\u5728\u9ad8\u4e2d\u4e09\u89d2\u51fd\u6570\u4e00\u7ae0\u4e2d\uff0c\u6211\u4eec\u4e86\u89e3\u5230\u4e86sin\u548ccos\u51fd\u6570\u7684\u672c\u8d28\uff0c\u5b83\u4eec\u7684\u672c\u8d28\u5728\u4e8e\u53cd\u6620\u4e86\u6cbf\u5706\u5fc3\u5728\u539f\u70b9\u7684\u5355\u4f4d\u5706\u5468\u4e0a\u8fd0\u52a8\u65f6\u6a2a\u7eb5\u5750\u6807\u7684\u53d8\u5316\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u5bf9\u4e09\u89d2\u51fd\u6570\u548c\u5dee\u5316\u79ef\u3001\u79ef\u5316\u548c\u5dee\u516c\u5f0f\u505a\u4e00\u4e2a\u7b80\u5355\u7684\u603b\u7ed3\uff0c\u65b9\u4fbf\u5927\u5bb6\u5b66\u4e60\u548c\u8bb0\u5fc6\u3002\u540c\u65f6\u8fd9\u7bc7\u6587\u7ae0\u8fd8\u4e3a\u5927\u5bb6\u6574\u7406\u4e86\u4e00\u4e9b\u5fc5\u8981\u7684\u4e09\u89d2\u51fd\u6570\u516c\u5f0f\uff0c\u5e0c\u671b\u5bf9\u5927\u5bb6\u6709\u6240\u5e2e\u52a9\u3002<\/p>\n
\u79ef\u5316\u548c\u5dee\u548c\u5dee\u5316\u79ef\u516c\u5f0f\u516b\u4e2a<\/p>\n
\u4e00\uff1a\u79ef\u5316\u548c\u5dee\u7684\u56db\u4e2a\u516c\u5f0f<\/p>\n
sina*cosb=\uff08sin\uff08a+b\uff09+sin\uff08a-b\uff09\uff09\/2<\/p>\n
cosa*sinb=\uff08sin\uff08a+b\uff09-sin\uff08a-b\uff09\uff09\/2<\/p>\n
cosa*cosb=\uff08cos\uff08a+b\uff09+cos\uff08a-b\uff09\uff09\/2<\/p>\n
sina*sinb=-\uff08cos\uff08a+b\uff09-cos\uff08a-b\uff09\uff09\/2<\/p>\n
\u4e8c\uff1a\u548c\u5dee\u5316\u79ef\u7684\u56db\u4e2a\u516c\u5f0f<\/p>\n
sinx+siny=2sin\uff08\uff08x+y\uff09\/2\uff09*cos\uff08\uff08x-y\uff09\/2\uff09<\/p>\n
sinx-siny=2cos\uff08\uff08x+y\uff09\/2\uff09*sin\uff08\uff08x-y\uff09\/2\uff09<\/p>\n
cosx+cosy=2cos\uff08\uff08x+y\uff09\/2\uff09*cos\uff08\uff08x-y\uff09\/2\uff09<\/p>\n
cosx-cosy=-2sin\uff08\uff08x+y\uff09\/2\uff09*sin\uff08\uff08x-y\uff09\/2\uff09<\/p>\n
\u4e09\u89d2\u51fd\u6570\u516c\u5f0f\u5927\u5168<\/p>\n
\u4e00\uff1a\u4e24\u89d2\u548c\u516c\u5f0f<\/p>\n
sin\uff08A+B\uff09=sinAcosB+cosAsinB sin\uff08A-B\uff09=sinAcosB-sinBcosA<\/p>\n
cos\uff08A+B\uff09=cosAcosB-sinAsinB cos\uff08A-B\uff09=cosAcosB+sinAsinB<\/p>\n
tan\uff08A+B\uff09=\uff08tanA+tanB\uff09\/\uff081-tanAtanB\uff09 tan\uff08A-B\uff09=\uff08tanA-tanB\uff09\/\uff081+tanAtanB\uff09<\/p>\n
ctg\uff08A+B\uff09=\uff08ctgActgB-1\uff09\/\uff08ctgB+ctgA\uff09 ctg\uff08A-B\uff09=\uff08ctgActgB+1\uff09\/\uff08ctgB-ctgA\uff09<\/p>\n
\u4e8c\uff1a\u500d\u89d2\u516c\u5f0f<\/p>\n
tan2A=2tanA\/\uff081-tan2A\uff09 ctg2A=\uff08ctg2A-1\uff09\/2ctga<\/p>\n
cos2a=cos2a-sin2a=2cos2a-1=1-2sin2a<\/p>\n
\u4e09\uff1a\u534a\u89d2\u516c\u5f0f<\/p>\n
sin\uff08A\/2\uff09=\u221a\uff08\uff081-cosA\uff09\/2\uff09 sin\uff08A\/2\uff09=-\u221a\uff08\uff081-cosA\uff09\/2\uff09<\/p>\n
cos\uff08A\/2\uff09=\u221a\uff08\uff081+cosA\uff09\/2\uff09 cos\uff08A\/2\uff09=-\u221a\uff08\uff081+cosA\uff09\/2\uff09<\/p>\n
tan\uff08A\/2\uff09=\u221a\uff08\uff081-cosA\uff09\/\uff08\uff081+cosA\uff09\uff09 tan\uff08A\/2\uff09=-\u221a\uff08\uff081-cosA\uff09\/\uff08\uff081+cosA\uff09\uff09<\/p>\n
ctg\uff08A\/2\uff09=\u221a\uff08\uff081+cosA\uff09\/\uff08\uff081-cosA\uff09\uff09 ctg\uff08A\/2\uff09=-\u221a\uff08\uff081+cosA\uff09\/\uff08\uff081-cosA\uff09\uff09<\/p>\n
\u56db\uff1a\u8f85\u52a9\u89d2\u516c\u5f0f<\/p>\n
Asin\u03b1+Bcos\u03b1=\uff08A^2+B^2\uff09^\uff081\/2\uff09sin\uff08\u03b1+t\uff09\uff0c\u5176\u4e2d<\/p>\n
sint=B\/\uff08A^2+B^2\uff09^\uff081\/2\uff09<\/p>\n
cost=A\/\uff08A^2+B^2\uff09^\uff081\/2\uff09<\/p>\n
tant=B\/A<\/p>\n
Asin\u03b1+Bcos\u03b1=\uff08A^2+B^2\uff09^\uff081\/2\uff09cos\uff08\u03b1-t\uff09\uff0ctant=A\/B<\/p>\n
\u4e94\uff1a\u964d\u5e42\u516c\u5f0f<\/p>\n
sin^2\uff08\u03b1\uff09=\uff081-cos\uff082\u03b1\uff09\uff09\/2=versin\uff082\u03b1\uff09\/2<\/p>\n
cos^2\uff08\u03b1\uff09=\uff081+cos\uff082\u03b1\uff09\uff09\/2=covers\uff082\u03b1\uff09\/2<\/p>\n
tan^2\uff08\u03b1\uff09=\uff081-cos\uff082\u03b1\uff09\uff09\/\uff081+cos\uff082\u03b1\uff09\uff09<\/p>\n
\u516d\uff1a\u63a8\u5bfc\u516c\u5f0f<\/p>\n
tan\u03b1+cot\u03b1=2\/sin2\u03b1<\/p>\n
tan\u03b1-cot\u03b1=-2cot2\u03b1<\/p>\n
1+cos2\u03b1=2cos^2\u03b1<\/p>\n
1-cos2\u03b1=2sin^2\u03b1<\/p>\n
1+sin\u03b1=\uff08sin\u03b1\/2+cos\u03b1\/2\uff09^2<\/p>\n
=2sina\uff081-sin?a\uff09+\uff081-2sin?a\uff09sina<\/p>\n
=3sina-4sin?a<\/p>\n
cos3a<\/p>\n
=cos\uff082a+a\uff09<\/p>\n
=cos2acosa-sin2asina<\/p>\n
=\uff082cos?a-1\uff09cosa-2\uff081-sin?a\uff09cosa<\/p>\n
=4cos?a-3cosa<\/p>\n
sin3a=3sina-4sin?a<\/p>\n
=4sina\uff083\/4-sin?a\uff09<\/p>\n
=4sina[\uff08\u221a3\/2\uff09\uff1f-sin?a]<\/p>\n
=4sina\uff08sin?60\u00b0-sin?a\uff09<\/p>\n
=4sina\uff08sin60\u00b0+sina\uff09\uff08sin60\u00b0-sina\uff09<\/p>\n
=4sina*2sin[\uff0860+a\uff09\/2]cos[\uff0860\u00b0-a\uff09\/2]*2sin[\uff0860\u00b0-a\uff09\/2]cos[\uff0860\u00b0-a\uff09\/2]<\/p>\n
=4sinasin\uff0860\u00b0+a\uff09sin\uff0860\u00b0-a\uff09<\/p>\n
cos3a=4cos?a-3cosa<\/p>\n
=4cosa\uff08cos?a-3\/4\uff09<\/p>\n
=4cosa[cos?a-\uff08\u221a3\/2\uff09\uff1f]<\/p>\n
=4cosa\uff08cos?a-cos?30\u00b0\uff09<\/p>\n
=4cosa\uff08cosa+cos30\u00b0\uff09\uff08cosa-cos30\u00b0\uff09<\/p>\n
=4cosa*2cos[\uff08a+30\u00b0\uff09\/2]cos[\uff08a-30\u00b0\uff09\/2]*{-2sin[\uff08a+30\u00b0\uff09\/2]sin[\uff08a-30\u00b0\uff09\/2]}<\/p>\n
=-4cosasin\uff08a+30\u00b0\uff09sin\uff08a-30\u00b0\uff09<\/p>\n
=-4cosasin[90\u00b0-\uff0860\u00b0-a\uff09]sin[-90\u00b0+\uff0860\u00b0+a\uff09]<\/p>\n
=-4cosacos\uff0860\u00b0-a\uff09[-cos\uff0860\u00b0+a\uff09]<\/p>\n
=4cosacos\uff0860\u00b0-a\uff09cos\uff0860\u00b0+a\uff09<\/p>\n
\u4e0a\u8ff0\u4e24\u5f0f\u76f8\u6bd4\u53ef\u5f97<\/p>\n
tan3a=tanatan\uff0860\u00b0-a\uff09tan\uff0860\u00b0+a\uff09<\/p>\n
\u4e03\uff1a\u4e09\u89d2\u548c<\/p>\n
cos\uff08\u03b1+\u03b2+\u03b3\uff09=cos\u03b1\u00b7cos\u03b2\u00b7cos\u03b3-cos\u03b1\u00b7sin\u03b2\u00b7sin\u03b3-sin\u03b1\u00b7cos\u03b2\u00b7sin\u03b3-sin\u03b1\u00b7sin\u03b2\u00b7cos\u03b3<\/p>\n
tan\uff08\u03b1+\u03b2+\u03b3\uff09=\uff08tan\u03b1+tan\u03b2+tan\u03b3-tan\u03b1\u00b7tan\u03b2\u00b7tan\u03b3\uff09\/\uff081-tan\u03b1\u00b7tan\u03b2-tan\u03b2\u00b7tan\u03b3-tan\u03b3\u00b7tan\u03b1\uff09<\/p>\n
\u6570\u5b66\u4e09\u89d2\u51fd\u6570\u600e\u4e48\u8bb0\u5fc6<\/p>\n
\u4e09\u89d2\u51fd\u6570\u662f\u51fd\u6570\uff0c\u8c61\u9650\u7b26\u53f7\u5750\u6807\u6ce8\u3002\u51fd\u6570\u56fe\u50cf\u5355\u4f4d\u5706\uff0c\u5468\u671f\u5947\u5076\u589e\u51cf\u73b0\u3002<\/p>\n
\u540c\u89d2\u5173\u7cfb\u5f88\u91cd\u8981\uff0c\u5316\u7b80\u8bc1\u660e\u90fd\u9700\u8981\u3002\u6b63\u516d\u8fb9\u5f62\u9876\u70b9\u5904\uff0c\u4ece\u4e0a\u5230\u4e0b\u5f26\u5207\u5272\uff1b<\/p>\n
\u4e2d\u5fc3\u8bb0\u4e0a\u6570\u5b57\u4e00\uff0c\u8fde\u7ed3\u9876\u70b9\u4e09\u89d2\u5f62\u3002\u5411\u4e0b\u4e09\u89d2\u5e73\u65b9\u548c\uff0c\u5012\u6570\u5173\u7cfb\u662f\u5bf9\u89d2\uff0c<\/p>\n
\u9876\u70b9\u4efb\u610f\u4e00\u51fd\u6570\uff0c\u7b49\u4e8e\u540e\u9762\u4e24\u6839\u9664\u3002\u8bf1\u5bfc\u516c\u5f0f\u5c31\u662f\u597d\uff0c\u8d1f\u5316\u6b63\u540e\u5927\u5316\u5c0f\uff0c<\/p>\n
\u53d8\u6210\u9510\u89d2\u597d\u67e5\u8868\uff0c\u5316\u7b80\u8bc1\u660e\u5c11\u4e0d\u4e86\u3002\u4e8c\u7684\u4e00\u534a\u6574\u6570\u500d\uff0c\u5947\u6570\u5316\u4f59\u5076\u4e0d\u53d8\uff0c<\/p>\n
\u5c06\u5176\u540e\u8005\u89c6\u9510\u89d2\uff0c\u7b26\u53f7\u539f\u6765\u51fd\u6570\u5224\u3002\u4e24\u89d2\u548c\u7684\u4f59\u5f26\u503c\uff0c\u5316\u4e3a\u5355\u89d2\u597d\u6c42\u503c\uff0c<\/p>\n
\u4f59\u5f26\u79ef\u51cf\u6b63\u5f26\u79ef\uff0c\u6362\u89d2\u53d8\u5f62\u4f17\u516c\u5f0f\u3002\u548c\u5dee\u5316\u79ef\u987b\u540c\u540d\uff0c\u4e92\u4f59\u89d2\u5ea6\u53d8\u540d\u79f0\u3002<\/p>\n
\u8ba1\u7b97\u8bc1\u660e\u89d2\u5148\u884c\uff0c\u6ce8\u610f\u7ed3\u6784\u51fd\u6570\u540d\uff0c\u4fdd\u6301\u57fa\u672c\u91cf\u4e0d\u53d8\uff0c\u7e41\u96be\u5411\u7740\u7b80\u6613\u53d8\u3002<\/p>\n
\u9006\u53cd\u539f\u5219\u4f5c\u6307\u5bfc\uff0c\u5347\u5e42\u964d\u6b21\u548c\u5dee\u79ef\u3002\u6761\u4ef6\u7b49\u5f0f\u7684\u8bc1\u660e\uff0c\u65b9\u7a0b\u601d\u60f3\u6307\u8def\u660e\u3002<\/p>\n
\u4e07\u80fd\u516c\u5f0f\u4e0d\u4e00\u822c\uff0c\u5316\u4e3a\u6709\u7406\u5f0f\u5c45\u5148\u3002\u516c\u5f0f\u987a\u7528\u548c\u9006\u7528\uff0c\u53d8\u5f62\u8fd0\u7528\u52a0\u5de7\u7528\uff1b<\/p>\n
\u4e00\u52a0\u4f59\u5f26\u60f3\u4f59\u5f26\uff0c\u4e00\u51cf\u4f59\u5f26\u60f3\u6b63\u5f26\uff0c\u5e42\u5347\u4e00\u6b21\u89d2\u51cf\u534a\uff0c\u5347\u5e42\u964d\u6b21\u5b83\u4e3a\u8303\uff1b<\/p>\n
\u4e09\u89d2\u51fd\u6570\u53cd\u51fd\u6570\uff0c\u5b9e\u8d28\u5c31\u662f\u6c42\u89d2\u5ea6\uff0c\u5148\u6c42\u4e09\u89d2\u51fd\u6570\u503c\uff0c\u518d\u5224\u89d2\u53d6\u503c\u8303\u56f4\uff1b<\/p>\n
\u5229\u7528\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u5f62\u8c61\u76f4\u89c2\u597d\u6362\u540d\uff0c\u7b80\u5355\u4e09\u89d2\u7684\u65b9\u7a0b\uff0c\u5316\u4e3a\u6700\u7b80\u6c42\u89e3\u96c6\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u5728\u9ad8\u4e2d\u4e09\u89d2\u51fd\u6570\u4e00\u7ae0\u4e2d\uff0c\u6211\u4eec\u4e86\u89e3\u5230\u4e86sin\u548ccos\u51fd\u6570\u7684\u672c\u8d28\uff0c\u5b83\u4eec\u7684\u672c\u8d28\u5728\u4e8e\u53cd\u6620\u4e86\u6cbf\u5706\u5fc3\u5728\u539f\u70b9\u7684\u5355\u4f4d\u5706\u5468\u4e0a\u8fd0\u52a8\u65f6 … \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-7135","post","type-post","status-publish","format-standard","hentry","category-shuxue"],"views":447,"_links":{"self":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/7135","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=7135"}],"version-history":[{"count":1,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/7135\/revisions"}],"predecessor-version":[{"id":7136,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/7135\/revisions\/7136"}],"wp:attachment":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/media?parent=7135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/categories?post=7135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/tags?post=7135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}