sinx+sin3x=sin2x+sin4x. Created by joanageorgieva. matematika-ru

sinx+sin3x=sin2x+sin4x...

joanageorgieva @joanageorgieva

August 2022 1 2 Report

sinx+sin3x=sin2x+sin4x

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sedinalana

Verified answer

Sinx+sin3x-sin2x+sin4x=0
2sin2xcosx-2sin3xcosx=0
2cosx(sin2x-sin3x)=0
2cosx*(-2sinx/2*cos5x/2)=0
cosx=0⇒x=π/2+πn,n∈z
sinx/2=0⇒x/2=πk⇒x=2πk,k∈z
cos5x/2=0⇒5x/2=π/2+πm⇒x=π/5+2πm/5,m∈z

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esli x 1ysqrtx1 skolko sqrtx1

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Verified answer

esli x 1ysqrtx1 skolko sqrtx1

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