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cosα ( sinα+1 ) / sinα*cosα = sinα+1 / sinα = sinα/sinα + 1/ sinα = 1 + 1/sinα czyli L=P c.n.d
i)tgα*( 1+ctg2α) / 1+tg2α = tgα*( 1+ctg2α) / (1 + 1/ctg2α ) =
tgα*( 1+ctg2α) / ( (ctg2α +1 ) / ctg2α ) =
(tgα*( 1+ctg2α) ) * (ctg2α / (ctg2α +1) ) =
tgα*( 1+ctg2α)*ctg2α / (ctg2α +1) = tgα*ctg2α = tgα * 1/tg2α = 1/tgα = ctgα L=P c.n.d
6.a) 1-2sin2α=1- sin2α - sin2α = 1 - ( 1-cos2α )-(1-cos2α ) = 1-1+cos2α-1+cos2α=2 cos2α - 1 L=P c.n.d
b)cos2α-sin2α = cos2α-( 1-cos1α )= cos2α -1+cos2α = 2 cos2α - 1
czyli L=P c.n.d
już mi się literki mylą.... dobranoc...