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Автор - lacosteandre

Спростити вираз sin4α – cos4α – sin2α + cos2α

Ответ

Автор - ruslank1460

sin4α – cos4α – sin2α + cos2α = sin4α  – sin2α + cos2α – cos4α = 2sinαcos3α + 2sinαsin3α = 2sinα(cos3α + sin3α) = 2sinα·√2sin(3α + π/4) = 2√2sinα·sin(3α + π/4)

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