Find exactly all solutions to the given equation cos 2cos0 0
Find exactly all solutions to the given equation.
cos 2+cos=0, 0°<360°
Enter your answers in increasing order.
Solution
cos 2+cos=0
2cos2-1+cos=0
2cos2+cos-1=0
2cos2+2cos-cos-1=0
2cos(cos+1) -1(cos+1)=0
(cos+1)(2cos -1)=0
cos=-1,cos=1/2
cos=-1 =>=180o
,cos=1/2=>=600,3000
so =60o,180o,300o
