0.5×sin2x×ctgx-cosx=sin^2x. Created by LisEhites. matematika-ru

0.5×sin2x×ctgx-cosx=sin^2x...

July 2022 1 1 Report

0.5×sin2x×ctgx-cosx=sin^2x

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rossa1783 Ctgx=cosx/sinx
sin2x=2sinx*cosx

0.5*sin2x*ctgx - cosx = sin^2 x

0.5*2*sinx*cosx*cosx/sinx - cox = 1 - cos^2 x

cos^2 x - cosx - 1 + cos^2 x =0

2cos^2 x - cosx - 1 = 0

cosx = t

2t^2 - t - 1 = 0
D=1-4*2*(-1)=9
t1=1
t2=-0.5
1. cosx=1
2. cosx=-0.5
отсюда находим х

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05sin2xctgx cosxsin2x23478b36ace520c9fa9508f9af4ef067 97712

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LisEhites July 2022 | 0 Ответы

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LisEhites July 2022 | 0 Ответы

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