Odpowiedzi

2010-02-21T02:45:53+01:00
Sinx + cosx= √2/2
sinx = √2/2 - cosx

sinx * cosx= (√2/2 - cosx) * cos x = √2/2cosx - cos²x

sin³x +cos³x
(sinx + cosx)³= (√2/2)³
sin³x + 3sin²xcosx + 3sinxcos²x + cos³x = 2√2/8
sin³x + cos³x + 3sinxcosx * (sinx + cosx) =
sin³x + cos³x = √2/4 - 3√2/2*sinxcosx
4 1 4