udowodnij tożsamość
a) 1 + ctg(alfa) = sin(alfa) + cos(alfa) / sin(alfa)
b) ctg(alfa) + siin(alfa) / 1 + cos(alfa) = 1 / sin(alfa)
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1 cosa sina cosa sina + cosa
1 + ctga =----- +-------- = -------- +--------- = -----------------
1 sina sina sina sina
sina cosa sina cosa(1 + cosa) + sina * sina cosa + cos²a + sin²a
ctga + -------------- = --------- + --------- = -------------------------------------- = --------------------------------
1 + cosa sina 1 + sina sina(1 + cosa) sina(1 + cosa)
(cosa + 1 ) 1
= --------------------------- = ---------
sina(1 + cosa) sina