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tan 1/3 的二倍 多少度?
也就是arctan1/3的2倍,是多少度?
人气:272 ℃ 时间:2020-10-02 03:46:06
解答
tan(2arctan1/3)
= 2tan(arctan1/3)/[1-tan²(arctan1/3)]
= (2/3)/[1-1/9]
= 6/8
= 3/4
于是2arctan1/3 = arctan3/4 ≈ 37°
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