Use trigonometric identifies to solve cos2 theta costheta
Use trigonometric identifies to solve cos(2 theta) - cos(theta) = 0 exactly for 0 lessthanorequalto theta
Solution
Cos(2theta) _ cos theta=0
Cos 2theta=2cos^2theta -1
2cos^2 theta -1-cos theta=0
2cos^2theta-cos theta -1=0
(2cos theta+1)(cos theta-1)=0
Cos theta=-1/2 and cos theta=1
Theta=2pi/3,4pi/3 and theta=0
Theta=0degree,120 degree ,240 degree
