tan 2x

Math Refresher: cot 2x = (1/2) [cot x - tan x]   真的有黃金阿XDLemma 1: cot 2x = (1/2)[cot x - tan x] Proof: (1) cot 2x = 1/tan(2x) = cos(2x)/sin(2x) [See here for definition of tan] (2) cos(2x) = cos 2 (x) - sin 2 (x) [See Lemma 3, here] (3) sin(2x) = 2(sin x)(cos x) [See Lemma 2, here] (4) cos(2x)/sin(2x) = [cos 2 ...

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