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Realgun
@Realgun
June 2022
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Решить уравнение: sin^2(x/2)+sin^2(3x/2)=1
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sedinalana
(1-cosx)/2+(1-cos3x)/2=1
1-cosx+1-cos3x=2
cosx+cos3x=0
2cos2xcosx=0
cos2x=0⇒2x=π/2+πk⇒x=π/4+πk/2
cosx=0⇒x=π/2+πk,k∈z
Ответ x=π/4+πk/2
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Answers & Comments
1-cosx+1-cos3x=2
cosx+cos3x=0
2cos2xcosx=0
cos2x=0⇒2x=π/2+πk⇒x=π/4+πk/2
cosx=0⇒x=π/2+πk,k∈z
Ответ x=π/4+πk/2