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666Nika999
@666Nika999
August 2022
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sinxsin2x+sinx-sinxcosx-1/2=0 помогите решить, пожалуйста
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makuzkinap195y6
Sinx(sin2x+1)-1/2(2sinxcosx+1)=0.
Sinx(sin2x+1)-1/2(sin2x+1)=0.
(sin2x+1)(sinx-1/2)=0.
Sin2x=-1, 2x=3pi/2, x=3pi/4=135°.
Sinx=1/2, x=pi/6=30°
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Answers & Comments
Sinx(sin2x+1)-1/2(sin2x+1)=0.
(sin2x+1)(sinx-1/2)=0.
Sin2x=-1, 2x=3pi/2, x=3pi/4=135°.
Sinx=1/2, x=pi/6=30°