Решите уравнение: cos 3x * cos 5x = sin 3x * sin 5x. Created by Miralis11. algebra-ru

Решите уравнение: cos 3x * cos 5x = sin 3x * sin 5x...

Miralis11 @Miralis11

July 2022 1 7 Report

Решите уравнение:
cos 3x * cos 5x = sin 3x * sin 5x

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$Cos3xCos5x=Sin3xSin5x\\\\Cos3xCos5x-Sin3xSin5x=0\\\\Cos(3x+5x)=0\\\\Cos8x= 0\\\\8x= \frac{ \pi }{2}+ \pi n\\\\x= \frac{ \pi }{16} + \frac{ \pi n}{8}$

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