16 cos3x cos6x cos12x = решить с помощью формулы двойного аргумента. Created by Somebody0325. algebra-ru

16 cos3x cos6x cos12x = решить с помощью формулы двойного аргумента...

Somebody0325 @Somebody0325

June 2022 1 16 Report

16 cos3x cos6x cos12x =
решить с помощью формулы двойного аргумента

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$16\cdot cos3x\cdot cos6x\cdot cos12x=8\cdot \frac{2\, sin3x\cdot cos3x}{sin3x}\cdot cos6x\cdot cos12x=\\\\=\frac{8\cdot sin6x\cdot cos6x}{sin3x}\cdot cos12x=\frac{4\cdot sin12x\cdot cos12x}{sin3x}=\frac{2\cdot sin24x}{sin3x}$

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