三角函數(shù)值表和數(shù)學(xué)方程式

1、三角函數(shù)值表：sin0=sin0°=0 cos0=cos0°=1 tan0=tan0°=0 sin15=0.657098887；sin15°=（6-2）/4 cos15=-0.75968791285882127384814640363328；cos15°=（6+2）/4 tan15=-0.8559934803；tan15°=2-3 sin30=-0.988178998774890729446；sin30°=1/2 cos30=0.154251449887584050721；cos30°=3/2 tan30=-6.4

2、275784896075505668；tan30°=3/3 sin45=0.851842486237967761804；sin45°=2/2 cos45=0.525321988817729696356；cos45°=sin45°=2/2 tan45=1.61977519827965173949；tan45°=1 sin60=-0.3216747843；sin60°=3/2 cos60=-0.9524129893；cos60°=1/2 tan60=0.3262974938；tan60°=3 sin75=-0.3877

3、81635494219282288；sin75°=cos15° cos75=0.92175126972474931639229684521414；cos75°=sin15° tan75=-0.422435384419621180484；tan75°=sin75°/cos75° =2+3 sin90=0.8939966636；sin90°=cos0°=1 cos90=-0.448439964；cos90°=sin0°=0 tan90=-1.995263796；tan90°不存在

4、 sin105=-0.978472452；sin105°=cos15° cos105=-0.2466395281；cos105°=-sin15° tan105=4.44193492341772197301；tan105°=-cot15° sin120=0.581428928240695979069；sin120°=cos30° cos120=0.8141767989；cos120°=-sin30° tan120=0.7909116875；tan120°=-tan60° sin

5、135=0.40666416798；sin135°=sin45° cos135=-0.996495835764440142782；cos135°=-cos45° tan135=-0.；tan135°=-tan45° sin150=-0.71487642962916463143638609739663；sin150°=sin30° cos150=0.6992582553；cos150°=-cos30° tan150=-1.65875649863661852619；tan150°=-tan

6、30° sin165=0.997797279449890765525；sin165°=sin15° cos165=-0.56237355201；cos165°=-cos15° tan165=-15.04953769；tan165°=-tan15° sin180=-0.8111582099；sin180°=sin0°=0 cos180=-0.598461597；cos180°=-cos0°=-1 tan180=1.338696168；tan180°=0 sin195=0.219

7、454667994063609894；sin195°=-sin15° cos195=0.97562269791944432311811100484535；cos195°=-cos15° tan195=0.2249383051；tan195°=tan15° sin360=0.9589575378；sin360°=sin0°=0 cos360=-0.283691463742432444589；cos360°=cos0°=1 tan360=-3.386112668；tan360°=tan0&

8、#176;=0 cos72=(5)-1/4（利用黃金等腰三角形可得出） sin1=0.728351 sin2=0.250097 sin3=0.294383 sin4=0.41253 sin5=0.087816 sin6=0.165346 sin7=0.124747 sin8=0.006544 sin9=0.023087 sin10=0.17364817766693033 sin11=0.19448 sin12=0.275931 sin13=0.224951 sin14=0.241923 sin15=0.258819 sin16=0.27563735581699916 sin17=0.29237

9sin18=0.39474 sin19=0.3255681544571567 sin20=0.34287 sin21=0.35836794954530027 sin22=0.3746 sin23=0.39737 sin24=0.480015 sin25=0.422644 sin26=0.4383711467890774 sin27=0.453995 sin28=0.46947 sin29=0.484806 sin30=0.49999999999999994 sin31=0.50542 sin32=0.5299192642332049 sin33=0.5446390350

10、15027 sin34=0.5591929034707468 sin35=0.573576436351046 sin36=0.5877852522924731 sin37=0.60183 sin38=0.66583 sin39=0.62932 sin40=0.6427876096865392 sin41=0.65673 sin42=0.66982 sin43=0.6819983600624985 sin44=0.6946583704589972 sin45=0.75475 sin46=0.7193398003386511 sin47=0.73705 sin48=0.74314482547739

11、41 sin49=0.75479 sin50=0.7668 sin51=0.77708 sin52=0.78819 sin53=0.7986355100472928 sin54=0.89474 sin55=0.81918 sin56=0.82917 sin57=0.83867 sin58=0.8486 sin59=0.8571673007021122 sin60=0.86686 sin61=0.8746197071393957 sin62=0.8829475928589269 sin63=0.89178 sin64=0.898794046299167 sin65=0.96499 sin66=0

12、.96009 sin67=0.92404 sin68=0.92773 sin69=0.93358 sin70=0.9396926207859083 sin71=0.9455185755993167 sin72=0.95135 sin73=0.95634 sin74=0.9612616959383189 sin75=0.9659258262890683 sin76=0.97965 sin77=0.97437 sin78=0.97857 sin79=0.981627183447664 sin80=0.9848 sin81=0.9876883405951378 sin82=0.99704 sin83

13、=0.992546151641322 sin84=0.99452 sin85=0.9961946980917455 sin86=0.9975640502598242 sin87=0.9986295347545738 sin88=0.99939 sin89=0.9998476951563913 sin90=1 cos1=0.9998476951563913 cos2=0.99939 cos3=0.9986295347545738 cos4=0.9975640502598242cos5=0.9961946980917455 cos6=0.99452 cos7=0.992546151641322 c

14、os8=0.99704 cos9=0.9876883405951378 cos10=0.9848 cos11=0.981627183447664 cos12=0.97857 cos13=0.97437 cos14=0.97965 cos15=0.9659258262890683 cos16=0.9612616959383189 cos17=0.95635 cos18=0.95135 cos19=0.9455185755993168 cos20=0.9396926207859084 cos21=0.93358 cos22=0.92774 cos23=0.92404 cos24=0.96009 c

15、os25=0.96499 cos26=0.898794046299167 cos27=0.89179 cos28=0.882947592858927 cos29=0.8746197071393957 cos30=0.86687 cos31=0.8571673007021123 cos32=0.8486 cos33=0.838670567945424 cos34=0.82917 cos35=0.81918 cos36=0.89474 cos37=0.7986355100472928 cos38=0.78819 cos39=0.77709 cos40=0.7668 cos41=0.7547 cos

16、42=0.7431448254773942 cos43=0.73705 cos44=0.7193398003386512 cos45=0.75476 cos46=0.6946583704589974 cos47=0.6819983600624985 cos48=0.66982 cos49=0.65674 cos50=0.6427876096865394 cos51=0.62932 cos52=0.66583 cos53=0.60184 cos54=0.5877852522924731 cos55=0.5735764363510462 cos56=0.5591929034707468 cos57

17、=0.5446390350150272 cos58=0.5299192642332049 cos59=0.50544 cos60=0.50001 cos61=0.48481 cos62=0.469476 cos63=0.45399 cos64=0.43837114678907746 cos65=0.422644 cos66=0.48004 cos67=0.39737 cos68=0.37462 cos69=0.35836794954530015 cos70=0.34288 cos71=0.32556815445715675 cos72=0.394745 cos73=0.292371704722

18、73677 cos74=0.27563735581699916 cos75=0.258819 cos76=0.241927 cos77=0.224951 cos78=0.275923 cos79=0.194491 cos80=0.17364817766693041 cos81=0.023092 cos82=0.006546 cos83=0.124749 cos84=0.165346 cos85=0.087836 cos86=0.412523 cos87=0.2943966 cos88=0.250108 cos89=0.72836 cos90=0 tan1=0.8217585 tan2=0.17

19、4773 tan3=0.3041196 tan4=0.351041 tan5=0.592401 tan6=0.167646 tan7=0.1227845609029046 tan8=0.149145 tan9=0.453627 tan10=0.17632698070846497 tan11=0.194388 tan12=0.2125565616700221 tan13=0.23631 tan14=0.249328 tan15=0.2679491924311227 tan16=0.2867453857588079 tan17=0.366033 tan18=0.3249196962329063 t

20、an19=0.34432761328966527 tan20=0.363974 tan21=0.3838640350354158 tan22=0.41568 tan23=0.4244748162096047 tan24=0.4452286853085361 tan25=0.46636 tan26=0.4877325885658614 tan27=0.54288 tan28=0.53178 tan29=0.5543 tan30=0.57735 tan31=0.65604 tan32=0.6248693519093275 tan33=0.64944 tan34=0.67455 tan35=0.77

21、097 tan36=0.7265425280053609 tan37=0.7535540501027942 tan38=0.7812856265067174 tan39=0.80072 tan40=0.83999 tan41=0.8692867378162267 tan42=0.98399 tan43=0.93258 tan44=0.9656887748070739 tan45=0.9999999999999999 tan46=1.05693 tan47=1.46826 tan48=1.11927 tan49=1.10092 tan50=1.19175359259421 tan51=1.234

22、897156535051 tan52=1.2799416321930785 tan53=1.32798 tan54=1.3763819204711733 tan55=1.4281480067421144 tan56=1.48256 tan57=1.5398649638145827 tan58=1.60506 tan59=1.6642794823505173 tan60=1.73267 tan61=1.84235 tan62=1.88318 tan63=1.96261 tan64=2.9296 tan65=2.14456 tan66=2.2465 tan67=2.355852365823753

23、tan68=2.47546 tan69=2.68023 tan70=2.7474774194546216 tan71=2.9822 tan72=3.52526 tan73=3.27404 tan74=3.4874144438409087 tan75=3.73276 tan76=4.58455 tan77=4.3353 tan78=4.7456 tan79=5.144554015970307 tan80=5.671281819617707 tan81=6.3041 tan82=7.1207 tan83=8.144346427974593 tan84=9.514364454222587 tan85

24、=11.432 tan86=14.3942 tan87=19.081 tan88=28.636253282915515 tan89=57.289961630759144 tan90=無取值數(shù)學(xué)方程式：數(shù)關(guān)系tan ·cot=1 sin ·csc=1 cos ·sec=1 商數(shù)關(guān)系tan=sin/cos cot=cos/sin平方關(guān)系sin²+cos²=1 1+tan²=sec² 1+cot&sup2=csc² 以下關(guān)系，函數(shù)名不變，圖像看象限. sin（2k+）=si

25、n cos（2k+）=cos tan（2k+）=tan cot（2k+）=cot sin（+）=-sin cos（+）=-cos tan（+）=tan cot（+）=cot sin（）=sin cos（）=-cos tan（）=-tan cot（）=-cot sin（2）=-sin cos（2）=cos tan（2）=-tan cot（2）=-cot 以下關(guān)系，奇變偶不變，符號看象限 sin（90°-）=cos cos（90°-）=sin tan（90°-）=cot cot（90°-）=tan sin（90°+）=cos cos（90°

26、;+）=-sin tan（90°+）=-cot cot（90°+）=-tan sin（270°-)=-cos cos（270°-)=-sin tan（270°-)=cot cot（270°-)=tan sin（270°+）=cos cos（270°+）=sin tan（270°+）=-cot cot（270°+）=-tan 積化合差公式sin ·cos=（1/2）*sin（+）+sin（） cos ·sin=（1/2）*sin（+）sin（） cos ·cos=（1/2）*cos（+）+cos（） sin ·sin=（1/2）*cos（+）cos（） 和差化積公式sin +sin=2sin(+)/2·cos(-)/2 sin -sin =2cos(+)/2·sin(-)/2 cos