oblicz wartość wyrażenia sin^5α+2sin^3α*cos^2α+sinα*cos^4α
sin⁵α+2sin³α·cos²α+sinα·cos⁴α =
= sinα(sin⁴α+2sin²αcos²α+cos⁴α)
= sinα(sin²α+cos²α)² =
= sinα·1 =
= sinα
=====
sin²α+cos²α = 1
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sin⁵α+2sin³α·cos²α+sinα·cos⁴α =
= sinα(sin⁴α+2sin²αcos²α+cos⁴α)
= sinα(sin²α+cos²α)² =
= sinα·1 =
= sinα
=====
sin²α+cos²α = 1