9sin²x+25cos²x+32sinx*cosx-25=0Решите пж))). Created by lenas2008. matematika-ru

9sin²x+25cos²x+32sinx*cosx-25=0Решите пж)))...

lenas2008 @lenas2008

August 2022 1 13 Report

9sin²x+25cos²x+32sinx*cosx-25=0
Решите пж)))

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kolyaalexozf1w0 9sin²x+25(cos²x-1)+32sinx*cosx=0
9sin²x-25sin²x+32sinx*cosx=0
32sinx*cosx-16sin²x=0
16sinx(16cosx-sinx)=0
16sinx=0
sinx=0
x=π\2+πn

16cosx-sinx=0
16cosx=sinx
16 =sinx/cosx
tgx=16
x=arcctg16 +πn

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