Решить уравнение 2sin(6x)cos(2x)=cos(pi/2-8x)+1. Created by Realgun. algebra-ru

2-8x)+1...

June 2022 1 15 Report

Решить уравнение
2sin(6x)cos(2x)=cos(pi/2-8x)+1

Answers & Comments

sedinalana 2sin6xcos2x=sin8x+1
2sin6xcos2x=sin(6x+2x)+1
2sin6xcos2x-sin6xcos2x-cos6xsin2x=1
sin6xcos2x-cos6xsin2x=1
sin(6x-2x)=1
sin4x=1
4x=π/2+2πk
x=π/8+πk/2,k∈z

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