{"id":11420,"date":"2022-12-04T14:48:35","date_gmt":"2022-12-04T05:48:35","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=11420"},"modified":"2022-12-07T04:59:07","modified_gmt":"2022-12-06T19:59:07","slug":"trigonometric-equations7","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/trigonometric-equations7.html","title":{"rendered":"\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\uff1a\u516c\u5f0f\u306e\u8a3c\u660e\u3001\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024"},"content":{"rendered":"\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001sin\u03b8\u3068cos\u03b8\u306e\u8db3\u3057\u7b97\u3092sin\u03b8\u306e\u307f\u306e\u5f0f\uff08\u307e\u305f\u306fcos\u03b8\u306e\u307f\u306e\u5f0f\uff09\u3078\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4e09\u89d2\u95a2\u6570\u306e\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>sin\u03b8\u3068cos\u03b8\u306e\u8db3\u3057\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u4e09\u89d2\u95a2\u6570\u306e\u548c\u3068\u7a4d\u306e\u516c\u5f0f\u3092\u5229\u7528\u3067\u304d\u307e\u3059\u3002\u305f\u3060\u3001\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u306b\u3088\u308b\u5f0f\u306e\u5909\u5f62\u3082\u3067\u304d\u308b\u306e\u3067\u3059\u3002\u306a\u304a\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3092\u899a\u3048\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u306a\u304a\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3068\u304d\u3001\u4e09\u89d2\u65b9\u7a0b\u5f0f\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u3082\u4fbf\u5229\u3067\u3059\u3002sin\u03b8\u307e\u305f\u306fcos\u03b8\u3078\u307e\u3068\u3081\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u306e\u8a08\u7b97\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3092\u899a\u3048\u305a\u306b\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u307e\u305f\u3001\u3069\u306e\u3088\u3046\u306b\u516c\u5f0f\u3092\u7528\u3044\u3066\u4e09\u89d2\u65b9\u7a0b\u5f0f\u306e\u8a08\u7b97\u3092\u3059\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u65b9\u6cd5\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3068\u8a08\u7b97\u65b9\u6cd5<\/h2>\n<p>\u4e09\u89d2\u95a2\u6570\u3067\u306f\u8907\u6570\u306e\u516c\u5f0f\u3092\u5b66\u3076\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u306e\u4e00\u3064\u304c\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3067\u3059\u3002\u4ee5\u4e0b\u304c\u516c\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(a\u00b7sin\u03b8+b\u00b7cos\u03b8=\\sqrt{a^2+b^2}\\)\\(sin(\u03b8+\u03b1)\\)<\/li>\n<\/ul>\n<p>\u203b\\(sin\u03b1=\\displaystyle\\frac{b}{\\sqrt{a^2+b^2}}\\)\u3001\\(cos\u03b1=\\displaystyle\\frac{a}{\\sqrt{a^2+b^2}}\\)<\/p>\n<p>\u3053\u308c\u304c\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3067\u3059\u3002<\/p>\n<h3>\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u306e\u8a3c\u660e<\/h3>\n<p>\u305f\u3060\u3001\u516c\u5f0f\u3092\u898b\u3066\u3082\u610f\u5473\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u516c\u5f0f\u306e\u8a3c\u660e\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5148\u307b\u3069\u306e\u516c\u5f0f\u304c\u4f55\u3092\u8868\u3057\u3066\u3044\u308b\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u307e\u305a\u3001\u4ee5\u4e0b\u306e\u56f3\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/oej2.jpg\" alt=\"\" width=\"471\" height=\"282\" class=\"aligncenter size-full wp-image-11422\" \/><\/p>\n<p>\u203b\u56f3\u3088\u308a\u3001\\(sin\u03b1=\\displaystyle\\frac{b}{\\sqrt{a^2+b^2}}\\)\u3001\\(cos\u03b1=\\displaystyle\\frac{a}{\\sqrt{a^2+b^2}}\\)\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u70b9P\u306e\u5ea7\u6a19\u3092\\((a,b)\\)\u3001OP\u306e\u9577\u3055\u3092\\(r\\)\u3068\u3059\u308b\u3068\u3001\\(r=\\sqrt{a^2+b^2}\\)\u3067\u3059\u3002\u307e\u305f\u56f3\u3088\u308a\u3001\\(a=r\u00b7cos\u03b1\\)\u3067\u3042\u308a\u3001\\(b=r\u00b7sin\u03b1\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u8a08\u7b97\u306e\u9014\u4e2d\u3067\u52a0\u6cd5\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(a\u00b7sin\u03b8+b\u00b7cos\u03b8\\)<\/p>\n<p>\\(=r\u00b7cos\u03b1sin\u03b8+r\u00b7sin\u03b1cos\u03b8\\)<\/p>\n<p>\\(=r(sin\u03b8cos\u03b1+cos\u03b8sin\u03b1)\\)<\/p>\n<p>\\(=\\sqrt{a^2+b^2}(sin\u03b8cos\u03b1+cos\u03b8sin\u03b1)\\)<\/p>\n<p>\\(=\\sqrt{a^2+b^2}sin(\u03b8+\u03b1)\\)<\/p>\n<p>\u56f3\u5f62\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u516c\u5f0f\u3092\u8a3c\u660e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h3>\u52a0\u6cd5\u5b9a\u7406\u306e\u9006\u3092\u5229\u7528\u3057\u3001\u516c\u5f0f\u3092\u899a\u3048\u305a\u306b\u5408\u6210\u3059\u308b<\/h3>\n<p>\u306a\u304a\u4e09\u89d2\u95a2\u6570\u3092\u5b66\u3076\u3068\u304d\u3001\u591a\u304f\u306e\u516c\u5f0f\u3092\u899a\u3048\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u3088\u3046\u306b\u8003\u3048\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u305f\u3060\u5b9f\u969b\u306b\u306f\u516c\u5f0f\u3092\u4f5c\u308c\u308b\u305f\u3081\u3001\u899a\u3048\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u4e8b\u5b9f\u3001\u52a0\u6cd5\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u30012\u500d\u89d2\u306e\u516c\u5f0f\u3084\u534a\u89d2\u306e\u516c\u5f0f\u30013\u500d\u89d2\u306e\u516c\u5f0f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u548c\u3068\u7a4d\u306e\u516c\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u306b\u3064\u3044\u3066\u3082\u3001\u52a0\u6cd5\u5b9a\u7406\u3092\u7528\u3044\u3066\u4f5c\u308c\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u516c\u5f0f\u3092\u899a\u3048\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u52a0\u6cd5\u5b9a\u7406\u3092\u7528\u3044\u3066\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u307e\u305f\u3053\u306e\u65b9\u6cd5\u306e\u307b\u3046\u304c\u3001\u56f3\u3092\u7528\u3044\u3066\u8a08\u7b97\u3059\u308b\u3088\u308a\u3082\u8a08\u7b97\u30df\u30b9\u304c\u5c11\u306a\u3044\u3067\u3059\u3002<\/p>\n<p>\u65b9\u6cd5\u3068\u3057\u3066\u306f\u3001\u5148\u307b\u3069\u3068\u540c\u69d8\u306b<span style=\"color: #ff0000;\">\u52a0\u6cd5\u5b9a\u7406\u306e\u9006\u3092\u5229\u7528\u3057\u3066\u516c\u5f0f\u3092\u5c0e\u51fa\u3057\u307e\u3059\u3002<\/span>\u305f\u3060\u3001\u8a08\u7b97\u904e\u7a0b\u304c\u5c11\u3057\u7570\u306a\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(a\u00b7sin\u03b8+b\u00b7cos\u03b8\\)<\/p>\n<p>\\(=\\sqrt{a^2+b^2}\\)\\(\\left(\\displaystyle\\frac{a}{\\sqrt{a^2+b^2}}sin\u03b8+\\displaystyle\\frac{b}{\\sqrt{a^2+b^2}}cos\u03b8\\right)\\)<\/p>\n<p>\\(=\\sqrt{a^2+b^2}(sin\u03b8cos\u03b1+cos\u03b8sin\u03b1)\\)<\/p>\n<p>\\(=\\sqrt{a^2+b^2}sin(\u03b8+\u03b1)\\)<\/p>\n<p><span style=\"color: #0000ff;\">\u8a08\u7b97\u306e\u6700\u521d\u306b\\(\\sqrt{a^2+b^2}\\)\u3092\u5229\u7528\u3057\u3066\u3001\u5168\u4f53\u3092\u62ec\u3063\u3066\u3044\u307e\u3059\u3002<\/span>\u307e\u305f\\(sin\u03b1=\\displaystyle\\frac{b}{\\sqrt{a^2+b^2}}\\)\u3001\\(cos\u03b1=\\displaystyle\\frac{a}{\\sqrt{a^2+b^2}}\\)\u306b\u52a0\u3048\u3001\u52a0\u6cd5\u5b9a\u7406\u306e\u9006\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u516c\u5f0f\u3092\u5c0e\u51fa\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>\u6700\u521d\u306e\u8a3c\u660e\u65b9\u6cd5\u3068\u9055\u3046\u306e\u306f\u3001\\(\\sqrt{a^2+b^2}\\)\u3092\u5229\u7528\u3057\u3066\u5f37\u5f15\u306b\u62ec\u308b\u90e8\u5206\u3067\u3059\u3002\u3053\u308c\u3092\u6d3b\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u516c\u5f0f\u3092\u5229\u7528\u305b\u305a\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u5b9f\u969b\u306b\u516c\u5f0f\u3092\u5229\u7528\u3057\u3066\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u5f0f\u306b\u3064\u3044\u3066\u3001\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5909\u5f62\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u305f\u3060\u3057\\(r&gt;0\\)\u3067\u3042\u308a\u3001\\(-\u03c0&lt;\u03b1&lt;\u03c0\\)\u3068\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(\\sqrt{3}sin\u03b8+cos\u03b8\\)<\/li>\n<\/ul>\n<p>\\(r\\)\u3092\u8a08\u7b97\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(r=\\sqrt{(\\sqrt{3})^2+1^2}\\)<\/p>\n<p>\\(r=2\\)<\/p>\n<p>\u305d\u3053\u3067\u30012\u3092\u5229\u7528\u3057\u3066\u5168\u4f53\u3092\u62ec\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\sqrt{3}sin\u03b8+cos\u03b8\\)<\/p>\n<p>\\(=2\\left(\\displaystyle\\frac{\\sqrt{3}}{2}sin\u03b8+\\displaystyle\\frac{1}{2}cos\u03b8\\right)\\)<\/p>\n<p>\\(=2\\left(sin\u03b8cos\\displaystyle\\frac{\u03c0}{6}+cos\u03b8sin\\displaystyle\\frac{\u03c0}{6}\\right)\\)<\/p>\n<p>\\(=2sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{6}\\right)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\\(cos\\displaystyle\\frac{\u03c0}{6}=\\displaystyle\\frac{\\sqrt{3}}{2}\\)\u3067\u3042\u308a\u3001\\(sin\\displaystyle\\frac{\u03c0}{6}=\\displaystyle\\frac{1}{2}\\)\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u52a0\u6cd5\u5b9a\u7406\u306e\u9006\u3092\u5229\u7528\u3057\u3066\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u3059\u308b\u5834\u5408\u3001\u3059\u3079\u3066\u306e\u554f\u984c\u3067\u516c\u5f0f\u3092\u899a\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u3053\u306e\u65b9\u6cd5\u3092\u5229\u7528\u3057\u3066\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u3059\u308b\u3053\u3068\u3092\u304a\u3059\u3059\u3081\u3057\u307e\u3059\u3002<\/p>\n<h3>cos\u03b8\u3092\u5229\u7528\u3057\u3066\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u3059\u308b<\/h3>\n<p>sin\u03b8\u3068cos\u03b8\u306f\u4e92\u3044\u306b\u5909\u5f62\u3067\u304d\u308b\u3053\u3068\u3092\u65e2\u306b\u7406\u89e3\u3057\u3066\u3044\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u305d\u3053\u3067sin\u03b8\u3060\u3051\u3067\u306a\u304f\u3001cos\u03b8\u3078\u306e\u5408\u6210\u3082\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u65b9\u6cd5\u306f\u7c21\u5358\u3067\u3042\u308a\u3001sin\u03b8\u306e\u4f4d\u76f8\u3092\u305a\u3089\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\\(sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{2}\\right)=cos\u03b8\\)\u3092\u5229\u7528\u3057\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u5148\u307b\u3069\u3068\u540c\u3058\u6761\u4ef6\u3067\\(\\sqrt{3}sin\u03b8+cos\u03b8\\)\u3092cos\u03b8\u306b\u5408\u6210\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u524d\u8ff0\u306e\u901a\u308a\u3001\u8a08\u7b97\u3059\u308b\u3068\\(2sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{6}\\right)\\)\u306b\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\\(sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{2}\\right)=cos\u03b8\\)\u3092\u7528\u3044\u3066cos\u03b8\u306b\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(2sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{6}\\right)\\)<\/p>\n<p>\\(=2sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{2}-\\displaystyle\\frac{\u03c0}{3}\\right)\\)<\/p>\n<p>\\(=2cos\\left(\u03b8-\\displaystyle\\frac{\u03c0}{3}\\right)\\)<\/p>\n<p>\u56f3\u3092\u5229\u7528\u3057\u305f\u308a\u3001\u52a0\u6cd5\u5b9a\u7406\u306e\u9006\u3092\u5229\u7528\u3057\u305f\u308a\u3057\u3066\u3001cos\u03b8\u306e\u5408\u6210\u516c\u5f0f\u3092\u8aac\u660e\u3059\u308b\u4eba\u306f\u591a\u3044\u3067\u3059\u3002\u305f\u3060\u4e21\u65b9\u3068\u3082\u7406\u89e3\u3057\u306b\u304f\u304f\u3001\u8a08\u7b97\u30df\u30b9\u304c\u8d77\u3053\u308a\u3084\u3059\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6cd5\u65b9\u6cd5\u3068\u3057\u3066sin\u03b8\u306e\u307f\u899a\u3048\u3001cos\u03b8\u306e\u5408\u6210\u306fsin\u03b8\u304b\u3089\u5909\u5f62\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2>\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u5408\u6210\u306b\u3088\u3063\u3066\u8a08\u7b97\u3059\u308b<\/h2>\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u306f\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u4fbf\u5229\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u5f97\u307e\u3057\u3087\u3046\u3002\\(0\u2266\u03b8\u2266\u03c0\\)\u306e\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u5f0f\u3067\u6700\u5927\u5024\u30fb\u6700\u5c0f\u5024\u3068\u305d\u306e\u3068\u304d\u306e\u03b8\u306e\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\\(y=3sin\u03b8-\\sqrt{3}cos\u03b8\\)<\/li>\n<\/ul>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<p>\\(y=3sin\u03b8-\\sqrt{3}cos\u03b8\\)<\/p>\n<p>\\(y=2\\sqrt{3}\\left(sin\u03b8\\displaystyle\\frac{3}{2\\sqrt{3}}-cos\u03b8\\displaystyle\\frac{1}{2}\\right)\\)<\/p>\n<p>\\(y=2\\sqrt{3}\\left(sin\u03b8\\displaystyle\\frac{\\sqrt{3}}{2}-cos\u03b8\\displaystyle\\frac{1}{2}\\right)\\)<\/p>\n<p>\\(y=2\\sqrt{3}\\left(sin\u03b8cos\\displaystyle\\frac{\u03c0}{6}-cos\u03b8sin\\displaystyle\\frac{\u03c0}{6}\\right)\\)<\/p>\n<p>\\(y=2\\sqrt{3}sin\\left(\u03b8-\\displaystyle\\frac{\u03c0}{6}\\right)\\)<\/p>\n<p>\\(0\u2266\u03b8\u2266\u03c0\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(-\\displaystyle\\frac{\u03c0}{6}\u2266\u03b8-\\displaystyle\\frac{\u03c0}{6}\u2266\\displaystyle\\frac{5\u03c0}{6}\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/diwj3.jpg\" alt=\"\" width=\"400\" height=\"373\" class=\"aligncenter size-full wp-image-11444\" \/><\/p>\n<p>\u56f3\u3088\u308a\u3001\\(sin\\left(\u03b8-\\displaystyle\\frac{\u03c0}{6}\\right)\\)\u306e\u7bc4\u56f2\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(-\\displaystyle\\frac{1}{2}\u2266sin\\left(\u03b8-\\displaystyle\\frac{\u03c0}{6}\\right)\u22661\\)<\/li>\n<\/ul>\n<p>\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(-\\sqrt{3}\u22662\\sqrt{3}sin\\left(\u03b8-\\displaystyle\\frac{\u03c0}{6}\\right)\u22662\\sqrt{3}\\)<\/li>\n<\/ul>\n<p>\u3053\u3046\u3057\u3066\u3001\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u306a\u304a\\(\u03b8-\\displaystyle\\frac{\u03c0}{6}=\\displaystyle\\frac{\u03c0}{2}\\)\u3001\u3064\u307e\u308a\\(\u03b8=\\displaystyle\\frac{2\u03c0}{3}\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\\(2\\sqrt{3}\\)\u3067\u3059\u3002\u307e\u305f\\(\u03b8-\\displaystyle\\frac{\u03c0}{6}=-\\displaystyle\\frac{\u03c0}{6}\\)\u3001\u3064\u307e\u308a\\(\u03b8=0\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\\(-\\sqrt{3}\\)\u3067\u3059\u3002<\/p>\n<h3>sin\u03b8\u3068cos\u03b8\u306e\u5bfe\u79f0\u5f0f\u306e\u89e3\u304d\u65b9<\/h3>\n<p>2\u3064\u306e\u5909\u6570\u3092\u4ea4\u63db\u3057\u3066\u3082\u5f0f\u304c\u5909\u5316\u3057\u306a\u3044\u5834\u5408\u3001\u5bfe\u79f0\u5f0f\u3068\u3044\u3044\u307e\u3059\u3002sin\u03b8\u3068cos\u03b8\u306b\u3088\u308b\u5bfe\u79f0\u5f0f\u3067\u306f\u3001\u554f\u984c\u306e\u89e3\u304d\u65b9\u304c\u3042\u308a\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001<span style=\"color: #0000ff;\">\\(sin\u03b8+cos\u03b8=t\\)\u3068\u8a2d\u5b9a\u3057\u307e\u3057\u3087\u3046\u3002<\/span>\\(t\\)\u3092\u4e8c\u4e57\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(t^2=sin^2\u03b8+2sin\u03b8cos\u03b8\\)\\(+cos^2\u03b8\\)<\/p>\n<p>\\(t^2=1+2sin\u03b8cos\u03b8\\)<\/p>\n<p>\\(2sin\u03b8cos\u03b8=t^2-1\\)<\/p>\n<p>\\(sin\u03b8cos\u03b8=\\displaystyle\\frac{t^2-1}{2}\\)<\/p>\n<p>\u305d\u3053\u3067\u3001\\(sin\u03b8cos\u03b8=\\displaystyle\\frac{t^2-1}{2}\\)\u3092\u5229\u7528\u3057\u3066\u7b54\u3048\u3092\u5f97\u308b\u306e\u3067\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\\(y=sin2\u03b8-2sin\u03b8-2cos\u03b8+1\\)\u306e\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002\u306a\u304a\u3001\\(0\u2266\u03b8\u2266\u03c0\\)\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>2\u500d\u89d2\u306e\u516c\u5f0f\u3088\u308a\u3001\\(sin2\u03b8=2sin\u03b8cos\u03b8\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5f0f\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(y=2sin\u03b8cos\u03b8-2sin\u03b8-2cos\u03b8+1\\)<\/li>\n<\/ul>\n<p>\u305d\u3053\u3067\\(sin\u03b8+cos\u03b8=t\\)\u3068\u7f6e\u304f\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u5909\u5f62\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(y=2sin\u03b8cos\u03b8-2sin\u03b8-2cos\u03b8+1\\)<\/p>\n<p>\\(y=2sin\u03b8cos\u03b8-2(sin\u03b8+cos\u03b8)+1\\)<\/p>\n<p>\\(y=2\u00d7\\displaystyle\\frac{t^2-1}{2}-2t+1\\)<\/p>\n<p>\\(y=t^2-2t\\)<\/p>\n<p>\\(y=(t-1)^2-1\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u8ef8\u304c\\(t=1\\)\u3068\u306a\u308b\u4e0b\u306b\u51f8\u306e\u4e8c\u6b21\u95a2\u6570\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u30fb\\(t\\)\u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3059\u308b<\/strong><\/p>\n<p>\u6b21\u306b\\(t\\)\u306e\u7bc4\u56f2\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001sin\u03b8\u306e\u5f0f\u306b\u3059\u308b\u306e\u3067\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(t=sin\u03b8+cos\u03b8\\)<\/p>\n<p>\\(t=\\sqrt{2}\\left(sin\u03b8\\displaystyle\\frac{1}{\\sqrt{2}}+cos\u03b8\\displaystyle\\frac{1}{\\sqrt{2}}\\right)\\)<\/p>\n<p>\\(t=\\sqrt{2}sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{4}\\right)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001sin\u03b8\u3092\u5229\u7528\u3057\u3066\\(t\\)\u3092\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u306a\u304a\\(0\u2266\u03b8\u2266\u03c0\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(\\displaystyle\\frac{\u03c0}{4}\u2266\u03b8+\\displaystyle\\frac{\u03c0}{4}\u2266\\displaystyle\\frac{5\u03c0}{4}\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\\(-\\displaystyle\\frac{1}{\\sqrt{2}}\u2266sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{4}\\right)\u22661\\)\u3067\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/diwj2.jpg\" alt=\"\" width=\"400\" height=\"373\" class=\"aligncenter size-full wp-image-11443\" \/><\/p>\n<p>\u3053\u3053\u307e\u3067\u306e\u8a08\u7b97\u306b\u3088\u308a\u3001\\(t\\)\u306e\u7bc4\u56f2\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\\(-\\displaystyle\\frac{1}{\\sqrt{2}}\u2266sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{4}\\right)\u22661\\)<\/p>\n<p>\\(-1\u2266\\sqrt{2}sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{4}\\right)\u2266\\sqrt{2}\\)<\/p>\n<p>\\(-1\u2266t\u2266\\sqrt{2}\\)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/12\/diwj4.jpg\" alt=\"\" width=\"342\" height=\"295\" class=\"aligncenter size-full wp-image-11445\" \/><\/p>\n<p>\\(t=-1\\)\u306e\u3068\u304d\u3001\u6700\u5927\u5024\u306f3\u3067\u3059\u3002\u03b8\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\sqrt{2}sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{4}\\right)=-1\\)<\/p>\n<p>\\(sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{4}\\right)=-\\displaystyle\\frac{1}{\\sqrt{2}}\\)<\/p>\n<p>\\(\u03b8+\\displaystyle\\frac{\u03c0}{4}=\\displaystyle\\frac{5\u03c0}{4}\\)<\/p>\n<p>\\(\u03b8=\u03c0\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\\(\u03b8=\u03c0\\)\u306e\u3068\u304d\u3001\u6700\u5927\u50243\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\\(t=1\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024\u306f-1\u3067\u3059\u3002\u03b8\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\sqrt{2}sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{4}\\right)=1\\)<\/p>\n<p>\\(sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{4}\\right)=\\displaystyle\\frac{1}{\\sqrt{2}}\\)<\/p>\n<p>\\(\u03b8+\\displaystyle\\frac{\u03c0}{4}=\\displaystyle\\frac{\u03c0}{4},\\displaystyle\\frac{3\u03c0}{4}\\)<\/p>\n<p>\\(\u03b8=0,\\displaystyle\\frac{\u03c0}{2}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\\(\u03b8=0,\\displaystyle\\frac{\u03c0}{2}\\)\u306e\u3068\u304d\u3001\u6700\u5c0f\u5024-1\u306b\u306a\u308b\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u4e09\u89d2\u95a2\u6570\u3067\u306f\u7f6e\u304d\u63db\u3048\u306b\u3088\u3063\u3066\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u306f\u591a\u304f\u3001\u305d\u306e\u4ee3\u8868\u7684\u306a\u4f8b\u306e\u4e00\u3064\u304c\u5bfe\u79f0\u5f0f\u3067\u3059\u3002<\/p>\n<h2>\u516c\u5f0f\u306a\u3057\u306b\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u884c\u3046<\/h2>\n<p>\u4e09\u89d2\u95a2\u6570\u3092\u5b66\u3076\u3068\u304d\u3001\u3067\u304d\u308b\u3060\u3051\u516c\u5f0f\u3092\u899a\u3048\u306a\u3044\u3088\u3046\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u4e09\u89d2\u95a2\u6570\u306b\u95a2\u308f\u308b\u516c\u5f0f\u306f\u591a\u304f\u3001\u3059\u3079\u3066\u306e\u516c\u5f0f\u3092\u899a\u3048\u308b\u306e\u306f\u73fe\u5b9f\u7684\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067sin\u03b8\u3068cos\u03b8\u306b\u95a2\u308f\u308b\u52a0\u6cd5\u5b9a\u7406\u306e\u307f\u3092\u899a\u3048\u3001\u307b\u304b\u306e\u516c\u5f0f\u306f\u4f5c\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u306f\u3001\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u3067\u3059\u3002<\/p>\n<p>\u52a0\u6cd5\u5b9a\u7406\u306e\u9006\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u65b9\u6cd5\u306e\u307b\u3046\u304c\u8a08\u7b97\u30df\u30b9\u306f\u5c11\u306a\u3044\u3067\u3059\u3002\u307e\u305f\\(sin\\left(\u03b8+\\displaystyle\\frac{\u03c0}{2}\\right)=cos\u03b8\\)\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001sin\u03b8\u3092cos\u03b8\u3078\u5909\u63db\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u884c\u3046\u3053\u3068\u306b\u3088\u308a\u3001\u4e09\u89d2\u65b9\u7a0b\u5f0f\u3092\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u7279\u306b\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u306f\u6709\u52b9\u3067\u3059\u3002<\/p>\n<p>\u516c\u5f0f\u3092\u899a\u3048\u3066\u306f\u3044\u3051\u306a\u3044\u5185\u5bb9\u306e\u4e00\u3064\u304c\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3067\u3059\u3002\u65b9\u6cd5\u3092\u5b66\u3079\u3070\u3001\u7c21\u5358\u306a\u8a08\u7b97\u306b\u3088\u3063\u3066\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3092\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001sin\u03b8\u3068cos\u03b8\u306e\u8db3\u3057\u7b97\u3092sin\u03b8\u306e\u307f\u306e\u5f0f\uff08\u307e\u305f\u306fcos\u03b8\u306e\u307f\u306e\u5f0f\uff09\u3078\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u516c\u5f0f\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u4e09\u89d2\u95a2\u6570\u306e\u8a08\u7b97\u3092\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 sin\u03b8\u3068co [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11446,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":{"0":"post-11420","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-h-math"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11420","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=11420"}],"version-history":[{"count":11,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11420\/revisions"}],"predecessor-version":[{"id":11496,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/11420\/revisions\/11496"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/11446"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=11420"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=11420"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=11420"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}