Sin\u662f\u6b63\u5f26\uff0c\u5bf9\u8fb9\u6bd4\u659c\u8fb9\uff0c0\u5ea6\u89d2\u5bf9\u5e94\u7684\u5bf9\u8fb9\u957f\u5ea6\u5c31\u662f0\uff0c\u800c90\u5ea6\u5bf9\u8fb9\u5c31\u662f\u659c\u8fb9\uff0c\u6240\u4ee5sin90=1\uff0c\u6240\u4ee5\u4ee5\u6b64\u7c7b\u63a8sin30=1\/2\u3002<\/p>\n
SIN30\u5ea6\u7b49\u4e8e\u591a\u5c11<\/p>\n
sin30\u00b0=1\/2=0.5\u3002sin30\u00b0\u8868\u793a\u7684\u662f\uff1a\u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u89d2\u5ea6\u4e3a30\u00b0\u7684\u89d2\u7684\u5bf9\u8fb9\u4e0e\u659c\u8fb9\u7684\u6bd4\u3002\u6b63\u5f26\u51fd\u6570y=sin\u03b1\uff0c\u5176\u5b9a\u4e49\u57df\u4e3a\u5168\u4f53\u5b9e\u6570\uff0c\u503c\u57df\u4e3a[-1,1]\u3002<\/p>\n
\u4e09\u89d2\u51fd\u6570\u662f\u4ec0\u4e48<\/p>\n
\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\u901a\u5e38\u7684\u4e09\u89d2\u51fd\u6570\u662f\u5728\u5e73\u9762\u76f4\u89d2\u5750\u6807\u7cfb\u4e2d\u5b9a\u4e49\u7684\uff0c\u5176\u5b9a\u4e49\u57df\u4e3a\u6574\u4e2a\u5b9e\u6570\u57df\u3002\u53e6\u4e00\u79cd\u5b9a\u4e49\u662f\u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u4f46\u5e76\u4e0d\u5b8c\u5168\u3002\u4e09\u89d2\u51fd\u6570\u5728\u590d\u6570\u4e2d\u6709\u8f83\u4e3a\u91cd\u8981\u7684\u5e94\u7528\u3002\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u4e09\u89d2\u51fd\u6570\u4e5f\u662f\u5e38\u7528\u7684\u5de5\u5177\u3002<\/p>\n
\u5e38\u89c1\u7684\u4e09\u89d2\u51fd\u6570\u6709\u54ea\u4e9b<\/p>\n
\u6b63\u5f26\u51fd\u6570 \u683c\u5f0f\uff1asin\uff08\u03b1\uff09<\/p>\n
\u4f5c\u7528\uff1a\u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u5c06\u5927\u5c0f\u4e3a\u03b1\uff08\u5355\u4f4d\u4e3a\u5f27\u5ea6\uff09\u7684\u89d2\u5bf9\u8fb9\u957f\u5ea6\u6bd4\u659c\u8fb9\u957f\u5ea6\u7684\u6bd4\u503c\u6c42\u51fa\uff0c\u51fd\u6570\u503c\u4e3a\u4e0a\u8ff0\u6bd4\u7684\u6bd4\u503c\uff0c\u4e5f\u662fcsc\uff08\u03b1\uff09\u7684\u5012\u6570\u3002<\/p>\n
\u4f59\u5f26\u51fd\u6570 \u683c\u5f0f\uff1acos\uff08\u03b1\uff09<\/p>\n
\u4f5c\u7528\uff1a\u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u5c06\u5927\u5c0f\u4e3a\u03b1\uff08\u5355\u4f4d\u4e3a\u5f27\u5ea6\uff09\u7684\u89d2\u90bb\u8fb9\u957f\u5ea6\u6bd4\u659c\u8fb9\u957f\u5ea6\u7684\u6bd4\u503c\u6c42\u51fa\uff0c\u51fd\u6570\u503c\u4e3a\u4e0a\u8ff0\u6bd4\u7684\u6bd4\u503c\uff0c\u4e5f\u662fsec\uff08\u03b1\uff09\u7684\u5012\u6570\u3002<\/p>\n
\u6b63\u5207\u51fd\u6570 \u683c\u5f0f\uff1atan\uff08\u03b1\uff09<\/p>\n
\u4f5c\u7528\uff1a\u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u5c06\u5927\u5c0f\u4e3a\u03b1\uff08\u5355\u4f4d\u4e3a\u5f27\u5ea6\uff09\u7684\u89d2\u5bf9\u8fb9\u957f\u5ea6\u6bd4\u90bb\u8fb9\u957f\u5ea6\u7684\u6bd4\u503c\u6c42\u51fa\uff0c\u51fd\u6570\u503c\u4e3a\u4e0a\u8ff0\u6bd4\u7684\u6bd4\u503c\uff0c\u4e5f\u662fcot\uff08\u03b1\uff09\u7684\u5012\u6570\u3002<\/p>\n
\u4e09\u89d2\u51fd\u6570\u901f\u8bb0\u53e3\u8bc0<\/p>\n
\u53e3\u8bc0\u5982\u4e0b\uff1a<\/p>\n
1\u3001\u4e09\u89d2\u51fd\u6570\u5728\u5404\u8c61\u9650\u7684\u7b26\u53f7\uff1a\u4e00\u5168\u6b63\uff0c\u4e8c\u6b63\u5f26\uff0c\u4e09\u6b63\u5207\uff0c\u56db\u4f59\u5f26\u3002<\/p>\n
2\u3001\u4e09\u89d2\u51fd\u6570\u8bf1\u5bfc\u516c\u5f0f\u53e3\u8bc0\uff1a\u2460\u516c\u5f0f1\u20145\uff1a\u51fd\u6570\u540d\u4e0d\u53d8\uff0c\u7b26\u53f7\u770b\u8c61\u9650\uff1b\u2461\u516c\u5f0f1\u20146\u53ca\u63a8\u5e7f\uff1a\u5947\u53d8\u5076\u4e0d\u53d8\uff0c\u7b26\u53f7\u770b\u8c61\u9650\u3002<\/p>\n
3\u3001\u4e24\u89d2\u548c\u4e0e\u5dee\u7684\u4e09\u89d2\u51fd\u6570\u516c\u5f0f\uff1a\u2460\u4e24\u89d2\u548c\u4e0e\u5dee\u7684\u4f59\u5f26\u516c\u5f0f\uff1a\u540c\u540d\u79ef\u7b26\u53f7\u53cd\uff1b\u2461\u4e24\u89d2\u548c\u4e0e\u5dee\u7684\u6b63\u5f26\u516c\u5f0f\uff1a\u5f02\u540d\u79ef\u7b26\u53f7\u540c\uff1b\u2462\u4e24\u89d2\u548c\u4e0e\u5dee\u7684\u6b63\u5207\u516c\u5f0f\uff1a\u7b26\u53f7\u4e0a\u540c\u4e0b\u4e0d\u540c\uff1b\u5947\u53d8\u5076\u4e0d\u53d8\u7b26\u53f7\u770b\u8c61\u9650\u3002<\/p>\n
\u4e09\u89d2\u51fd\u6570\u5168\u516c\u5f0f<\/p>\n
\u4e00\u3001\u9510\u89d2\u4e09\u89d2\u51fd\u6570\u5b9a\u4e49<\/p>\n
\u9510\u89d2\u89d2A\u7684\u6b63\u5f26\uff08sin\uff09\uff0c\u4f59\u5f26\uff08cos\uff09\u548c\u6b63\u5207\uff08tan\uff09\uff0c\u4f59\u5207\uff08cot\uff09\u4ee5\u53ca\u6b63\u5272\uff08sec\uff09\uff0c\u4f59\u5272\uff08csc\uff09\u90fd\u53eb\u505a\u89d2A\u7684\u9510\u89d2\u4e09\u89d2\u51fd\u6570\u3002<\/p>\n
\u6b63\u5f26\uff08sin\uff09\uff1a\u5bf9\u8fb9\u6bd4\u659c\u8fb9\uff0c\u5373sinA=a\/c<\/p>\n
\u4f59\u5f26\uff08cos\uff09\uff1a\u90bb\u8fb9\u6bd4\u659c\u8fb9\uff0c\u5373cosA=b\/c<\/p>\n
\u6b63\u5207\uff08tan\uff09\uff1a\u5bf9\u8fb9\u6bd4\u90bb\u8fb9\uff0c\u5373tanA=a\/b<\/p>\n
\u4f59\u5207\uff08cot\uff09\uff1a\u90bb\u8fb9\u6bd4\u5bf9\u8fb9\uff0c\u5373cotA=b\/a<\/p>\n
\u6b63\u5272\uff08sec\uff09\uff1a\u659c\u8fb9\u6bd4\u90bb\u8fb9\uff0c\u5373secA=c\/b<\/p>\n
\u4f59\u5272\uff08csc\uff09\uff1a\u659c\u8fb9\u6bd4\u5bf9\u8fb9\uff0c\u5373cscA=c\/a<\/p>\n
\u4e8c\u3001\u4e09\u89d2\u51fd\u6570\u5173\u7cfb<\/p>\n
\u2460\u4e92\u4f59\u89d2\u7684\u5173\u7cfb\uff1a<\/p>\n
sin\uff0890\u00b0-\u03b1\uff09=cos\u03b1\uff0c cos\uff0890\u00b0-\u03b1\uff09=sin\u03b1<\/p>\n
tan\uff0890\u00b0-\u03b1\uff09=cot\u03b1\uff0c cot\uff0890\u00b0-\u03b1\uff09=tan\u03b1<\/p>\n
\u2461\u5e73\u65b9\u5173\u7cfb\uff1a<\/p>\n
sin^2\uff08\u03b1\uff09+cos^2\uff08\u03b1\uff09=1<\/p>\n
tan^2\uff08\u03b1\uff09+1=sec^2\uff08\u03b1\uff09<\/p>\n
cot^2\uff08\u03b1\uff09+1=csc^2\uff08\u03b1\uff09<\/p>\n
\u2462\u79ef\u7684\u5173\u7cfb\uff1a<\/p>\n
sin\u03b1=tan\u03b1\u00b7cos\u03b1<\/p>\n
cos\u03b1=cot\u03b1\u00b7sin\u03b1<\/p>\n
tan\u03b1=sin\u03b1\u00b7sec\u03b1<\/p>\n
cot\u03b1=cos\u03b1\u00b7csc\u03b1<\/p>\n
sec\u03b1=tan\u03b1\u00b7csc\u03b1<\/p>\n
csc\u03b1=sec\u03b1\u00b7cot\u03b1<\/p>\n
\u2463\u5012\u6570\u5173\u7cfb\uff1a<\/p>\n
tan\u03b1\u00b7cot\u03b1=1<\/p>\n
sin\u03b1\u00b7csc\u03b1=1<\/p>\n
cos\u03b1\u00b7sec\u03b1=1<\/p>\n
\u4e09\u3001\u9510\u89d2\u4e09\u89d2\u51fd\u6570\u516c\u5f0f<\/p>\n
\u2460\u4e24\u89d2\u548c\u5dee\u516c\u5f0f\uff1a<\/p>\n
sin\uff08A+B\uff09 = sinAcosB+cosAsinB<\/p>\n
sin\uff08A-B\uff09 = sinAcosB-cosAsinB<\/p>\n
cos\uff08A+B\uff09 = cosAcosB-sinAsinB<\/p>\n
cos\uff08A-B\uff09 = cosAcosB+sinAsinB<\/p>\n
tan\uff08A+B\uff09 = \uff08tanA+tanB\uff09\/\uff081-tanAtanB\uff09<\/p>\n
tan\uff08A-B\uff09 = \uff08tanA-tanB\uff09\/\uff081+tanAtanB\uff09<\/p>\n
cot\uff08A+B\uff09 = \uff08cotAcotB-1\uff09\/\uff08cotB+cotA\uff09<\/p>\n
cot\uff08A-B\uff09 = \uff08cotAcotB+1\uff09\/\uff08cotB-cotA\uff09<\/p>\n
\u2461\u4e09\u89d2\u548c\u7684\u516c\u5f0f\uff1a<\/p>\n
sin\uff08\u03b1+\u03b2+\u03b3\uff09=sin\u03b1\u00b7cos\u03b2\u00b7cos\u03b3+cos\u03b1\u00b7sin\u03b2\u00b7cos\u03b3+cos\u03b1\u00b7cos\u03b2\u00b7sin\u03b3-sin\u03b1\u00b7sin\u03b2\u00b7sin\u03b3<\/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
\u2462\u500d\u89d2\u516c\u5f0f\uff1a<\/p>\n
tan2A = 2tanA\/\uff081-tan? A\uff09<\/p>\n
Sin2A=2SinA?CosA<\/p>\n
Cos2A = Cos^2 A–Sin? A =2Cos? A-1 =1-2sin^2 A<\/p>\n
\u2463\u4e09\u500d\u89d2\u516c\u5f0f\uff1a<\/p>\n
sin3A = 3sinA-4\uff08sinA\uff09\uff1f<\/p>\n
cos3A = 4\uff08cosA\uff09\uff1f -3cosA<\/p>\n
tan3a = tan a ? tan\uff08\u03c0\/3+a\uff09\uff1f tan\uff08\u03c0\/3-a\uff09<\/p>\n
\u2464\u534a\u89d2\u516c\u5f0f\uff1a<\/p>\n
sin\uff08\u03b1\/2\uff09=\u00b1\u221a\uff08\uff081-cos\u03b1\uff09\/2\uff09<\/p>\n
cos\uff08\u03b1\/2\uff09=\u00b1\u221a\uff08\uff081+cos\u03b1\uff09\/2\uff09<\/p>\n
tan\uff08\u03b1\/2\uff09=\u00b1\u221a\uff08\uff081-cos\u03b1\uff09\/\uff081+cos\u03b1\uff09\uff09=sin\u03b1\/\uff081+cos\u03b1\uff09=\uff081-cos\u03b1\uff09\/sin\u03b1<\/p>\n
\u2465\u79ef\u5316\u548c\u5dee\u516c\u5f0f\uff1a<\/p>\n
sin\u03b1\u00b7cos\u03b2=\uff081\/2\uff09[sin\uff08\u03b1+\u03b2\uff09+sin\uff08\u03b1-\u03b2\uff09]<\/p>\n
cos\u03b1\u00b7sin\u03b2=\uff081\/2\uff09[sin\uff08\u03b1+\u03b2\uff09-sin\uff08\u03b1-\u03b2\uff09]<\/p>\n
cos\u03b1\u00b7cos\u03b2=\uff081\/2\uff09[cos\uff08\u03b1+\u03b2\uff09+cos\uff08\u03b1-\u03b2\uff09]<\/p>\n
sin\u03b1\u00b7sin\u03b2=-\uff081\/2\uff09[cos\uff08\u03b1+\u03b2\uff09-cos\uff08\u03b1-\u03b2\uff09]<\/p>\n
\u2466\u548c\u5dee\u5316\u79ef\u516c\u5f0f\uff1a<\/p>\n
sin\u03b1+sin\u03b2=2sin[\uff08\u03b1+\u03b2\uff09\/2]cos[\uff08\u03b1-\u03b2\uff09\/2]<\/p>\n
sin\u03b1-sin\u03b2=2cos[\uff08\u03b1+\u03b2\uff09\/2]sin[\uff08\u03b1-\u03b2\uff09\/2]<\/p>\n
cos\u03b1+cos\u03b2=2cos[\uff08\u03b1+\u03b2\uff09\/2]cos[\uff08\u03b1-\u03b2\uff09\/2]<\/p>\n
cos\u03b1-cos\u03b2=-2sin[\uff08\u03b1+\u03b2\uff09\/2]sin[\uff08\u03b1-\u03b2\uff09\/2]<\/p>\n
\u2467\u4e07\u80fd\u516c\u5f0f\uff1a<\/p>\n
sin\uff08a\uff09 = [2tan\uff08a\/2\uff09] \/ {1+[tan\uff08a\/2\uff09]?}<\/p>\n
cos\uff08a\uff09 = {1-[tan\uff08a\/2\uff09]^2} \/ {1+[tan\uff08a\/2\uff09]?}<\/p>\n
tan\uff08a\uff09 = [2tan\uff08a\/2\uff09]\/{1-[tan\uff08a\/2\uff09]^2}<\/p>\n
\u2468\u63a8\u5bfc\u516c\u5f0f\uff1a<\/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","protected":false},"excerpt":{"rendered":"
Sin\u662f\u6b63\u5f26\uff0c\u5bf9\u8fb9\u6bd4\u659c\u8fb9\uff0c0\u5ea6\u89d2\u5bf9\u5e94\u7684\u5bf9\u8fb9\u957f\u5ea6\u5c31\u662f0\uff0c\u800c90\u5ea6\u5bf9\u8fb9\u5c31\u662f\u659c\u8fb9\uff0c\u6240\u4ee5sin90=1\uff0c\u6240\u4ee5\u4ee5\u6b64\u7c7b\u63a8s … \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-32904","post","type-post","status-publish","format-standard","hentry","category-shuxue"],"views":493,"_links":{"self":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/32904","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=32904"}],"version-history":[{"count":2,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/32904\/revisions"}],"predecessor-version":[{"id":32912,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/32904\/revisions\/32912"}],"wp:attachment":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/media?parent=32904"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/categories?post=32904"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/tags?post=32904"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}