arcctg(4x-1)=arcsin 1 (найдите x). Created by Demid1234567890. algebra-ru

arcctg(4x-1)=arcsin 1 (найдите x)...

NNNLLL54

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$arcctg(4x-1)=arcsin1\\\\arcctg(4x-1)=\frac{\pi}{2}\\\\ctg\Big (arcctg(4x-1)\Big )=ctg\frac{\pi}{2}\\\\\star \; \; ctg(arcctg \alpha )= \alpha \; ,\; esli\; \; -\infty \ \textless \ \alpha \ \textless \ +\infty\; \; \star \\\\4x-1=ctg\frac{\pi}{2}\\\\4x-1=0\\\\4x=1\\\\x=\frac{1}{4}$

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sharadi

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Arcctg(4x-1)=arcsin 1
Arcctg(4x-1)=π/2
4х -1 = 0
4х = 1
х = 0,25

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Demid1234567890 спасибо, опять ты)

sharadi хм... опять я...

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