arctg计算角度

__________v_o 2023-03-18 13:32

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  0时光机器0

  2023-03-18 13:57

  arctg(也写做arctan)简单来说是tg(也写作tan)的逆运算

  即tg32°=59.4/100arctg59.4/100=32°

  同理还有sin与arcsincos与arccos等

  tg在数学中是对角的一个边做垂线垂线与角的两个边形成直角三角形,该角所对的直角边与该角相邻的直角边的比值

  如下图所示

  arctg计算一般是查表或者用带有计算arctg的计算器

  手算的话如下:

  ^n表示n次方：

  arctanx=x-(x^3)/3+(x^5)/5-(x^7)/7+...

  计算器的话

  10块钱左右的那种科学计算机上就有

  查表的话,

  tan3=0.052407779283041196

  tan4=0.06992681194351041tan5=0.08748866352592401tan6=0.10510423526567646

  tan7=0.1227845609029046tan8=0.14054083470239145tan9=0.15838444032453627

  tan10=0.17632698070846497tan11=0.19438030913771848tan12=0.2125565616700221

  tan13=0.2308681911255631tan14=0.24932800284318068tan15=0.2679491924311227

  tan16=0.2867453857588079tan17=0.30573068145866033tan18=0.3249196962329063

  tan19=0.34432761328966527tan20=0.36397023426620234tan21=0.3838640350354158

  tan22=0.4040262258351568tan23=0.4244748162096047tan24=0.4452286853085361

  tan25=0.4663076581549986tan26=0.4877325885658614tan27=0.5095254494944288

  tan28=0.5317094316614788tan29=0.554309051452769tan30=0.5773502691896257

  tan31=0.6008606190275604tan32=0.6248693519093275tan33=0.6494075931975104

  tan34=0.6745085168424265tan35=0.7002075382097097tan36=0.7265425280053609

  tan37=0.7535540501027942tan38=0.7812856265067174tan39=0.8097840331950072

  tan40=0.8390996311772799tan41=0.8692867378162267tan42=0.9004040442978399

  tan43=0.9325150861376618tan44=0.9656887748070739tan45=0.9999999999999999

  tan46=1.0355303137905693tan47=1.0723687100246826tan48=1.1106125148291927

  tan49=1.1503684072210092tan50=1.19175359259421tan51=1.234897156535051

  tan52=1.2799416321930785tan53=1.3270448216204098tan54=1.3763819204711733

  tan55=1.4281480067421144tan56=1.4825609685127403tan57=1.5398649638145827

  tan58=1.6003345290410506tan59=1.6642794823505173tan60=1.7320508075688767

  tan61=1.8040477552714235tan62=1.8807264653463318tan63=1.9626105055051503

  tan64=2.050303841579296tan65=2.1445069205095586tan66=2.246036773904215

  tan67=2.355852365823753tan68=2.4750868534162946tan69=2.6050890646938023

  tan70=2.7474774194546216tan71=2.904210877675822tan72=3.0776835371752526

  tan73=3.2708526184841404tan74=3.4874144438409087tan75=3.7320508075688776

  tan76=4.0107809335358455tan77=4.331475874284153tan78=4.704630109478456

  tan79=5.144554015970307tan80=5.671281819617707tan81=6.313751514675041

  tan82=7.115369722384207tan83=8.144346427974593tan84=9.514364454222587

  tan85=11.43005230276132tan86=14.300666256711942tan87=19.08113668772816

  tan88=28.636253282915515tan89=57.289961630759144

  tan90=(无限)

  找到后面相近的小数然后找前面的度数就可以了

  百度文库三角函数表里面的介绍非常详细

  arctan(arctg)反三角函数中的反正切。意思为： tan(a) = b; 等价于 arctan(b) = a; 定义域：(-无穷，无穷)； 值域：(-π/2，π/2); 计算性质： arctan A + arctan B =arctan(A+B)/(1-AB) arctan A - arctan B =arctan(A-B)/(1+AB)

  正切tan又写作tg，arctan又可写作arctg，表示反正切，即一个角度的意思。比如tg30度＝0.5，所以arctg0.5=30度。

  是正切函数tg的反函数,一般都是查表得到比如tg45度=1,那么arctg1=45度

  tan的反函数tan=sin/cos
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