sprawdz tożsamości: a)(sin alpha +cos alpha )^{2} + (sin apha -cos alpha )^2=2 b)(tg alpha-1)(ctg alpha+1)=tg alpha-ctg alpha c)1+ctg a;pha = sin apha +cos apa : sin alpha          

sprawdz tożsamości: a)(sin alpha +cos alpha )^{2} + (sin apha -cos alpha )^2=2 b)(tg alpha-1)(ctg alpha+1)=tg alpha-ctg alpha c)1+ctg a;pha = sin apha +cos apa : sin alpha          
Odpowiedź

alfa = x si^2 x + cos^2 x = 1 tgx * ctgx = 1 a) (sinx + cosx)^2 +(sinx - cosx)^2 = 2 L = sn^2 x + 2sinx cosx + cos^2 x + sin^2 x - 2sinxcosx + cos^2 x = 1+1 = 2 L = P b) (tgx -1)(ctgx +1) = tgx - ctgx L = tgx * ctgx + tgx - ctgx -1 = 1 + tgx - ctgx -1 = tgx - ctgx L = P c) 1 + ctgx =(sinx + cosx)/sinx P = (sinx + cosx)/sinx = sinx/sinx + cosx/sinx = 1 + ctgx P = L

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sprawdz tożsamości: a)(sin alpha +cos alpha )^{2} + (sin apha -cos alpha )^2=2 b)(tg alpha-1)(ctg alpha+1)=tg alpha-ctg alpha c)1+ctg a;pha = sin apha +cos apa : sin alpha

sprawdz tożsamości: a)(sin alpha +cos alpha )^{2} + (sin apha -cos alpha )^2=2 b)(tg alpha-1)(ctg alpha+1)=tg alpha-ctg alpha c)1+ctg a;pha = sin apha +cos apa : sin alpha...