谁知道30°，45°，60°角的三角函数值啊！最好是列表 30°，45°，60°角的三角函数值是怎么得到
30\u00b0,45\u00b0,60\u00b0\u89d2\u7684\u4e09\u89d2\u51fd\u6570\u503c\u662f\u600e\u4e48\u5f97\u5230\u7684?\u8fd9\u4e09\u4e2a\u89d2\u7684\u4e09\u89d2\u51fd\u6570\u662f\u53ef\u4ee5\u7528\u52fe\u80a1\u5b9a\u7406\u8bc1\u660e\u51fa\u6765\u7684\uff0c\u6bd4\u598230\u00b0\u89d2\u6240\u5bf9\u7684\u76f4\u89d2\u8fb9\u957f\u5ea6\u662f\u659c\u8fb9\u7684\u4e00\u534a\uff0c\u5f88\u81ea\u7136sin30\u00b0=1/2\uff0c30\u00b0\u89d2\u7684\u90bb\u8fb9\u6839\u636e\u52fe\u80a1\u5b9a\u7406\uff1a\u659c\u8fb9\u7684\u5e73\u65b9=\u4e24\u76f4\u89d2\u8fb9\u5e73\u65b9\u7684\u548c\u7b97\u51fa\u7b49\u4e8e3\u4e2a\u5bf9\u8fb9\u7684\u5e73\u65b9\uff0c\u5f88\u81ea\u7136\u90bb\u8fb9\u5c31\u662f\u7b49\u4e8e \u6839\u53f73\u00d7\u5bf9\u8fb9\uff0c\u90a3\u4e48cos30\u00b0=1/\u6839\u53f73 =\u6839\u53f73/3 \u300245\u00b0\u548c60\u00b0\u90fd\u53ef\u4ee5\u8bc1\u660e\u63a8\u5bfc\u51fa\u6765\u3002
\u89e3\u6790\uff1a
\u7b49\u8fb9\u4e09\u89d2\u5f62\u4f5c\u4e00\u6761\u9ad8\u7ebf\uff0c\u5f97\u5230\u4fe9\u76f4\u89d2\u4e09\u89d2\u5f62(30\u00b0\uff0c60\u00b0\uff0c90\u00b0)
\u6839\u636e\u8fb9\u7684\u5173\u7cfb\uff0c
sin30\u00b0=1/2\uff0csin60\u00b0=\u221a3/2
\uff5e\uff5e\uff5e\uff5e\uff5e\uff5e\uff5e\uff5e\uff5e\uff5e\uff5e\uff5e
\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u4e09\u8fb9\u5173\u7cfb(1\uff0c1\uff0c\u221a2)
sin45\u00b0=\u221a2/2
sin4=0.0697564737441253 sin5=0.08715574274765816 sin6=0.10452846326765346
sin7=0.12186934340514747 sin8=0.13917310096006544 sin9=0.15643446504023087
sin10=0.17364817766693033 sin11=0.1908089953765448 sin12=0.20791169081775931
sin13=0.22495105434386497 sin14=0.24192189559966773 sin15=0.25881904510252074
sin16=0.27563735581699916 sin17=0.2923717047227367 sin18=0.3090169943749474
sin19=0.3255681544571567 sin20=0.3420201433256687 sin21=0.35836794954530027
sin22=0.374606593415912 sin23=0.3907311284892737 sin24=0.40673664307580015
sin25=0.42261826174069944 sin26=0.4383711467890774 sin27=0.45399049973954675
sin28=0.4694715627858908 sin29=0.48480962024633706 sin30=0.49999999999999994
sin31=0.5150380749100542 sin32=0.5299192642332049 sin33=0.544639035015027
sin34=0.5591929034707468 sin35=0.573576436351046 sin36=0.5877852522924731
sin37=0.6018150231520483 sin38=0.6156614753256583 sin39=0.6293203910498375
sin40=0.6427876096865392 sin41=0.6560590289905073 sin42=0.6691306063588582
sin43=0.6819983600624985 sin44=0.6946583704589972 sin45=0.7071067811865475
sin46=0.7193398003386511 sin47=0.7313537016191705 sin48=0.7431448254773941
sin49=0.7547095802227719 sin50=0.766044443118978 sin51=0.7771459614569708
sin52=0.7880107536067219 sin53=0.7986355100472928 sin54=0.8090169943749474
sin55=0.8191520442889918 sin56=0.8290375725550417 sin57=0.8386705679454239
sin58=0.848048096156426 sin59=0.8571673007021122 sin60=0.8660254037844386
sin61=0.8746197071393957 sin62=0.8829475928589269 sin63=0.8910065241883678
sin64=0.898794046299167 sin65=0.9063077870366499 sin66=0.9135454576426009
sin67=0.9205048534524404 sin68=0.9271838545667873 sin69=0.9335804264972017
sin70=0.9396926207859083 sin71=0.9455185755993167 sin72=0.9510565162951535
sin73=0.9563047559630354 sin74=0.9612616959383189 sin75=0.9659258262890683
sin76=0.9702957262759965 sin77=0.9743700647852352 sin78=0.9781476007338057
sin79=0.981627183447664 sin80=0.984807753012208 sin81=0.9876883405951378
sin82=0.9902680687415704 sin83=0.992546151641322 sin84=0.9945218953682733
sin85=0.9961946980917455 sin86=0.9975640502598242 sin87=0.9986295347545738
sin88=0.9993908270190958 sin89=0.9998476951563913
sin90=1
cos1=0.9998476951563913 cos2=0.9993908270190958 cos3=0.9986295347545738
cos4=0.9975640502598242 cos5=0.9961946980917455 cos6=0.9945218953682733
cos7=0.992546151641322 cos8=0.9902680687415704 cos9=0.9876883405951378
cos10=0.984807753012208 cos11=0.981627183447664 cos12=0.9781476007338057
cos13=0.9743700647852352 cos14=0.9702957262759965 cos15=0.9659258262890683
cos16=0.9612616959383189 cos17=0.9563047559630355 cos18=0.9510565162951535
cos19=0.9455185755993168 cos20=0.9396926207859084 cos21=0.9335804264972017
cos22=0.9271838545667874 cos23=0.9205048534524404 cos24=0.9135454576426009
cos25=0.9063077870366499 cos26=0.898794046299167 cos27=0.8910065241883679
cos28=0.882947592858927 cos29=0.8746197071393957 cos30=0.8660254037844387
cos31=0.8571673007021123 cos32=0.848048096156426 cos33=0.838670567945424
cos34=0.8290375725550417 cos35=0.8191520442889918 cos36=0.8090169943749474
cos37=0.7986355100472928 cos38=0.7880107536067219 cos39=0.7771459614569709
cos40=0.766044443118978 cos41=0.754709580222772 cos42=0.7431448254773942
cos43=0.7313537016191705 cos44=0.7193398003386512 cos45=0.7071067811865476
cos46=0.6946583704589974 cos47=0.6819983600624985 cos48=0.6691306063588582
cos49=0.6560590289905074 cos50=0.6427876096865394 cos51=0.6293203910498375
cos52=0.6156614753256583 cos53=0.6018150231520484 cos54=0.5877852522924731
cos55=0.5735764363510462 cos56=0.5591929034707468 cos57=0.5446390350150272
cos58=0.5299192642332049 cos59=0.5150380749100544 cos60=0.5000000000000001
cos61=0.4848096202463371 cos62=0.46947156278589086 cos63=0.4539904997395468
cos64=0.43837114678907746 cos65=0.42261826174069944 cos66=0.4067366430758004
cos67=0.3907311284892737 cos68=0.3746065934159122 cos69=0.35836794954530015
cos70=0.3420201433256688 cos71=0.32556815445715675 cos72=0.30901699437494745
cos73=0.29237170472273677 cos74=0.27563735581699916 cos75=0.25881904510252074
cos76=0.24192189559966767 cos77=0.22495105434386514 cos78=0.20791169081775923
cos79=0.19080899537654491 cos80=0.17364817766693041 cos81=0.15643446504023092
cos82=0.13917310096006546 cos83=0.12186934340514749 cos84=0.10452846326765346
cos85=0.08715574274765836 cos86=0.06975647374412523 cos87=0.052335956242943966
cos88=0.03489949670250108 cos89=0.0174524064372836
cos90=0
tan1=0.017455064928217585 tan2=0.03492076949174773 tan3=0.052407779283041196
tan4=0.06992681194351041 tan5=0.08748866352592401 tan6=0.10510423526567646
tan7=0.1227845609029046 tan8=0.14054083470239145 tan9=0.15838444032453627
tan10=0.17632698070846497 tan11=0.19438030913771848 tan12=0.2125565616700221
tan13=0.2308681911255631 tan14=0.24932800284318068 tan15=0.2679491924311227
tan16=0.2867453857588079 tan17=0.30573068145866033 tan18=0.3249196962329063
tan19=0.34432761328966527 tan20=0.36397023426620234 tan21=0.3838640350354158
tan22=0.4040262258351568 tan23=0.4244748162096047 tan24=0.4452286853085361
tan25=0.4663076581549986 tan26=0.4877325885658614 tan27=0.5095254494944288
tan28=0.5317094316614788 tan29=0.554309051452769 tan30=0.5773502691896257
tan31=0.6008606190275604 tan32=0.6248693519093275 tan33=0.6494075931975104
tan34=0.6745085168424265 tan35=0.7002075382097097 tan36=0.7265425280053609
tan37=0.7535540501027942 tan38=0.7812856265067174 tan39=0.8097840331950072
tan40=0.8390996311772799 tan41=0.8692867378162267 tan42=0.9004040442978399
tan43=0.9325150861376618 tan44=0.9656887748070739 tan45=0.9999999999999999
tan46=1.0355303137905693 tan47=1.0723687100246826 tan48=1.1106125148291927
tan49=1.1503684072210092 tan50=1.19175359259421 tan51=1.234897156535051
tan52=1.2799416321930785 tan53=1.3270448216204098 tan54=1.3763819204711733
tan55=1.4281480067421144 tan56=1.4825609685127403 tan57=1.5398649638145827
tan58=1.6003345290410506 tan59=1.6642794823505173 tan60=1.7320508075688767
tan61=1.8040477552714235 tan62=1.8807264653463318 tan63=1.9626105055051503
tan64=2.050303841579296 tan65=2.1445069205095586 tan66=2.246036773904215
tan67=2.355852365823753 tan68=2.4750868534162946 tan69=2.6050890646938023
tan70=2.7474774194546216 tan71=2.904210877675822 tan72=3.0776835371752526
tan73=3.2708526184841404 tan74=3.4874144438409087 tan75=3.7320508075688776
tan76=4.0107809335358455 tan77=4.331475874284153 tan78=4.704630109478456
tan79=5.144554015970307 tan80=5.671281819617707 tan81=6.313751514675041
tan82=7.115369722384207 tan83=8.144346427974593 tan84=9.514364454222587
tan85=11.43005230276132 tan86=14.300666256711942 tan87=19.08113668772816
tan88=28.636253282915515 tan89=57.289961630759144
tan90=(无限)
图片来源自http://baike.baidu.com/view/91555.htm?fr=aladdin
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sin30=1/2，cos30=（根号3）/2，tan30=（根号3）/3
sin45=（根号2）/2，cos45=（根号2）/2，tan45=1
sin60=cos30，cos60=sin30，tan60=根号3
绛旓細tan120=0.713锛泃an120掳=-tan60掳 sin135=0.088锛泂in135掳=sin45掳 cos135=-0.996锛沜os135掳=-cos45掳 tan135=-0.0887锛泃an135掳=-tan45掳 sin150=-0.7149锛泂in150掳=sin30掳 cos150=-0.699锛沜os150掳=-cos30掳 tan150=-1.022锛泃an150掳=-tan30掳 sin165=0.998锛泂in165掳=si...
绛旓細cos55=0.5735764363510462 cos56=0.5591929034707468 cos57=0.5446390350150272 cos58=0.5299192642332049 cos59=0.5150380749100544 cos60=0.5000000000000001 cos61=0.4848096202463371 cos62=0.46947156278589086 cos63=0.4539904997395468 cos64=0.43837114678907746 cos65=0.42261826174069944 cos66=0.406736643075...
绛旓細30搴︺45搴︺60搴︾殑涓夎鍑芥暟鍊硷細1銆佹寮﹀硷細30搴︾瓑浜1/2锛45搴︾瓑浜庘垰2/2 锛60搴︾瓑浜庘垰3/2 銆2銆佷綑寮﹀硷細30搴︾瓑浜庘垰3/2锛45搴︾瓑浜庘垰2/2锛60搴︾瓑浜1/2銆3銆佹鍒囧硷細30搴︾瓑浜庘垰3/3锛45搴︾瓑浜1锛60搴︾瓑浜庘垰3銆30搴45搴60搴﹁鐨勪笁瑙掑嚱鏁板 涓夎鍑芥暟鏄熀鏈垵绛夊嚱鏁颁箣涓锛屾槸浠ヨ搴︿负鑷彉閲...
绛旓細姝ｅ鸡鍊硷細30搴︽槸浜屽垎涔嬩竴锛45搴︽槸浜屽垎涔嬫牴鍙蜂簩 锛60搴︽槸浜屽垎涔嬫牴鍙蜂笁 銆備綑寮﹀硷細30搴︽槸浜屽垎涔嬫牴鍙蜂笁 锛45搴︽槸浜屽垎涔嬫牴鍙蜂簩 锛60搴︽槸浜屽垎涔嬩竴 銆傛鍒囧硷細30搴︽槸涓夊垎涔嬫牴鍙蜂笁 锛45搴︽槸涓 锛60搴︽槸鏍瑰彿涓 銆傜浉鍏冲叕寮 cos(伪+尾)=cos伪路cos尾-sin伪路sin尾 cos(伪-尾)=cos伪路cos尾...
绛旓細30掳锛45掳锛60掳瑙鐨勪笁瑙掑嚱鏁板煎垎鍒槸锛氭寮﹀硷細30搴︽槸浜屽垎涔嬩竴锛45搴︽槸浜屽垎涔嬫牴鍙蜂簩锛60搴︽槸浜屽垎涔嬫牴鍙蜂笁銆備綑寮﹀硷細30搴︽槸浜屽垎涔嬫牴鍙蜂笁锛45搴︽槸浜屽垎涔嬫牴鍙蜂簩锛60搴︽槸浜屽垎涔嬩竴銆傛鍒囧硷細30搴︽槸涓夊垎涔嬫牴鍙蜂笁锛45搴︽槸涓锛60搴︽槸鏍瑰彿涓夈傜浉鍏冲叕寮忥細cos=cos伪路cos尾-sin伪路sin尾cos=cos...
绛旓細30搴45搴60搴90搴︾殑浣欏鸡銆佹鍒囥佹寮︺佷綑鍒囨墍瀵瑰簲鐨勫煎鍥炬墍绀猴細
绛旓細sin30掳=1/2 sin45掳=鈭2/2 sin60掳=鈭3/2 姝ｅ鸡锛坰ine锛夊湪鐩磋涓夎褰腑锛屼换鎰忎竴閿愯鈭燗鐨勫杈逛笌鏂滆竟鐨勬瘮鍙仛鈭燗鐨勬寮︼紝璁颁綔sinA锛堢敱鑻辫sine涓璇嶇畝鍐欏緱鏉ワ級銆傛寮﹀叕寮忔槸锛歴in=鐩磋涓夎褰㈢殑瀵硅竟姣旀枩杈广傛枩杈逛负r锛屽杈逛负y锛岄偦杈逛负a锛屾枩杈箁涓庨偦杈筧澶硅Ar鐨勬寮inA=y/r锛屾棤璁篴锛寉锛宺涓...
绛旓細tan30掳=鈭3/3 cot30掳=鈭3 sec30掳=2鈭3/3 csc30掳=2 === sin45掳=鈭2/2 cos45掳=鈭2/2 tan45掳=1 cot45掳=1 sec45掳=鈭2 csc45掳=鈭2 === sin60掳=鈭3/2 cos60掳=1/2 tan60掳=鈭3 cot60掳=鈭3/3 sec60掳=2 csc60掳=2鈭3/3 ...
绛旓細sin30=1/2,cos30=鈭3/2,t伪n30=鈭3/3锛宑ot30=鈭3锛宻ec30=2鈭3/3锛宑sc30=2 sin45=鈭2/2,cos45=鈭2/2,t伪n45=1锛1锛2锛2 sin60=鈭3/2,cos60=1/2,t伪n60=鈭3锛3/3锛2锛2鈭3/3
绛旓細鐢ㄤ竴鍓笁瑙掑昂鍙互鐢诲嚭鐨勮鏄涓嬶細1銆侀鍏堟槸涓涓鐢诲嚭鏉ョ殑锛30掳銆45掳銆60掳銆90掳銆2銆佸叾娆℃槸涓や釜瑙掔粍鍚堢殑锛15掳銆75掳銆105掳銆120掳銆135掳銆150掳锛15=45-30锛75=45+30锛105=45+60锛120=60+60锛135=45+90锛150=60+90锛夈3銆佸啀娆℃槸涓変釜瑙掔粍鍚堢殑锛165掳锛165=30+45+90锛夈4...
