Автор - nataschakramer

решите,пожалуйста. тригонометрия. cos x/sin2x =cos x

Ответ

Автор - DashaNikitina451

 frac{cosx}{sin2x}  = cosx

 frac{cosx}{2sinx*cosx}  = cosx

 frac{1}{2sinx}  = cosx

 frac{1}{2sinx}  = cosx \ 1 = 2sinx*cosx \ 1 = sin2x

2x = π/2 + 2πk

x = π/4 + πk

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