Решите уравнение sin2x+sinx=2cosx+1. Created by Докукин9. algebra-ru

Решите уравнение sin2x+sinx=2cosx+1...

July 2022 1 7 Report

Решите уравнение sin2x+sinx=2cosx+1

sedinalana

2sinxcosx+sinx-(2cosx+1)=0
sinx(2cosx+1)-(cosx+1)=0
(2cosx=1)(sinx-1)=0
cosx=-1/2⇒x=+-2π/3+2πn,n∈z
sinx=1⇒x=π/2+2πk,k∈z

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