Was ist die Formel von (1-cosx) / sinx?
Antworten:
#tan (x/2)#
Erläuterung:
#(1 - cos x) = 2sin^2 (x/2)#
#sin x = 2sin(x/2)(cos (x/2)#
#(1 - cos x)/sin x = (2sin^2 (x/2))/(2sin (x/2)cos (x/2)) = tan (x/2)#
#tan (x/2)#
#(1 - cos x) = 2sin^2 (x/2)#
#sin x = 2sin(x/2)(cos (x/2)#
#(1 - cos x)/sin x = (2sin^2 (x/2))/(2sin (x/2)cos (x/2)) = tan (x/2)#