u5ea6\u306e\u6b63\u5272\uff1asec (90\u00b0 + \u03b1) = -cosec (\u03b1)<\/p>\n<p class=\"has-text-align-center\"> 90\u00b0\u3068\u7570\u306a\u308b\u89d2\u5ea6\u306e\u4f59\u63a5: cotan (90\u00b0 + \u03b1) = -cotan (\u03b1)<\/p>\n<h3 class=\"wp-block-heading\"> 180\u00b0\u307e\u305f\u306f\u00b1\u03c0\u4ee5\u5916\u306e\u89d2\u5ea6<\/h3>\n<p><strong>\u30d7\u30e9\u30b9\/\u30de\u30a4\u30ca\u30b9\u306e\u89d2\u5ea6 \u03c0<\/strong> (\u03b1 \u3068<em>\u03b2<\/em> ) \u306f\u3001180 \u5ea6\u7570\u306a\u308b\u89d2\u5ea6\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u308c\u3089\u306f\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059: <em>\u03b2<\/em> \u2013 <em>\u03b1<\/em> = 180\u00b0 ( <em>\u03b2<\/em> 180\u00b0 \u306f<em>\u03b1<\/em>\u3088\u308a\u5927\u304d\u304f\u306a\u308a\u307e\u3059)\u3002\u6b21\u306b\u3001\u3053\u308c\u3089\u306e\u89d2\u5ea6\u306e\u4e09\u89d2\u6bd4\u3092\u95a2\u9023\u4ed8\u3051\u308b\u4e09\u89d2\u6052\u7b49\u5f0f\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> 180\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u6b63\u5f26: sin (180\u00b0 + <em>\u03b1<\/em> ) = -sin ( <em>\u03b1<\/em> )<\/p>\n<p class=\"has-text-align-center\"> 180\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u4f59\u5f26: cos (180\u00b0 + <em>\u03b1<\/em> ) = -cos ( <em>\u03b1<\/em> )<\/p>\n<p class=\"has-text-align-center\"> 180\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u6b63\u63a5:tan (180\u00b0 + <em>\u03b1<\/em> ) = Tan ( <em>\u03b1<\/em> )<\/p>\n<p class=\"has-text-align-center\"> 180\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u4f59\u5272: cosec (180\u00b0 + <em>\u03b1<\/em> ) = -cosec ( <em>\u03b1<\/em> )<\/p>\n<p class=\"has-text-align-center\"> 180\u00b0\u3068\u7570\u306a\u308b\u89d2\u5ea6\u306e\u6b63\u5272: \u79d2 (180\u00b0 + <em>\u03b1<\/em> ) = -\u79d2 ( <em>\u03b1<\/em> )<\/p>\n<p class=\"has-text-align-center\"> 180\u00b0\u3068\u306f\u7570\u306a\u308b\u89d2\u5ea6\u306e\u4f59\u63a5: cotan (180\u00b0 + <em>\u03b1<\/em> ) = cotan ( <em>\u03b1<\/em> )<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Transformaciones_de_razones_trigonometricas\">\u4e09\u89d2\u6bd4\u306e\u5909\u63db<\/span><\/h2>\n<p>\u6700\u5f8c\u306b\u3001<strong>\u4ed6\u306e\u6f14\u7b97<\/strong>\u306b\u3088\u3063\u3066\u7279\u5b9a\u306e\u4e09\u89d2\u6bd4\u3092\u8868\u73fe\u3067\u304d\u308b\u4e09\u89d2\u6052\u7b49\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6bd4\u7387\u306e\u5408\u8a08\u304c\u3042\u308a\u3001\u305d\u308c\u3092\u7a4d\u3068\u3057\u3066\u8868\u73fe\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u3053\u308c\u3089\u306e\u516c\u5f0f\u306b\u983c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6b8b\u5ff5\u306a\u304c\u3089\u3001\u3059\u3079\u3066\u306e\u7b97\u8853\u6f14\u7b97\u306b\u5bfe\u5fdc\u3059\u308b\u5f0f\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001<strong>\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u304b\u3089\u7a4d\u3078\u3001\u307e\u305f\u306f\u305d\u306e\u9006<\/strong>\u306e\u307f\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3092\u7a4d\u306b\u5909\u63db\u3059\u308b<\/h3>\n<p>\u6b21\u306e 4 \u3064\u306e\u516c\u5f0f\u306f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u52a0\u7b97\u3068\u6e1b\u7b97\u3092\u8a08\u7b97\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"463\" height=\"298\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/convertir-laddition-ou-la-soustraction-en-produit.webp\" data-src=\"\" alt=\"\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3092\u7a4d\u306b\u5909\u63db\u3059\u308b\" class=\"wp-image-7442 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u7a4d\u3092\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u306b\u5909\u63db\u3057\u307e\u3059<\/h3>\n<p>\u6b21\u306e 4 \u3064\u306e\u516c\u5f0f\u306f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"276\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/transformer-le-produit-en-addition-ou-soustraction.webp\" data-src=\"\" alt=\"\u7a4d\u3092\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u306b\u5909\u63db\u3057\u307e\u3059\" class=\"wp-image-7440 lazyload\" srcset=\"\" sizes=\"auto, 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