Автор - Vonka2

ctg x - ((sin x) / (1 - cos x)) = -((1)/ (sin x))
тотожность

Ответ

Автор - belovaept

ctgx-frac{sinx}{1-cosx} =-frac{1}{sinx} \ frac{cosx}{sinx} -frac{sinx}{1-cosx} +frac{1}{sinx}=0\ frac{(1-cosx)*cosx-sin^{2}+1-cosx }{(1-cosx)sinx} =0\frac{cosx-cos^{2}x+cos^{2} x-cosx }{(1-cosx)sinx} =0\frac{0}{(1-cosx)sinx} =0\0=0

х ∈ R

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