\u4e09\u89d2\u51fd\u6570\u662f\u6570\u5b66\u4e2d\u5c5e\u4e8e\u521d\u7b49\u51fd\u6570\u4e2d\u7684\u8d85\u8d8a\u51fd\u6570\u7684\u4e00\u7c7b\u51fd\u6570\u3002\u5b83\u4eec\u7684\u672c\u8d28\u662f\u4efb\u610f\u89d2\u7684\u96c6\u5408\u4e0e\u4e00\u4e2a\u6bd4\u503c\u7684\u96c6\u5408\u7684\u53d8\u91cf\u4e4b\u95f4\u7684\u6620\u5c04\u3002\u4e09\u89d2\u51fd\u6570\u4e2d\u7684\u500d\u89d2\u516c\u5f0f\u3001\u534a\u89d2\u516c\u5f0f\u3001\u548c\u89d2\u516c\u5f0f\u662f\u4e09\u89d2\u51fd\u6570\u4e2d\u7684\u91cd\u8981\u516c\u5f0f\uff0c\u5b83\u4eec\u662f\u7528\u6765\u7b80\u5316\u4e09\u89d2\u51fd\u6570\u8ba1\u7b97\u7684\u516c\u5f0f\u3002<\/p>\n
\u500d\u89d2\u516c\u5f0f\u548c\u534a\u89d2\u516c\u5f0f<\/p>\n
1\u3001\u500d\u89d2\u516c\u5f0f<\/p>\n
\u500d\u89d2\u516c\u5f0f\u8868\u793a\u4e00\u4e2a\u89d2\u7684\u4e24\u500d\u7684\u4e09\u89d2\u51fd\u6570\u503c\u548c\u8fd9\u4e2a\u89d2\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\uff1b<\/p>\n
\u500d\u89d2\u516c\u5f0f\u662f\u6307\uff1asin2x\u3001cos2x\u3001tan2x\u8fd9\u4e09\u79cd\u51fd\u6570\u7684\u8ba1\u7b97\u516c\u5f0f\u3002<\/p>\n
\u500d\u89d2\u516c\u5f0f\u7684\u5177\u4f53\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n
sin2x=2sinxcosx<\/p>\n
cos2x=cos?x-sin?x<\/p>\n
tan2x=\uff082tanx\uff09\/\uff081-tan?x\uff09<\/p>\n
2\u3001\u534a\u89d2\u516c\u5f0f<\/p>\n
\u534a\u89d2\u516c\u5f0f\u8868\u793a\u4e00\u4e2a\u89d2\u7684\u4e00\u534a\u7684\u4e09\u89d2\u51fd\u6570\u503c\u548c\u8fd9\u4e2a\u89d2\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n
\u534a\u89d2\u516c\u5f0f\u662f\u6307\uff1asin\uff08x\/2\uff09\u3001cos\uff08x\/2\uff09\u3001tan\uff08x\/2\uff09\u8fd9\u4e09\u79cd\u51fd\u6570\u7684\u8ba1\u7b97\u516c\u5f0f\u3002<\/p>\n
\u534a\u89d2\u516c\u5f0f\u7684\u5177\u4f53\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n
sin\uff08x\/2\uff09=\u00b1\u221a[\uff081-cosx\uff09\/2]<\/p>\n
cos\uff08x\/2\uff09=\u00b1\u221a[\uff081+cosx\uff09\/2]<\/p>\n
tan\uff08x\/2\uff09=\u00b1\u221a[\uff081-cosx\uff09\/\uff081+cosx\uff09]<\/p>\n
3\u3001\u548c\u89d2\u516c\u5f0f<\/p>\n
\u548c\u89d2\u516c\u5f0f\u8868\u793a\u4e24\u4e2a\u89d2\u4e4b\u548c\u7684\u4e09\u89d2\u51fd\u6570\u503c\u548c\u8fd9\u4e24\u4e2a\u89d2\u7684\u4e09\u89d2\u51fd\u6570\u503c\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n
\u548c\u89d2\u516c\u5f0f\u662f\u6307\uff1asin\uff08x + y\uff09\u3001cos\uff08x + y\uff09\u3001tan\uff08x + y\uff09\u8fd9\u4e09\u79cd\u51fd\u6570\u7684\u8ba1\u7b97\u516c\u5f0f\u3002<\/p>\n
\u548c\u89d2\u516c\u5f0f\u7684\u5177\u4f53\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n
sin\uff08x+y\uff09=sinxcosy+cosxsiny<\/p>\n
cos\uff08x+y\uff09=cosxcosy-sinxsiny<\/p>\n
tan\uff08x+y\uff09= \uff08tanx+tany\uff09\/\uff081-tanxtany\uff09<\/p>\n
\u8fd9\u4e9b\u516c\u5f0f\u53ef\u4ee5\u65b9\u4fbf\u5730\u5c06\u4e00\u4e2a\u4e09\u89d2\u51fd\u6570\u7684\u503c\u8f6c\u6362\u4e3a\u53e6\u4e00\u4e2a\u4e09\u89d2\u51fd\u6570\u7684\u503c\uff0c\u4ece\u800c\u7b80\u5316\u8ba1\u7b97\u3002<\/p>\n
\u4e09\u89d2\u51fd\u6570\u6709\u54ea\u51e0\u79cd\u7c7b\u578b\uff1f<\/p>\n
\u4e09\u89d2\u51fd\u6570\u4e3b\u8981\u6709\u516d\u79cd\u57fa\u672c\u7c7b\u578b\uff0c\u5206\u522b\u662f\u6b63\u5f26\u3001\u4f59\u5f26\u3001\u6b63\u5207\u3001\u4f59\u5207\u3001\u6b63\u5272\u3001\u4f59\u5272\u3002<\/p>\n
\u5728\u6570\u5b66\u5206\u6790\u4e2d\uff0c\u4e09\u89d2\u51fd\u6570\u4e5f\u88ab\u5b9a\u4e49\u4e3a\u65e0\u7a77\u7ea7\u6570\u6216\u7279\u5b9a\u5fae\u5206\u65b9\u7a0b\u7684\u89e3\uff0c\u5141\u8bb8\u5b83\u4eec\u7684\u53d6\u503c\u6269\u5c55\u5230\u4efb\u610f\u5b9e\u6570\u503c\uff0c\u751a\u81f3\u662f\u590d\u6570\u503c\u3002<\/p>\n
1. \u6b63\u5f26\u51fd\u6570\uff08Sine\uff09\uff1a\u901a\u5e38\u8868\u793a\u4e3asin\uff08x\uff09\uff0c\u5b9a\u4e49\u4e3a\u5bf9\u4e8e\u7ed9\u5b9a\u89d2\u5ea6x\uff0c\u6b63\u5f26\u51fd\u6570\u8fd4\u56de\u4e09\u89d2\u5f62\u7684\u5bf9\u8fb9\u4e0e\u659c\u8fb9\u4e4b\u6bd4\u3002<\/p>\n
2. \u4f59\u5f26\u51fd\u6570\uff08Cosine\uff09\uff1a\u901a\u5e38\u8868\u793a\u4e3acos\uff08x\uff09\uff0c\u5b9a\u4e49\u4e3a\u5bf9\u4e8e\u7ed9\u5b9a\u89d2\u5ea6x\uff0c\u4f59\u5f26\u51fd\u6570\u8fd4\u56de\u4e09\u89d2\u5f62\u7684\u90bb\u8fb9\u4e0e\u659c\u8fb9\u4e4b\u6bd4\u3002<\/p>\n
3. \u6b63\u5207\u51fd\u6570\uff08Tangent\uff09\uff1a\u901a\u5e38\u8868\u793a\u4e3atan\uff08x\uff09\uff0c\u5b9a\u4e49\u4e3a\u5bf9\u4e8e\u7ed9\u5b9a\u89d2\u5ea6x\uff0c\u6b63\u5207\u51fd\u6570\u8fd4\u56de\u6b63\u5f26\u4e0e\u4f59\u5f26\u7684\u6bd4\u503c\uff0c\u5373sin\uff08x\uff09 \/ cos\uff08x\uff09\u3002<\/p>\n
4. \u4f59\u5207\u51fd\u6570\uff08Cotangent\uff09\uff1a\u901a\u5e38\u8868\u793a\u4e3acot\uff08x\uff09\uff0c\u5b9a\u4e49\u4e3a\u5bf9\u4e8e\u7ed9\u5b9a\u89d2\u5ea6x\uff0c\u4f59\u5207\u51fd\u6570\u8fd4\u56de\u6b63\u5207\u7684\u5012\u6570\uff0c\u53731 \/ tan\uff08x\uff09\u3002<\/p>\n
5. \u6b63\u5272\u51fd\u6570\uff08Secant\uff09\uff1a\u901a\u5e38\u8868\u793a\u4e3asec\uff08x\uff09\uff0c\u5b9a\u4e49\u4e3a\u5bf9\u4e8e\u7ed9\u5b9a\u89d2\u5ea6x\uff0c\u6b63\u5272\u51fd\u6570\u8fd4\u56de\u4f59\u5f26\u7684\u5012\u6570\uff0c\u53731 \/ cos\uff08x\uff09\u3002<\/p>\n
6. \u4f59\u5272\u51fd\u6570\uff08Cosecant\uff09\uff1a\u901a\u5e38\u8868\u793a\u4e3acsc\uff08x\uff09\uff0c\u5b9a\u4e49\u4e3a\u5bf9\u4e8e\u7ed9\u5b9a\u89d2\u5ea6x\uff0c\u4f59\u5272\u51fd\u6570\u8fd4\u56de\u6b63\u5f26\u7684\u5012\u6570\uff0c\u53731 \/ sin\uff08x\uff09\u3002<\/p>\n
\u8fd9\u4e9b\u4e09\u89d2\u51fd\u6570\u5728\u6570\u5b66\u548c\u7269\u7406\u4e2d\u7ecf\u5e38\u88ab\u7528\u4e8e\u63cf\u8ff0\u89d2\u5ea6\u3001\u5468\u671f\u6027\u73b0\u8c61\u548c\u6ce2\u52a8\u7b49\u5404\u79cd\u95ee\u9898\u3002\u5b83\u4eec\u5728\u4e09\u89d2\u5b66\u548c\u4e09\u89d2\u51fd\u6570\u7684\u7814\u7a76\u4e2d\u8d77\u7740\u91cd\u8981\u7684\u4f5c\u7528\u3002<\/p>\n
\u4e09\u89d2\u51fd\u6570\u516c\u5f0f\u5927\u5168\uff1a<\/p>\n
\u4e00\u3001\u500d\u89d2\u516c\u5f0f<\/p>\n
1\u3001Sin2A=2SinA*CosA<\/p>\n
2\u3001Cos2A=CosA^2-SinA^2=1-2SinA^2=2CosA^2-1<\/p>\n
3\u3001tan2A=\uff082tanA\uff09\/\uff081-tanA^2\uff09\uff08\u6ce8\uff1aSinA^2 \u662fsinA\u7684\u5e73\u65b9 sin2\uff08A\uff09 \uff09<\/p>\n
\u5411\u5de6\u8f6c|\u5411\u53f3\u8f6c<\/p>\n
\u4e8c\u3001\u964d\u5e42\u516c\u5f0f<\/p>\n
1\u3001sin^2\uff08\u03b1\uff09=\uff081-cos\uff082\u03b1\uff09\uff09\/2=versin\uff082\u03b1\uff09\/2<\/p>\n
2\u30012cos^2\uff08\u03b1\uff09=\uff081+cos\uff082\u03b1\uff09\uff09\/2=covers\uff082\u03b1\uff09\/2<\/p>\n
3\u3001tan^2\uff08\u03b1\uff09=\uff081-cos\uff082\u03b1\uff09\uff09\/\uff081+cos\uff082\u03b1\uff09\uff09<\/p>\n
\u4e09\u3001\u63a8\u5bfc\u516c\u5f0f<\/p>\n
1\u30011tan\u03b1+cot\u03b1=2\/sin2\u03b1<\/p>\n
2\u3001tan\u03b1-cot\u03b1=-2cot2\u03b1<\/p>\n
3\u30011+cos2\u03b1=2cos^2\u03b1<\/p>\n
4\u30011-cos2\u03b1=2sin^2\u03b1<\/p>\n
5\u30011+sin\u03b1=\uff08sin\u03b1\/2+cos\u03b1\/2\uff09^2=2sina\uff081-sin2a\uff09+\uff081-2sin2a\uff09sina<\/p>\n
\u56db\u3001\u4e24\u89d2\u548c\u5dee<\/p>\n
1\u30011cos\uff08\u03b1+\u03b2\uff09=cos\u03b1\u00b7cos\u03b2-sin\u03b1\u00b7sin\u03b2<\/p>\n
2\u3001cos\uff08\u03b1-\u03b2\uff09=cos\u03b1\u00b7cos\u03b2+sin\u03b1\u00b7sin\u03b2<\/p>\n
3\u3001sin\uff08\u03b1\u00b1\u03b2\uff09=sin\u03b1\u00b7cos\u03b2\u00b1cos\u03b1\u00b7sin\u03b2<\/p>\n
4\u30014tan\uff08\u03b1+\u03b2\uff09=\uff08tan\u03b1+tan\u03b2\uff09\/\uff081-tan\u03b1\u00b7tan\u03b2\uff09<\/p>\n
5\u3001tan\uff08\u03b1-\u03b2\uff09=\uff08tan\u03b1-tan\u03b2\uff09\/\uff081+tan\u03b1\u00b7tan\u03b2\uff09<\/p>\n
\u4e94\u3001\u548c\u5dee\u5316\u79ef<\/p>\n
1\u3001sin\u03b8+sin\u03c6 = 2 sin[\uff08\u03b8+\u03c6\uff09\/2] cos[\uff08\u03b8-\u03c6\uff09\/2]<\/p>\n
2\u3001sin\u03b8-sin\u03c6 = 2 cos[\uff08\u03b8+\u03c6\uff09\/2] sin[\uff08\u03b8-\u03c6\uff09\/2]<\/p>\n
3\u3001cos\u03b8+cos\u03c6 = 2 cos[\uff08\u03b8+\u03c6\uff09\/2] cos[\uff08\u03b8-\u03c6\uff09\/2]<\/p>\n
4\u3001cos\u03b8-cos\u03c6 = -2 sin[\uff08\u03b8+\u03c6\uff09\/2] sin[\uff08\u03b8-\u03c6\uff09\/2]<\/p>\n
5\u3001tanA+tanB=sin\uff08A+B\uff09\/cosAcosB=tan\uff08A+B\uff09\uff081-tanAtanB\uff09<\/p>\n
\u516d\u3001\u79ef\u5316\u548c\u5dee<\/p>\n
1\u3001sin\u03b1sin\u03b2 = [cos\uff08\u03b1-\u03b2\uff09-cos\uff08\u03b1+\u03b2\uff09] \/2<\/p>\n
2\u3001sin\u03b1cos\u03b2 = [sin\uff08\u03b1+\u03b2\uff09+sin\uff08\u03b1-\u03b2\uff09]\/2<\/p>\n
3\u3001cos\u03b1sin\u03b2 = [sin\uff08\u03b1+\u03b2\uff09-sin\uff08\u03b1-\u03b2\uff09]\/2<\/p>\n
\u4e03\u3001\u8bf1\u5bfc\u516c\u5f0f<\/p>\n
1\u3001\uff08-\u03b1\uff09 = -sin\u03b1\u3001cos\uff08-\u03b1\uff09 = cos\u03b1<\/p>\n
2\u3001tan \uff08\u2014a\uff09=-tan\u03b1\u3001sin\uff08\u03c0\/2-\u03b1\uff09 = cos\u03b1\u3001cos\uff08\u03c0\/2-\u03b1\uff09 = sin\u03b1\u3001sin\uff08\u03c0\/2+\u03b1\uff09 = cos\u03b1<\/p>\n
3\u30013cos\uff08\u03c0\/2+\u03b1\uff09 = -sin\u03b1<\/p>\n
4\u3001\uff08\u03c0-\u03b1\uff09 = sin\u03b1\u3001cos\uff08\u03c0-\u03b1\uff09 = -cos\u03b1<\/p>\n
5\u30015tanA= sinA\/cosA\u3001tan\uff08\u03c0\/2\uff0b\u03b1\uff09\uff1d\uff0dcot\u03b1\u3001tan\uff08\u03c0\/2\uff0d\u03b1\uff09\uff1dcot\u03b1<\/p>\n
6\u3001tan\uff08\u03c0\uff0d\u03b1\uff09\uff1d\uff0dtan\u03b1\u3001tan\uff08\u03c0\uff0b\u03b1\uff09\uff1dtan\u03b1<\/p>\n
\u516b\u3001\u9510\u89d2\u4e09\u89d2\u51fd\u6570\u516c\u5f0f<\/p>\n
1\u3001sin \u03b1=\u2220\u03b1\u7684\u5bf9\u8fb9 \/ \u659c\u8fb9<\/p>\n
2\u3001\u03b1=\u2220\u03b1\u7684\u90bb\u8fb9 \/ \u659c\u8fb9<\/p>\n
3\u3001tan \u03b1=\u2220\u03b1\u7684\u5bf9\u8fb9 \/ \u2220\u03b1\u7684\u90bb\u8fb9<\/p>\n
4\u3001cot \u03b1=\u2220\u03b1\u7684\u90bb\u8fb9 \/ \u2220\u03b1\u7684\u5bf9\u8fb9<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4e09\u89d2\u51fd\u6570\u662f\u6570\u5b66\u4e2d\u5c5e\u4e8e\u521d\u7b49\u51fd\u6570\u4e2d\u7684\u8d85\u8d8a\u51fd\u6570\u7684\u4e00\u7c7b\u51fd\u6570\u3002\u5b83\u4eec\u7684\u672c\u8d28\u662f\u4efb\u610f\u89d2\u7684\u96c6\u5408\u4e0e\u4e00\u4e2a\u6bd4\u503c\u7684\u96c6\u5408\u7684\u53d8\u91cf\u4e4b\u95f4\u7684\u6620\u5c04\u3002 … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-5598","post","type-post","status-publish","format-standard","hentry","category-shuxue"],"views":403,"_links":{"self":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/5598","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/comments?post=5598"}],"version-history":[{"count":1,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/5598\/revisions"}],"predecessor-version":[{"id":5599,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/5598\/revisions\/5599"}],"wp:attachment":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/media?parent=5598"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/categories?post=5598"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/tags?post=5598"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}