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初三三角函数锐角 30°、60°、45° 的 cos、tan、sin 速记技巧,并且不会错的? 关注者 66 被浏览 看一眼俄罗斯wiki上的一个说明吧: В западной литературе тангенс, котангенс и косеканс обозначаются {\displaystyle \tan x,\cot x,\csc x} Тригонометрические функции 发布于 2016-10-03 13:44 知乎用户 6 人赞同了该回答 请问tan tan x,arc tan(tan x),tan(arc tan x)都是怎么算出来的? 请问tan tan x,arc tan(tan x),tan(arc tan x)都是怎么算出来的呀? 详细步骤是怎样的? 以及为什么 显示全部 关注者 15 被浏览
对于单词sine, cosine, tangent, cotangent, secant, cosecant的由来,这里不讨论,这里讨论的是为什么这些三角函数会有如此中文名称。 首先,先看诱导公式五 \sin\left (\frac {\pi} {2}-x\right)=\cos x\\ \tan\left (\frac {\pi} {2}-x\right)=\cot x\\ \sec\left (\frac {\pi} {2}-x\right)=\csc x\\ 然后再重新叙述一遍初中时学过的余角的定义. 至于您提到的“这个数”,在没有具体x值的情况下,tan (90°+x)不是一个固定的数值,而是依赖于x的具体值。 但是,这个表达式展示了正切函数在接近90°时的特殊行为,以及如何通过函数的转换来避免直接处理分母为零的情况。 若正切值大于1,可以先取倒数算出tan (π/2-y),之后按照上述方法求出对应角度,最后记得变换回原角度即可。 上述是我能想到的相对最简便的手动估计反正切函数的方法。
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但是由于∠A=90°,∠B就永远≠90°,只能说越来越接近,而随着x越来越大,这个tan值就会越来越大 我们来想象一下这个极限的情况 为什么计算器上的tan-1次方和实际上1/tan结果不一样? 如图,具体来说是编程语言理解的问题吗 [图片] [图片] [图片] [图片]
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