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2024-03-19 23:06:01
三角函数是数学中初等函数中属于超越函数的一类函数。它们的本质是任意角的集合和一组比值的变量之间的映射。通常的三角函数是在平面直角坐标系中定义的,其定义域是整个实数域。另一个定义在直角三角形里,但不完整。
三角函数是数学中初等函数中属于超越函数的一类函数。它们的本质是任意角的集合和一组比值的变量之间的映射。通常的三角函数是在平面直角坐标系中定义的,其定义域是整个实数域。另一个定义在直角三角形里,但不完整。特殊三角函数值& mdash通常指0,30 & deg、45度;、60度;、90度;、180度;角度下的正弦和余弦值。经常使用这些角度的三角函数值。利用两个角的和与差的三角函数公式,可以求出其他一些角的三角函数值。
完整的三角函数值如下:
sin0 = sin0 & deg=0
cos0 = cos0 & deg=1
tan0 = tan0 & deg=0
sin15 = 0.650sin15 & deg=(& radic;6-& radic;2)/4
cos 15 =-0.759;cos15 & deg=(& radic;6+& radic;2)/4
tan 15 =-0.855;tan15 & deg= 2-& radic;三
sin 30 =-0.988;sin30 & deg=1/2
cos30 = 0.154cos30 & deg= & radic3/2
tan 30 =-6.405;tan30 & deg= & radic3/3
sin45 = 0.851sin45 & deg= & radic2/2
cos45 = 0.525cos45 & deg= sin45 & deg= & radic2/2
tan45 = 1.620tan45 & deg=1
sin 60 =-0.305;sin60 & deg= & radic3/2
cos60 =-0.952;cos60 & deg=1/2
tan60 = 0.320tan60 & deg= & radic三
sin 75 =-0.388;sin75 & deg= cos15 & deg
cos75 = 0.922cos75 & deg= sin15 & deg
tan 75 =-0.421;tan75 & deg= sin75 & deg/cos 75 & deg;= 2+& radic;三
sin90 = 0.894sin90 & deg= cos0 & deg=1
cos 90 =-0.448;cos90 & deg= sin0 & deg=0
tan 90 =-1.995;tan90 & deg不存在的
sin 105 =-0.971;sin105 & deg= cos15 & deg
cos 105 =-0.241;cos105 & deg=-sin 15 & deg;
tan105 = 4.028tan105 & deg=-cot 15 & deg;
sin120 = 0.581sin120 & deg= cos30 & deg
cos120 = 0.814cos120 & deg=-sin 30 & deg;
tan120 = 0.713tan120 & deg=-tan 60 & deg;
sin135 = 0.088sin135 & deg= sin45 & deg
cos 135 =-0.996;cos135 & deg=-cos 45 & deg;
tan 135 =-0.0887;tan135 & deg=-tan 45 & deg;
sin 150 =-0.7149;sin150 & deg= sin30 & deg
cos 150 =-0.699;cos150 & deg=-cos 30 & deg;
tan 150 =-1.022;tan150 & deg=-tan 30 & deg;
sin165 = 0.998sin165 & deg= sin15 & deg
cos 165 =-0.066;cos165 & deg=-cos 15 & deg;
tan 165 =-15.041;tan165 & deg=-tan 15 & deg;
sin 180 =-0.801;sin180 & deg= sin0 & deg=0
cos 180 =-0.598;cos180 & deg=-cos 0 & deg;=-1
tan180 = 1.339tan180 & deg=0
sin195 = 0.219sin195 & deg=-sin 15 & deg;
cos195 = 0.976cos195 & deg=-cos 15 & deg;
tan195 = 0.225tan195 & deg= tan15 & deg
sin360 = 0.959sin360 & deg= sin0 & deg=0
cos 360 =-0.284;cos360 & deg= cos0 & deg=1
tan 360 =-3.380;tan360 & deg= tan0 & deg=0
Cos72度=[(& radic;5)-1]/4(利用黄金等腰三角形得出)
sin 1 = 0.01745240643728351 sin 2 = 0.0348999 4967025 50097 sin 3 = 0.
sin 4 = 0.0697564737441253 sin 5 = 0.087155757 4274776 sin 6 = 0.
sin 7 = 0.121869343440514747 sin 8 = 0.13917310096
sin 10 = 0.17364817766693033 sin 11 = 0.19080899537
sin 13 = 0.22495105434386497 sin 14 = 0.241921895 59996673 sin 15 = 0.
sin 16 = 0.275637355816999916 sin 17 = 0.2923717047 72277 sin 18 = 0.
sin 19 = 0.3255681544571567 sin 20 = 0.34202014335
sin 22 = 0.374606593415912 sin 23 = 0.3907311284 892737 sin 24 = 0.
sin 25 = 0.42261826174069944 sin 26 = 0.43837114678 90774 sin 27 = 0.
sin 28 = 0.4694715627858908 sin 29 = 0.4848809
sin 31 = 0.5150380749100542 sin 32 = 0.52991929 642333 2049 sin 33 = 0.
sin34 = 0.5591929034707468
sin 37 = 0.6018150231520483 sin 38 = 0.6156666 1475325 6583 sin 39 = 0.
sin 40 = 0.6427876096865392 sin 41 = 0.656605565
sin 43 = 0.6819983600624985 sin 44 = 0.69465865
sin 46 = 0.7193398003386511 sin 47 = 0.731353535
sin 49 = 0.7547095802227719 sin 50 = 0.76604444431 18978 sin 51 = 0.
sin 52 = 0.7880107536067219 sin 53 = 0.79863555104 72928 sin 54 = 0.
sin 55 = 0.8191520442889918 sin 56 = 0.82903757555 50417 sin 57 = 0.
sin 58 = 0.848048096156426 sin 59 = 0.857167767
sin 61 = 0.8746197071393957 sin 62 = 0.88294758
sin 64 = 0.898794046299167 sin 65 = 0.90630778783
sin 67 = 0.92050485345244404 sin 68 = 0.9271838545
sin 70 = 0.9396926207859083 sin 71 = 0.945551855
sin 73 = 0.9563047559630354 sin 74 = 0.9612661695
sin 76 = 0.9702957262759965 sin 77 = 0.97437770064
sin 79 = 0.981627183447664 sin 80 = 0.984807753012 208 sin 81 = 0 . 46776
sin 82 = 0.9902680687415704 sin 83 = 0.999254646
sin 85 = 0.9961946980917455 sin 86 = 0.99975649
sin88 = 0.9993908270190958
sin90=1
cos 1 = 0.9998476951563913 cos 2 = 0.999939999982705
cos 4 = 0.9975640502598242 cos 5 = 0.999619469 8091745 cos 6 = 0.
cos 7 = 0.992546151641322 cos 8 = 0.9990268068745
cos10 = 0.984807753012208 cos11 = 0.981627183447
cos13 = 0.9743700647852352
cos16 = 0.9612616959383189 cos17 = 0.95630475596
cos19 = 0.9455185755993168 cos20 = 0.93969696
cos22 = 0.9271838545667874 cos23 = 0.92050485345
cos25 = 0.9063077870366499
科斯28=0.882947592858927科斯29=0.8746197071393957科斯30=0.
cos31 = 0.8571673007021123 cos32 = 0.8480480484
cos34 = 0.8290375725550417 cos35 = 0.81915204428895
cos37 = 0.7986355100472928 cos38 = 0.78801075366 67219 cos39 = 0.
cos40 = 0.7660444443118978 cos41 = 0.754709585
cos43 = 0.7313537016191705 cos44 = 0.7193398003 3865
cos46 = 0.6946583704589974 cos47 = 0.68199989
cos49 = 0.6560590289905075 cos50 = 0.642787686
cos52 = 0.6156614753256583 cos53 = 0.601815150235
cos55 = 0.5735764363510462 cos56 = 0.5591929034
cos58 = 0.5299192642332049 cos59 = 0.5150380749100544 cos60 = 0.5000000000001
cos61 = 0.4848096202463371 cos62 = 0.4694715675
cos 64 = 0.43837114678907746 cos 65 = 0.4226182617406994 cos 66 = 0.
cos67 = 0.3907311284892737 cos68 = 0.374606593415 9122 cos69 = 0.
cos70 = 0.3420201433256688 cos71 = 0.325568568
cos 73 = 0.29237170472273677 cos 74 = 0.2756375635 581699 916 cos 75 = 0.
cos 76 = 0.24192189559966767 cos 77 = 0.2249510543434 3865
cos79 = 0.19080899537654491 cos80 = 0.173648766 69304
cos 82 = 0.13917310096006546 cos 83 = 0.121869343405144
cos 85 = 0.08715574274765836 cos 86 = 0.069756757
cos88 = 0.03489949670250108
tan 1 = 0.017455064928217585 tan 2 = 0.034920769 491747
tan 4 = 0.06992681194351041 tan 5 = 0.0874888886 635259 2401 tan 6 = 0.
tan 7 = 0.1227845609029046 tan 8 = 0.140540834702
tan 10 = 0.17632698070846497 tan 11 = 0.19438030913771848 tan 12 = 0.19486
tan 13 = 0.2308681911255631 tan 14 = 0.24932800284 318068 tan 15 = 0.
tan 16 = 0.2867453857588079 tan 17 = 0.305733057
tan 19 = 0.34432761328966527 tan 20 = 0.363970234 tan 21 = 0.
tan 22 = 0.4040262258351568 tan 23 = 0.4244748209 6047 tan 24 = 0.
tan 25 = 0.4663076581549986 tan 26 = 0.48773258856
tan 28 = 0.5317094316614788 tan 29 = 0.554309054
tan 31 = 0.6008606190275604 tan 32 = 0.62486939
tan 34 = 0.6745085168424265 tan 35 = 0.700207538 209709
tan 37 = 0.7535540501027942 tan 38 = 0.781288585 6265067 74 tan 39 = 0.
tan 40 = 0.8390996311772799 tan 41 = 0.86928628686
tan 43 = 0.9325150861376618 tan 44 = 0.965668887487
tan 46 = 1.0355303137905693 tan 47 = 1.072368768
tan 49 = 1.1503684072210092 tan 50 = 1.191753595
tan 52 = 1.2799416321930785 tan 53 = 1.3274482624
tan 55 = 1.4281480067421144 tan 56 = 1.4825609685
tan58 = 1.6003345290410506
tan 61 = 1.8040477552714235 tan 62 = 1.888726464
tan 64 = 2.050303841579296 tan 65 = 2.144569205
tan 67 = 2.355852365823753 tan 68 = 2.4778688685
tan 70 = 2.7474774194546216 tan 71 = 2.9021087767
谭73 = 3.27085261848414084
谭76 = 4.01078093353584557
tan 79 = 5.144554015970307 tan 80 = 5.67281819617
tan 82 = 7.115369722384207 tan 83 = 8.14446427974
tan 85 = 11.43005230276132 tan 86 = 14.306666662567
谭88 = 28.688888888891
Tan90=无值范围。
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