Question 735476
verify all solutions to the equations in the interval [0,2pie) 
2sin^2x=2+cosx
2(1-cos^2x)=2+cosx
2-2cos^2x=2+cosx
2cos^2x+cosx=0
cosx(2cosx+1)=0
..
cosx=0
x=1
..
2cosx+1=0
cosx=-1/2
x=2&#960;/3, 4&#960;/3 (in Q2 and Q3 where cos<0)
..
solutions: x=1, 2&#960;/3, 4&#960;/3