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Автор - niksa71

Система уравнений:

cos(y)*cos(x)=-0.25
tg(y)=ctg(x)

Буду очень признательна <3

Ответ

Автор - terekosmayev

Ответ:

cosy times cosx =  -  frac{1}{4}  \  frac{siny}{cosy}  =  frac{cosx}{sinx}  =  >  \ sinx times siny =  -  frac{1}{4}

cosy times cosx =  -  frac{1}{4}    \ sinx times siny =  -  frac{1}{4}  \ cos(x + y) =  -  frac{1}{4}  - ( -  frac{1}{4} ) = 0 \ x + y =  frac{pi}{2}  =  > y =  frac{pi}{2}  - x

cos( frac{pi}{2}  - x) times cosx =  -  frac{1}{4}  \ 2(cosx times sinx) =2 times  ( -  frac{1}{4} ) \ sin2x =  -  frac{1}{2}  \ 2x =   - frac{pi}{6}  \ x =   - frac{pi}{12}  \ y =  frac{pi}{2}  +  frac{pi}{12}  =  frac{7pi}{12}

x =  -  frac{pi}{12}  \ y =  frac{7pi}{12}

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