udowodnij tożsamość
Pola: a) sin2x cosx
−−−−−−−−−−−−−− * −−−−−−−−−− = tg x/2
1+ cos2x 1+cosx
b) 1+2tgx − tg2x 1
−−−−−−−−−−−−−−−−−− = −−−−−−−−−
cos2x +sin2x cos2 x
c) cosx − cos 3x
tgx = −−−−−−−−−−−−−−−−−
sin 3x − sin x
d) 1
−−−−−−−−−−−−−−−−−−−− = cos 2x
1+ tgx * tg2x
e) 2 sinx − sin 2x
−−−−−−−−−−−−−−−−−−−−−− = tg2 x/2
2 sinx + sin 2x
f) 1−tg2 x
2 sin2 x −1 = −−−−−−−−−−−−−
1+ tg2x
18 lis 16:45