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

Find exactly all solutions to the given equation. cos 2+cos=0, 0°<360° Enter your answers in increasing order.Solutioncos 2+cos=0 2cos2-1+cos=0 2cos2+cos-1=0

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