V2EX reference angle

Reference angle

Definition / 释义

(数学)参考角:在三角函数中,指一个角的终边x 轴之间形成的锐角,用来把任意角化为与之相关的锐角,从而简化正弦、余弦、正切等值的求法。(不同象限只影响符号)

Pronunciation / 发音(IPA)

/rf()rns l/

Examples / 例句

Find the reference angle of 210°.
求 210° 的参考角。

To evaluate sin(135°), first determine its reference angle and then apply the correct sign based on the quadrant.
要计算 sin(135°),先求它的参考角,再根据所在象限确定正负号。

Etymology / 词源

reference 来自 “refer(提及、参照)”,表示“用来对照的”;angle 源自拉丁语 angulus,意为“角”。合起来 reference angle 就是“用于参照的角”,强调它在三角函数计算中作为“对照基准”的作用。

Related Words / 相关词汇

Literary Works / 文献与作品中的用例

  • Precalculus: Mathematics for Calculus(Stewart, Redlin, Watson)三角函数章节常用 “reference angle” 讲解象限与符号规律
  • Trigonometry(Lial, Hornsby, Schneider)用参考角统一计算任意角的三角函数值
  • OpenStax Precalculus(开放教材)单位圆与参考角的标准定义与练习题中频繁出现
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     2807 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 63ms UTC 12:41 PVG 20:41 LAX 05:41 JFK 08:41
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86