Răspuns:
tii cont de periodicitatea si paritatea functiilor trigonometrice, cva si de reducerea la [primul cadran
de ex sin (-330°)=sin(360-330)°=sin30° pt ca sin x are per.principala 360°
analog, tgx si ctg x au perioada principal 180°
tg(-150°)=tg(180°-150°)=tg30°
ctg(-240°)= ctg(360°-240°)=ctg120°
cos210°=cos(360°-150°)= cos(-150°)=cos150°
Explicație pas cu pas:
tg30°*cos210°*cos60°/ctg120° * sin30°=
tg30°*cos150°*cos60°/ctg 60° * sin30°= ...dar tg30°=ctg60°
cos150°*cos60°/* sin30°=...dar cos60°=sin30°
cos150°=-√3/2