Даю 50 баллов за правильный ответ !Помогите с тригонометрия ! Докажи уравнения :[tex]sin^4 \alpha +cos^4 \alpha -sin^6 \alpha -cos^6 \alpha =sin^2 \alpha cos^2 \alpha [/tex]
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.......................................=sin⁴α (1-sin²α )+ cos⁴α( 1-cos²α) =sin⁴α*cos²α +cos⁴α*sin²α =
=sin²α*cos²α (sin²α +cos²α) =sin²α*cos²α *1 =sin²α*cos²α