A)cos(5x+4pi/5)=1. b)sin(x/2+2pi/3)=1 - вопрос №545122315972804 от dasha1949 26.03.2023 18:40

Question

Математика: A)cos(5x+4pi/5)=1. b)sin(x/2+2pi/3)=1

dasha1949 · Answer

A)сos(5x+4π/5)=1.    B)sin(x/2+2π/3)=1
5x+4π/5=2πn,n∈Z x/2+2π/3=π/2+2πn,n∈Z
5x= 2πn-4π/5 ,n∈Z x/2= π/2-2π/3+2πn,n∈Z
x=2πn/5-4π/25,n∈Z      x/2= -π/6+2πn,n∈Z
ответ:x=2πn/5-4π/25,n∈Z    x=-π/3+4πn,n∈Z
ответ: x=-π/3+4πn,n∈Z